{"pages":{"search":{"query":"ExMuslim Answers Hub","originalQuery":"ExMuslim Answers Hub","serpid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","parentReqid":"","serpItems":[{"id":"4201703280329326629-0-0","type":"videoSnippet","props":{"videoId":"4201703280329326629"},"curPage":0},{"id":"4654810889162921072-0-1","type":"videoSnippet","props":{"videoId":"4654810889162921072"},"curPage":0},{"id":"4526161353525567050-0-2","type":"videoSnippet","props":{"videoId":"4526161353525567050"},"curPage":0},{"id":"11669527105892133637-0-3","type":"videoSnippet","props":{"videoId":"11669527105892133637"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dEV4TXVzbGltIEFuc3dlcnMgSHViCg==","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","ui":"desktop","yuid":"7855423451776614161"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"18208541705028303073-0-5","type":"videoSnippet","props":{"videoId":"18208541705028303073"},"curPage":0},{"id":"17928227239594594193-0-6","type":"videoSnippet","props":{"videoId":"17928227239594594193"},"curPage":0},{"id":"4004848744048118151-0-7","type":"videoSnippet","props":{"videoId":"4004848744048118151"},"curPage":0},{"id":"3469535475536181902-0-8","type":"videoSnippet","props":{"videoId":"3469535475536181902"},"curPage":0},{"id":"11294882030656541510-0-9","type":"videoSnippet","props":{"videoId":"11294882030656541510"},"curPage":0},{"id":"15873447020367102066-0-10","type":"videoSnippet","props":{"videoId":"15873447020367102066"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dEV4TXVzbGltIEFuc3dlcnMgSHViCg==","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","ui":"desktop","yuid":"7855423451776614161"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"6405994210853324097-0-12","type":"videoSnippet","props":{"videoId":"6405994210853324097"},"curPage":0},{"id":"16587588360804425445-0-13","type":"videoSnippet","props":{"videoId":"16587588360804425445"},"curPage":0},{"id":"12951222904756636794-0-14","type":"videoSnippet","props":{"videoId":"12951222904756636794"},"curPage":0},{"id":"3456030751598459118-0-15","type":"videoSnippet","props":{"videoId":"3456030751598459118"},"curPage":0},{"id":"18279291429859779069-0-16","type":"videoSnippet","props":{"videoId":"18279291429859779069"},"curPage":0},{"id":"11485343103232693095-0-17","type":"videoSnippet","props":{"videoId":"11485343103232693095"},"curPage":0},{"id":"10007417705928070619-0-18","type":"videoSnippet","props":{"videoId":"10007417705928070619"},"curPage":0},{"id":"R-I-113683-5-0-19","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":19,"grab":"dEV4TXVzbGltIEFuc3dlcnMgSHViCg==","statId":19,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","ui":"desktop","yuid":"7855423451776614161"}}},"isAdult":false,"position":19,"placement":"empty"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dEV4TXVzbGltIEFuc3dlcnMgSHViCg==","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","ui":"desktop","yuid":"7855423451776614161"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DExMuslim%2BAnswers%2BHub","pages":[{"reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","start":0,"end":20,"pageNumber":0,"isCounterSent":false}]},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"4123868843076151107152","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_search_toggle_with_text":1,"video_viewer_show_placeholder":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_viewer_related_fail_error_screen":1,"video_viewer_channel_link_mode":2,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","video_viewer_restore_mute_state":1,"tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_kebab_advanced_actions":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":0,"video_baobab_blockstat":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1,"video_comments_smart_nonstop":1},"slots":["29575,0,98;151171,0,68;1281084,0,94;287509,0,29;1006026,0,6;1540408,0,99;1540877,0,77;1529214,0,39;1541127,0,71"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DExMuslim%2BAnswers%2BHub","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=ExMuslim+Answers+Hub","settingsUrl":"https://yandex.com.tr/tune/search/","helpUrl":"https://yandex.com.tr/support/video/","legalUrl":"//legal.yandex.com.tr/termsofuse/","feedbackUrl":"https://yandex.com.tr/support/video/troubleshooting.html","basename":"/video","currentPageName":"search","isYandexApp":false,"isYandexAppAndroid":false,"isYandexAppIos":false,"isAnyYaBro":false,"isAndroid":false,"isHamster":false,"serpid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=ExMuslim+Answers+Hub","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"ExMuslim Answers Hub: Yandex'te 1 bin video bulundu","description":"Результаты поиска по запросу \"ExMuslim Answers Hub\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"ExMuslim Answers Hub — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y43fd88eab5b3c3cf71e33cfa8f9e748c","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"29575,151171,1281084,287509,1006026,1540408,1540877,1529214,1541127","queryText":"ExMuslim Answers Hub","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"7855423451776614161","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459585,1461130,1492788,1495633,1511916,1514845,1535081,1540074,1543051,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1776614210","tz":"America/Louisville","to_iso":"2026-04-19T11:56:50-0400","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","isEmbedded":false,"shouldShowMainPageButtonInViewer":false,"shouldDisableWebp":false,"removeLinkPrefix":"/video","shouldUseHighresPreview":true,"shouldCutSnippetTitle":true,"shouldShowPlusBadge":true,"reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"29575,151171,1281084,287509,1006026,1540408,1540877,1529214,1541127","queryText":"ExMuslim Answers Hub","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"7855423451776614161","uid":"0","isChildAccount":false}},"deviceDetect":{"OSFamily":"Unknown","isTV":0,"x64":0,"GoogleToolBarVersion":"","MultiTouch":0,"BrowserBase":"","YandexBarVersion":"","isTablet":0,"YandexBar":0,"hasWebOmni":0,"isTouch":0,"hasYandexCamera":0,"isMobile":0,"DeviceKeyboard":"","device":"desktop","TurboAppPlatformVersion":"","historySupport":0,"BrowserShellVersion":"","DeviceVendor":"","isBrowser":0,"hasFlash":0,"MailRuSputnikVersion":"","isSameSiteSupported":0,"BrowserBaseVersion":"","BrowserVersionRaw":"","hasWebVert":0,"DeviceId":"","error":"","MailRuAgent":0,"ScreenWidth":0,"inAppBrowser":0,"hasHTML5":0,"isEmulator":0,"J2ME":0,"MailRuAgentVersion":"","BrowserEngineVersionRaw":"537.36","isRobot":1,"__is_plain":1,"BrowserEngineVersion":"0537.0036","BrowserName":"Unknown","DeviceModel":"","BrowserEngine":"WebKit","DeviceName":"","OSVersionRaw":"","OSName":"","GoogleToolBar":0,"ScreenSize":"","isTurboApp":0,"MailRuSputnik":0,"YaBuildName":"","isWAP":0,"PreferMobile":0,"DesktopMode":0,"BrowserVersion":"","BitsPerPixel":0,"BrowserShell":"","YaGUI":"","isBeta":0,"OSVersion":"","ScreenHeight":0},"nonce":"4123868843076151107152","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":155,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"wildcard":false,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"shouldCensorShockContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"isWatchingProgressInDoc2DocEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isReactionsEnabled":false,"isVideoReactionsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"isCommentsSmartNonStopEnabled":true,"isCommentsOnboardingEnabledInTesting":false,"commentsOnboardingTextVariant":null,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":true,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"isCommentsAuthPopup":false,"preventAdvHideOnEmpty":false,"isPlayerChangeCounterEnabled":false,"isSmallTitle":false,"shouldRestoreMuteState":true,"isAdvUnderPlayerWithSlider":false,"isAdvUnderPlayerCommentsAligned":false,"isSerialNavigatorDisabled":false,"isAdvInVideoListWithInnerPadding":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"showShock":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"7855423451776614161","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1809.0__e8449bbc20afa49fb5f5a818696f762092f0142d","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","request_entry_completed":"2021","snippet":"254","icon":"1167","abuse":"1436","submit":"297","extralinks":"3557","feedback":"296","wizard":"358","incut":"1073","out":"3218","popup":"1544","scroll":"768","show":"487","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"4201703280329326629":{"videoId":"4201703280329326629","docid":"34-3-15-Z38A2FBA1B3871B03","description":"Get to know me a bit better as I attempt to answer many of the questions I received this week! - ►Join Patreon (preferred) to get access to perks...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3479733/2feb545b873f698e004e04c63b177e51/564x318_1"},"target":"_self","position":"0","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D9O3LTSsh9OQ","linkTemplate":"/video/preview/4201703280329326629?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Exmuslim Answers 80+ Questions! (Impossible)","related_orig_text":"ExMuslim Answers Hub","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ExMuslim Answers Hub\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=9O3LTSsh9OQ\",\"src\":\"serp\",\"rvb\":\"Eq8DChM0MjAxNzAzMjgwMzI5MzI2NjI5ChM0NjU0ODEwODg5MTYyOTIxMDcyChM0NTI2MTYxMzUzNTI1NTY3MDUwChQxMTY2OTUyNzEwNTg5MjEzMzYzNwoUMTgyMDg1NDE3MDUwMjgzMDMwNzMKFDE3OTI4MjI3MjM5NTk0NTk0MTkzChM0MDA0ODQ4NzQ0MDQ4MTE4MTUxChMzNDY5NTM1NDc1NTM2MTgxOTAyChQxMTI5NDg4MjAzMDY1NjU0MTUxMAoUMTU4NzM0NDcwMjAzNjcxMDIwNjYKEzY0MDU5OTQyMTA4NTMzMjQwOTcKFDE2NTg3NTg4MzYwODA0NDI1NDQ1ChQxMjk1MTIyMjkwNDc1NjYzNjc5NAoTMzQ1NjAzMDc1MTU5ODQ1OTExOAoUMTgyNzkyOTE0Mjk4NTk3NzkwNjkKFDExNDg1MzQzMTAzMjMyNjkzMDk1ChQxMDAwNzQxNzcwNTkyODA3MDYxOQoTNjcxNDAxODU0ODU2NDkxOTkwMQoUMTQ2NzE4NDI4NDA5NDA0NjQ1OTkKEzg4NzM5NjY3OTYzMzc5NzA5MTQaFQoTNDIwMTcwMzI4MDMyOTMyNjYyOVoTNDIwMTcwMzI4MDMyOTMyNjYyOWqvDRIBMBgAIkUaMQAKKmhoZndkZnpobWd0aGJka2RoaFVDQ1V2cGNXMzBreU1KR0lnSTRMdG1rURICABIqEMIPDxoPPxOdOYIEJAGABCsqiwEQARp4gQkF-vwAAAAG8wgCBAj9AvD8AAT7__8A6Pr8_gT-AQD2AfsMBwAAAPoL-wMCAAAA-gf7B_v-AAAHGf0ABAAAABT5Cv0BAAAAAwD4_fb7_QP-_Pf--QEAAAr8Ae7_AAAA7QMQAv8AAAD-CAMMAAAAAAz0Ev4AAQAAIAAtGATVOzgTQAlITlACKnMQABpgEhAAMw028L0KMM_8A98xHRX4Dhm36f_h-P-xSPDU-_vluwcb_zn28OqnAAAARAYHHS4A_X8u0dIpF9UNs-n3KgdmtSCX2wHw7e8u6R0EMiAD1jZrAMv55P0WDhc_9RAdIAAtPQUfOzgTQAlIb1ACKq8GEAwaoAYAAMBAAABQwQAAKEIAAEDAAADIQQAAwEEAANBBAAAAwQAArMIAADDBAAAMQgAAgMEAAJjCAAAgwgAAIEIAAPDBAAC4wQAAWMIAAAAAAABAwQAAgL8AADjCAAD4wQAAKEIAAHRCAACAwAAAYMEAALbCAACAQgAALEIAAFDBAAAkQgAA6MEAAOhBAAAgQQAABMIAAGBBAAC8QgAAQMAAALDBAACAQQAA2EEAAGBCAAAoQgAAYMEAAFDCAAAQQQAAiMEAAFhCAAAswgAAuMIAANDBAACAQAAAGMIAAHBBAAA8QgAAPMIAAMhBAABAQQAAvsIAADBBAADAQAAAcMIAAAzCAABMQgAAoMAAAFRCAAAIwgAAgMAAAOjBAAAMQgAA6EIAADTCAACeQgAA4MAAAIA_AACYwQAAgEAAABDBAAAAwQAAjsIAABRCAACgwQAAgEEAAJBBAACEQgAASMIAAI5CAADAQQAAOMIAAGxCAACQQQAAJEIAAHDBAACYwQAAgEAAAABBAABsQgAAFEIAAAjCAAAUwgAAWEIAAGBBAACQwQAAUMIAAATCAABQQgAAwEAAAIDAAABAQgAA2EEAABDBAACowQAADMIAAGhCAADgQQAAwMAAAABBAACgwAAAwEAAAFxCAAA0wgAA-MEAAPDBAABoQgAAsEEAAMjBAABQQQAAQMIAAKLCAABYQgAAfMIAADzCAACIQQAAoEAAAPBBAACgwAAA0EEAABDCAADAwQAAoEAAAFBBAAAkQgAAAEEAAAxCAACQQQAAAMEAACBBAABgwQAAgL8AAKBBAACgwQAAFEIAACjCAABEQgAAbMIAAIDAAACSwgAAAEEAACRCAAAQwQAAwEEAAKDBAADYQQAAfMIAADTCAAAMwgAAwMEAABhCAAA4QgAA5MIAAHBBAACYwQAAgMEAAEBBAAAQQgAAJEIAAAjCAACgwAAAZEIAAIBBAADAwAAAyMEAANDBAACwQgAAlMIAAKTCAAAYQgAAiMEAANBBAAC4wQAAqMEAAIA_AAAAwAAAYMEAABBCAAAcwgAAtEIAALjCAADQwSAAOBNACUh1UAEqjwIQABqAAgAALD4AAPg9AABQPQAAQLwAAAQ-AACaPgAAXD4AAN6-AACCvgAAEL0AAFw-AACoPQAA4LwAAIC7AAAQvQAAZL4AAHw-AABAvAAA2D0AAPo-AAB_PwAA6D0AANo-AADYvQAATL4AAES-AABEvgAAND4AAPi9AADGPgAAjj4AADQ-AAAcvgAAkj4AAFS-AADYPQAAnj4AAJi9AAAfvwAADL4AAKa-AABwvQAAED0AAIg9AABMvgAAgj4AAEA8AAAsvgAAcD0AAJ6-AAD4vQAADD4AAOg9AACOPgAA-L0AAEA8AAAZPwAAiL0AABw-AACmPgAAPL4AAES-AAAMPgAADD4gADgTQAlIfFABKo8CEAEagAIAAEA8AAAQvQAAZD4AADe_AADoPQAAmD0AAJi9AADgvAAAVL4AAEA8AAAwvQAAZL4AAGw-AACSvgAAPD4AABC9AACAOwAAIz8AABC9AAA8PgAApj4AAI4-AAAEPgAARL4AABA9AAAkvgAAFL4AANg9AAAsvgAAiD0AAPg9AACYPQAAJD4AAEy-AACoPQAAcL0AALg9AAAEPgAAkr4AADA9AABwPQAAcL0AAEA8AADgPAAAuL0AAMi9AAB_vwAAuD0AADC9AAAkPgAAgDsAAOA8AAAcPgAAFD4AAEC8AABwPQAAML0AAIA7AACAuwAADL4AADC9AABMPgAAdD4AAOC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=9O3LTSsh9OQ","parent-reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["4201703280329326629"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"4654810889162921072":{"videoId":"4654810889162921072","docid":"34-3-2-Z7C21A35A20E2D8AC","description":"It's a term that I believe needs to be a lot more popular than it currently is. For more information about exmuslims in North America, check out this report: https://exmuslims.org/apostate-report...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/474494/a91abcad5caa1cdae5db69c5a5c567c9/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Y5GCQwIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DToEnqF_nJ28","linkTemplate":"/video/preview/4654810889162921072?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"What is an \"Exmuslim\"?","related_orig_text":"ExMuslim Answers Hub","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ExMuslim Answers Hub\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ToEnqF_nJ28\",\"src\":\"serp\",\"rvb\":\"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_z-AgD1AQMFBwX9AfkD_wH5_f0A9AYC_wcC_wD4-_8FBQAAAP0FCAn5AAAA5f3___YCAAAJB_v5BAAAAAbrBPn-AQAA__MGAf8BAAAMCwUGA_8AABYF_gYAAAAA9wIG9v__AAD___sMAAAAAAP2CfsAAAAAIAAtWiDYOzgTQAlITlACKoQCEAAa8AF_CQEDsgcE_EP5_AD7-gwBigUK_0X86P_oAgYAugH6_wr4AAHe_QAAGv8MAAwT-gDr9_b_9fYDAPID_f8sF_kA8fz-AAbxCAD73foB4RriAO4PBP_4EvwCBwHqARII-_8J-wL83vz8AgXtBAIZFggBCgYQA-3_9f4EEf_95PH8_Q73-v0S-_7_3Aj__vETEgDv4gcA7gUWAh7vCP8H_-IBDPzc__YT8PsRFQUE__b5BfcT-wD9CP7-AgYTAvcABQEQ8ggIBwsMAfvwA_oRBwP9C-oVAuj5AvkWDvD_A-YRAdnz-fwW8gT98wD6De74AfcgAC2zdFc7OBNACUhhUAIqzwcQABrAB8GnBb_UlRU8csPvvIKVILw8yKG6R462OwDkRD6f7AG9gDH9OQRamr2I-yM8jhYxPLIv4b6OiHM8gsDSusuAMz7m0Yi9mGIzPE96Wj3khj47-QaQveC7bb5eipY9FrlMvCAwyj3Ay1G9F7eTu0zSK724Lsa83G2NPM02PL0hI4s97H56PdybBDzUk968_O0BvaWa_juVybq8eOXhu0CDcrx6apo9fxVgvKsQBzypdwc9I3z5vMqUBT2NogI9u7ObvLJZnz0r1MS9EXHzPO7QML1Yeoi8iyrPu98JDL3PKVA5to4evMFTGL7YsDC9NxSAu-rxVjwwHtS8M3dUudUSgT0mPQc937eMOyo7mLwBlDU9xKahu71AxD3iIJE9oWzlPAlfqT123Ru9kDpwvLOfQL2l0a67HIUevJOhtL0lnMw83dWnOy0OH7xVVi49EEIbPVEzv7zFVlA90Ui6vDMGDL1VQ-y8aBnzOsRDE70_GN08ZZvlvG-df7znQTA829qnPBTs_70c0xO9AiHAO9vMF71MZoY862SdO8hdhDyNlII9NsgkvOnJZj2BsDM9nHU-O997rjxGHBy9XgwrO3TkEDyDiLO7CbpivNWhmT0irpg7Y28UvA9IIr322HE8XRgiuun5bDuH16o9Ds_9u898mLzwsP-8wB0Pu_LkH724Nre7Uchnu6MNxj2Wr8s6YG69O1FtSz1h1Qu7toZvO_FoYz32bmK9wbcpul-5GT3KwGa9UAqIOye9D70dIJg8BEyJO5k2Mr0NGpc7C_KXudNXJj2gJ--8L0kZuHdf3zsJrWI8wk0DuSnMe7who6w7p4JTOe5f-b2rCf28hegUubhOrTwxlV49nEaOODcNmz1Rxzk9uSM-N1NZ9L2v4bO8jIyPuVUo3DzmB8k8PS2VuGlhw7vvNpQ8cku5OAShJj1KqoC8L_M4OTJk6zzV1Rm7mTfLuFEmnDtOtic6Pyo6N5IDtjwvfI67Z12KuAqAsbwnF-M9YmCSueYWxLw70QS9ERbquHkdxj2Uq1O9tHwaOLGJK7sW6fa7hzEgOPWCD7y0kta9e3UGOQu-ITyTEC86NkCcOA5RQL0XyQe8XvaStpTdjLx4h8q8LidoOLezzz2nDJe9CE9HuAnREL3h0Nu9sc_LN4jNEb1yD049_ovut3MIIT0c7dk7zQGoN-YwKTw3cAe9rmMlOFZmhT1bbMk8ZGiAuKN_-rsxJBc-jP1Qt4_mk70rCC88CZYwuLogUb1t91y9fHaEtyg1qrwz3CC9FZJMNiAAOBNACUhtUAEqcxAAGmAZFQAO9hTtpwI3zf8RIioA-fAL2O4HAP3-ANg0DPnuHgzW7xX_L_EZ1rkAAAAw0vQk6gDfXQXF5CYT8vzR4ewSyn85A_n2C8O-uc2t9-ztCQ31KzEA6_vmHi0I7ggnORIgAC0gATc7OBNACUhvUAIqrwYQDBqgBgAAIEEAAABBAADgwQAA4EAAAKDBAADIwQAAaEIAAKjBAAA4wgAABEIAAMBAAAB0wgAAcMIAALTCAACwQQAAmMIAALhBAAAwwQAAEEEAAIBAAACmQgAA-MEAAADAAACAvwAAIEIAAKDBAAB8wgAACEIAAIZCAAAMQgAAyMEAAIBAAABgwgAA0EEAAIjBAABQQQAAiEEAAERCAABAwAAALEIAAGRCAAAkQgAAIEIAAKhBAABAQgAAwEAAAETCAACowQAAdEIAAOjBAADgQAAAgsIAAODAAAAYwgAAHEIAABhCAABswgAAHMIAAIC_AABwQQAAMMEAAMDBAAAwQQAAdMIAAFTCAADAwAAAJEIAAFDBAAAwwQAAAAAAAAhCAAAwQgAAEMIAADhCAACgQAAAEMIAAFDBAACAQQAAqMEAACzCAACWwgAAyMEAAOhBAACqQgAAAMAAAIrCAACwQQAAVEIAAMBAAAB0wgAAYEIAACRCAABYQgAAxsIAAIBAAAB4wgAA2EEAAJBBAADwwQAABEIAAADAAAAIQgAAfEIAAIjBAABIwgAAcMEAAKhBAAA4QgAAgEIAAARCAAA0QgAAoMAAAIBBAAAAAAAAkkIAADDCAAAAwQAAfMIAAKDAAAAMQgAAcEEAAAzCAABkwgAAmMIAAEBCAACyQgAAoEAAAABBAAAwwgAAHMIAAJhCAAD4QQAA0MEAAJhBAABgQQAAwEEAAJhBAACAQAAABMIAAIrCAADYwQAAUEEAAABCAAC4QQAAwMAAAJBBAAA8wgAA6EEAAADBAAAAAAAAiEEAAEDBAAAIQgAAOMIAAChCAACIQQAAgL8AAL7CAAC4QQAATEIAAKDAAABAQAAAqMIAAFDBAACIwQAAosIAAKhBAABAQAAAkEEAABRCAAC6wgAAgL8AAMjBAAAAAAAAAEEAAADAAAAAwQAAMMIAAADBAAC6QgAANMIAACDBAADAwQAAmMEAAHRCAABYwgAAhMIAAKxCAACgwQAAAEEAAHBBAACUwgAAIEIAABxCAADgQAAAAMEAAHzCAAAAAAAAiMIAAIjBIAA4E0AJSHVQASqPAhAAGoACAAAEvgAAgDsAAIY-AADIPQAAHD4AAEQ-AAAUPgAAzr4AAOi9AAAwPQAAHD4AAFy-AAA0PgAAUD0AAJg9AAD4vQAAqD0AAKA8AACYPQAAuj4AAH8_AAA8vgAAFD4AALg9AAAQvQAALL4AAKA8AADuPgAAoLwAAEw-AAA8PgAAuL0AAEy-AACWPgAAFL4AANi9AABkPgAAhr4AANa-AACGPgAAUD0AAKK-AAA8PgAAcD0AAHA9AAAEPgAAMD0AABS-AADgPAAAor4AADy-AABcPgAApj4AACw-AACIPQAA-D0AAOY-AABwPQAAyD0AAOY-AACAuwAAUD0AAKA8AABkPiAAOBNACUh8UAEqjwIQARqAAgAArr4AAJY-AADovQAAM78AAPi9AAC4PQAAij4AADC9AABwPQAADD4AAEw-AACavgAAHD4AANi9AADIPQAAmL0AADC9AABFPwAAgLsAAHw-AABUPgAAmD0AALI-AABcvgAAiL0AAHC9AAAEvgAAZD4AAAQ-AACavgAAyD0AAFA9AADovQAAuL0AAHQ-AACuvgAAlj4AAGw-AABkvgAALL4AAIo-AACAuwAAML0AALi9AAAQPQAAdD4AAH-_AABQPQAAED0AAIo-AABEPgAAND4AAMg9AACmPgAARD4AAIg9AAAwvQAAqD0AAEQ-AABMvgAAFD4AAOA8AAAUPgAAUL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=ToEnqF_nJ28","parent-reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["4654810889162921072"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2050893340"},"4526161353525567050":{"videoId":"4526161353525567050","docid":"34-1-8-ZB5F8FF2CFFFC34E6","description":"ergün hoca Udemy de !!! KURS 1- Limit- Süreklilik- Türevin Tanimi VE Uygulamalari 134 Video- 24,5 SAAT- 20 Deneme Sinavi- 110 SORU (Cevaplari İLE Birlikte) https://www.udemy.com/course/limit-su...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3015568/6d6b71c5855bda5991c2e4fdc9def09e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Ivf1QAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=videoid:4526161353525567050","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan matematik dersidir. Eğitmen, asimtotlar konusunu detaylı bir şekilde anlatmaktadır.","Video, asimtotların temel kavramlarını açıklamaktadır. Eğitmen önce düşey asimtotları, ardından yatay asimtotları örneklerle açıklamaktadır. Düşey asimtotların fonksiyonu tanımsız yapan noktalar olmadığını, fonksiyonun belirli bir noktaya yaklaşırken sınırsız olarak artması veya azalması durumunda oluştuğunu vurgulamaktadır. Yatay asimtotların ise fonksiyonun x'in artı veya eksi sonsuza giderken belli bir değere yaklaşması durumunda oluştuğunu anlatmaktadır. Video, eğik asimtotlar konusuna geçileceği bilgisiyle sonlanmaktadır."]},"endTime":688,"title":"Asimtotlar Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Asimtotlar Konusunun Tanıtımı","list":{"type":"unordered","items":["Asimtotlar konusu eğri çizimi içerisinde kullanılır ve orijinal sorular da gelebilir.","Asimtotlar konusunu düşey, yatay, eğik ve air sırasıyla tanıtılacaktır.","Asimtotlar, bir eğriye sonsuza teğet olan eğri ya da doğrular olarak tanımlanır."]},"beginTime":7,"endTime":58,"href":"/video/preview/4526161353525567050?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=7&ask_summarization=1"},{"index":1,"title":"Düşey Asimtot","list":{"type":"unordered","items":["Düşey asimtot, x bir a değerine yaklaşırken f(x) fonksiyonu sınırsız olarak artıyorsa veya azalıyorsa x=a doğrusudur.","Fonksiyonu tanımsız yapan noktalar düşey asimtot değildir, sadece aday noktadır.","Düşey asimtotlar tek taraflı meydana gelebilir, yani sadece sağdan veya sadece soldan yaklaşıldığında sınırsız artan veya azalan fonksiyonlar düşey asimtot oluşturabilir."]},"beginTime":58,"endTime":450,"href":"/video/preview/4526161353525567050?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=58&ask_summarization=1"},{"index":2,"title":"Yatay Asimtot","list":{"type":"unordered","items":["Yatay asimtot, x artı sonsuz veya eksi sonsuza giderken f(x) fonksiyonu belli bir b değere yaklaşıyorsa y=b doğrusudur.","Yatay asimtotlar da tek taraflı oluşabilir, yani sadece artı sonsuza giderken veya sadece eksi sonsuza giderken fonksiyon belirli bir değere yaklaşırsa.","Rasyonel fonksiyonlarda, payın derecesi paydanın derecesine eşit veya daha küçükse yatay asimptot vardır, payın derecesi paydanın derecesinden büyükse yatay asimptot yoktur."]},"beginTime":450,"endTime":670,"href":"/video/preview/4526161353525567050?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=450&ask_summarization=1"}],"linkTemplate":"/video/preview/4526161353525567050?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"37) Matematik 1(Calculus 1) - Türevin Uygulamaları- Düşey ve Yatay Asimptotlar- Asimptot Soruları 1","related_orig_text":"ExMuslim Answers Hub","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ExMuslim Answers Hub\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=H0c9wVCR7Ds\",\"src\":\"serp\",\"rvb\":\"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_ARP9_QD2AQEA5AP8Cgj9AgAF9fsE-QEAAAIH_wL9AAAA-_3-B_7-AAAI_PX9-AAAAPcB_wP6AAAA-Ab6AP8BAAD_Bfv_A_8AAA8ACPv_AAAAAQX9Bvn_AAH_BfYDAAAAAPvs_v8AAAAAIAAtxcPcOzgTQAlITlACKoQCEAAa8AF29On-6wPfAeQVvwGrOd7_gSIK_v0x1QC98gsAvPfKAO4X4ADh6xv_GwghAdsP6AA89s3_8d8Q_zfe_AAE8_YB1iUWARLX8AI4Eir_BffxAAM1FwES3hsAF9nVA_7z-_z38Pj_8e3X_vb03QYy3BEC-xgk_wcZBALx6QwB1hQCAeX22v0LAPYJ8Obw--oHIwEN8Pr7K_MQBPUT-AD56_gA6-UJ9RAV8wAc3gQCBfnt-gIiCPwxGOj6Eh3-98bu_voc4R0BCOX_AOsMAwEn8hsA-fX6_Rn19QsgB_0GI_kGAPD0-_3zCPEJ9-P2AvUD9wAgAC3_IR07OBNACUhhUAIqzwcQABrAB23I375z99Q8_gGgPJqCm72ptRe8AwVevUleJ73jVVY9pr_NvCtR9jxzvtg8OnR6vJxNl77qPVy5ZI8WvJjdIz6BSZC9Q_T1vHE9Wr7nFr89hUyovOdWeL4CWsS8eFIRurGkvD3w9O-8GI1GPHIeaT07anG9vLQ8vTM4pbyAJds7WwBkvBtGAb5iLY69RusoO9uZUz2SC5m9vOvsu8jUGD1sy0W9iFyZu7PNcj1B-4c8CvfKvBTwBj0FQVM7OjeSuyvZ8T09fQS9LwFTPDysJjzg1p08_noqvCYFkb38Z5M72J2sO_cm4TxdhpQ98LXxvHkqhj1FBym9CpAXvU3zjr1sb8G8LDz5PCcXEz5P1XM9FamwPCYMdL1dRrs9TCy6PFbvgjprbjs8DoLxOteK1j1wbfY7VIupupbFDj2BmZo9_8dPu_aFxrzGLSy7ukZwPM-krT1gZDg85uKUvA5fDzzZFi-8iMLjutJtDr1Ikps9ON0PvDPJkz2y53w8NBH0OxYYDTxuc187Ka94O5uVCL0Idgy-zaXhuy7yHbxvLpm9zct-u0-t_jw6r_G8oyqcvPYFqT3BvNG8b3zxu0ctTzpAFgE81pVHu_MnYLw_xty9KcrGu1V0mr2bVHQ92j4ePChyUr10MDE9Pqn-u_7Zuj0rEgM-y7FbuZGgU7zfJq29Fu2euqza_zwS2MG8HWI0O-ZmDTxrKSA9oDd0O2x7ez1N4LE8q4qZOloKTT1NV5E5JmxhuPRTh71H_G07M9gQupRAtD3gzWS94odqOYEKQj0P1RA8Yc0zuAIPCjwoHc84EeNIOgZ2Jj3q24i9As1mOKs9kb0aUhW-MFEKOkX-zzyQ4707IBaNOfg9hT0wXxa6FJsFOJSk670Rwf462PPSuDf74jq8VBE9XHC5tmJV0rs0dhO9FJIfuCCMqTxnnlc9UgA3OPTYW70yXk48fuzaONpCpr07KZ09Ai-Nt5i0Ujs_cMW99y5gOZp1u71_xMo9_AAuuWtpybw6d7s8isLDt0CYJbzjIpI8K_VbuWdnbD0FTeu9XyY1OGXRir3kH0w9p0tfOFRT0r3odM-8L_jFN0mMVLzvSoy9eSvXNlIxiT3fclC9c1JYN0IoSrzbk3a8SZwUONRg2j0H45G9x5dPuRmbbL2JhOW8tErON170hT1QUiC9rLT_NwetnL3GhCo6j1O2N7MxBrsIr729HH2mt8r0cD0i4Ss-8cuKODwp-rtVKm094DKNuLQWwL1UNLs9PF-yOHoMgL0pgD08xFm3tyAAOBNACUhtUAEqcxAAGmA94AA89uTi6tz57BnyGi6tuObHG837_wDY_9Md3w7UOtK6HST_KhTz_p0AAABC5_LpDQDvf9f_7xfs9S63tvER5kb2Fxzg2vcJtMJH5A3lAenPIkcAytaeA03boygnRewgAC0G3xg7OBNACUhvUAIqrwYQDBqgBgAAOEIAAMjBAACoQQAAosIAAEDBAAAgwgAAcEIAAEBBAAAAwgAAoEAAAEBBAACGwgAAMMEAAIC_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_AACAQAAAKMIAABDBAACgQAAAoMAAAChCAACIQgAACMIAAJDBAACQwQAAKMIAACDCAACUwgAAMEEAAHzCAABUQgAAgEEAAKDAAAAQQQAASEIAAEBAAACiQgAAfEIAADDBAADYwQAASEIAAJBBAADAwAAAVMIAAMhBAABAwQAAQEEAAJhBAADIQgAASMIAAKbCAACwwQAAFMIAAHxCAADAwQAAuMEAAKDAAAAYwgAAQMAAAMBAAAAYwgAAUMEAAHDBAADgQAAAQEIAAPjBAAAgwQAAqMEAAJLCIAA4E0AJSHVQASqPAhAAGoACAAAsvgAANL4AAMi9AAC4vQAAuD0AAO4-AAAsPgAAH78AACS-AABsPgAArr4AAOC8AACIvQAAcD0AAKq-AACgvAAAgj4AANi9AADoPQAAGz8AAH8_AADIvQAARD4AAKi9AABwPQAAiD0AAMg9AACePgAAPL4AAKA8AAAkPgAANL4AAOg9AACGPgAAUL0AAJq-AACAOwAAhr4AAK6-AABsvgAAuD0AALi9AAD2PgAAgr4AAAQ-AACKvgAAgDsAAES-AAB8vgAAvr4AAAQ-AAAUvgAAbD4AAOg9AAAkvgAAyL0AAFU_AADgPAAARL4AAKC8AAAQPQAAgj4AADC9AACOviAAOBNACUh8UAEqjwIQARqAAgAAQLwAAGw-AAD4vQAARb8AADS-AABwPQAAdD4AAFC9AAAwvQAAiD0AAOi9AABkvgAAuL0AACy-AACoPQAAqL0AANi9AADSPgAAjr4AAHQ-AAAwPQAAyL0AAJi9AACIvQAAoLwAAKi9AAB8vgAAoLwAABS-AABQvQAAUD0AAMg9AAAMvgAAuL0AACy-AAAwvQAAcD0AAKg9AABUvgAADL4AAHC9AAAsPgAAED0AAKg9AAAQPQAAuL0AAH-_AACGPgAAXD4AAKg9AACYPQAAgLsAAIA7AACiPgAA2L0AANg9AABAvAAAiD0AALi9AADgPAAAgDsAAOA8AACCPgAAEL0gADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=H0c9wVCR7Ds","parent-reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":480,"cratio":1.77916,"dups":["4526161353525567050"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"4256179870"},"11669527105892133637":{"videoId":"11669527105892133637","docid":"34-4-13-Z99F7C683F86E427C","description":"For Quran References: https://www.islamawakened.com/ For Hadith References: https://sunnah.com/ For Tafsir References: https://www.altafsir.com/Tafasir.asp?...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3284369/6811f967f2217ba5d06cc3462e4477a1/564x318_1"},"target":"_self","position":"3","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D5n0KmTOb70E","linkTemplate":"/video/preview/11669527105892133637?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Ahmad ExMuslim Debated 5Muslim About Who is the Sinner |Educational Purposes @followthebest","related_orig_text":"ExMuslim Answers Hub","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ExMuslim Answers Hub\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=5n0KmTOb70E\",\"src\":\"serp\",\"rvb\":\"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_E7M1ggQkAYAEKyqLARABGniB8BECCAj3APjqCgoHCPsC5QbyC_kAAAD9-foC8QX-AALuBP_5AQAABwMEBPQAAADr9Qz-8QABABgE8gD0AAAAHAkLDfsAAAD_CPwA_gEAAAEI__YDAAAAIBMD_P4AAAAO_f7uAP__ABMJ_vABAAAADvn3-gAAAAAgAC1X6Lk7OBNACUhOUAIqcxAAGmD1EgBJ8e8UqRIW2BhEBQIHDckRLq8U_-_8ALMUGN77HsC2Wwj__fkf8KQAAABN7_oqRQDEf-7n2A3-3O7G5sEqF3MmGPPpMfwEr9jA3votBwe5Xy0A2PzhDlrVCj8BAfEgAC1VrxY7OBNACUhvUAIqrwYQDBqgBgAAqMEAAMDAAABAwAAAGMIAAABAAADYQQAAHEIAAKjBAAC2wgAAQEAAAARCAADwQQAAnsIAANDBAACEQgAAOMIAAEBBAAAowgAAIEIAAKbCAAAwQQAAbMIAAHTCAACgQQAAlkIAANjBAACIwQAAIMIAALBBAAAcQgAAYMEAAFDBAABMwgAAUEIAAJDCAABUQgAAiEEAAJJCAADAQQAAoEAAAABCAAAUQgAAgMAAANhBAABAQQAAZMIAANjBAAAEwgAAgEIAAIDBAABowgAACEIAACDBAACAwAAAFMIAAIDBAAAcwgAAREIAAFDBAACAQgAA4EAAAEBAAACYwQAAwMEAAJBBAAAgQQAA4EAAALBBAABQwQAAGMIAAFRCAACkQgAAGMIAAIJCAAA0wgAAuEEAAFDBAADAQQAAoMAAAKBAAABYwgAA6EEAAIDBAAC0QgAAEEEAALpCAABEwgAAyEEAANhBAACcwgAAgEAAALhBAAAoQgAA4MEAAOjBAABQQQAAuMEAADRCAACUQgAA8MEAAEjCAACMQgAAtkIAAJLCAABowgAAUEEAAGDBAAAAwQAAVMIAABBCAABUwgAA0EEAALDBAABIwgAAdEIAACBBAADAwQAAwMEAALDBAAAswgAAmMEAAPDBAABgQQAAsMEAAODAAACOQgAAgEEAABTCAADQwQAAUMIAAMBAAACowQAAAMIAAIJCAACYQQAAUMEAANhBAADIQQAAbMIAAILCAAAQQgAAgD8AACRCAADAwAAAMEEAAFBBAABAwQAAMEEAAAzCAABAQQAAiEEAAFhCAAD4QQAAYMEAAEDAAAAAQAAAEMEAAMLCAABkwgAAqEEAAIDAAAA4QgAATMIAAFBBAADQwQAA0MEAABBCAAAEQgAAfEIAAARCAACUwgAAmEEAAABAAAD4QQAAYMEAAIBBAACMwgAAgEAAAOBAAADoQQAAgMEAAETCAAAAwAAAMEEAAIRCAAA8wgAAhMIAAKDBAAAwQQAAgMEAAIrCAABAQAAAQMIAAGjCAABoQgAA-EEAAEzCAADoQQAAcMIAAIDCIAA4E0AJSHVQASqPAhAAGoACAAAsvgAAjr4AAM4-AAAMvgAA6L0AAOA8AADoPQAAVL4AAPi9AABMPgAAML0AAKo-AAAkPgAARD4AADA9AABAvAAAFD4AABS-AAAwPQAAnj4AAH8_AAAUvgAADD4AADQ-AAAwvQAAmL0AACQ-AABAvAAABD4AAOI-AAAQvQAABL4AANi9AACIPQAAMD0AAKi9AAAEPgAA4LwAALq-AAAEPgAAqL0AAJi9AAA0PgAAuL0AALi9AABwPQAApj4AAAS-AAD4PQAAsr4AAJq-AACgPAAA8j4AABA9AABMvgAAiD0AAAs_AAD4vQAA4DwAAKY-AAAEvgAAuL0AALg9AAAwvSAAOBNACUh8UAEqjwIQARqAAgAAiL0AAKI-AABcPgAAP78AADS-AACCvgAAJL4AAJi9AADYPQAAgDsAALa-AAB8vgAAQLwAAES-AAD4PQAAyL0AACS-AAA3PwAA6D0AAK4-AADIPQAA3r4AAKA8AABsvgAAiD0AAKi9AACAuwAAyD0AAGw-AACYPQAA2L0AABA9AAC4PQAAyL0AAOA8AADoPQAARD4AAJg9AAD4vQAAoLwAAEA8AACIPQAA4DwAAHA9AADYvQAAmL0AAH-_AACAuwAATL4AAL4-AADovQAAEL0AAKA8AABkPgAARL4AADA9AACIvQAAcD0AADy-AACgvAAAFD4AALg9AACePgAAyL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=5n0KmTOb70E","parent-reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["11669527105892133637"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"18208541705028303073":{"videoId":"18208541705028303073","docid":"34-6-13-ZFBB035B3638930B8","description":"ergün hoca Udemy de !!! KURS 1- Limit- Süreklilik- Türevin Tanimi VE Uygulamalari 134 Video- 24,5 SAAT- 20 Deneme Sinavi- 110 SORU (Cevaplari İLE Birlikte) https://www.udemy.com/course/limit-su...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3412493/2c07aeb77f9f3179c542f402d8faeb55/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/uoa7eAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=videoid:18208541705028303073","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitim içeriğidir. Eğitmen, Ergin Hoca olarak bahsedilen bir matematik öğretmeninin öğretilerini aktarmaktadır.","Videoda, bir fonksiyonun kritik noktalarının nasıl inceleneceği adım adım anlatılmaktadır. Önce fonksiyonun tanım kümesi belirlenir, ardından kritik noktalar (sıfır yapan ve tanımsız yapan değerler) bulunur. Eğitmen, birinci türev testi ve ikinci türev testi yöntemlerini karşılaştırarak, ikinci türev testinin bazı durumlarda çalışmayabileceğini ve bu durumlarda birinci türev testinin işaret değiştirme yöntemiyle bölgesel maksimum ve minimum noktalarının nasıl bulunabileceğini göstermektedir. Video, bir sonraki videoda son noktada ekstra durumların nasıl inceleneceği anlatılacağı bilgisiyle sonlanmaktadır."]},"endTime":496,"title":"Matematik Dersinde Fonksiyonun Kritik Noktalarının İncelenmesi","beginTime":0}],"fullResult":[{"index":0,"title":"Fonksiyonun Tanım Kümesi","list":{"type":"unordered","items":["Verilen fonksiyon f(x) = 5x²/³ - 2x⁵/³'tür.","Fonksiyonun tanım kümesi tüm reel sayılar (R) çünkü küpkök fonksiyonu negatif ve pozitif değerler için tanımlıdır."]},"beginTime":7,"endTime":76,"href":"/video/preview/18208541705028303073?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=7&ask_summarization=1"},{"index":1,"title":"Birinci Türev ve Kritik Noktalar","list":{"type":"unordered","items":["Fonksiyonun birinci türevi f'(x) = (1/3)(10x⁻¹/³ - 10x²/³) şeklindedir.","Birinci türev sıfır yapan değer x = 1'dir ve tanımsız yapan değer x = 0'dır.","Bu iki değer fonksiyonun kritik noktalarını oluşturur."]},"beginTime":76,"endTime":177,"href":"/video/preview/18208541705028303073?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=76&ask_summarization=1"},{"index":2,"title":"İkinci Türev Testi","list":{"type":"unordered","items":["İkinci türev f''(x) = (-10/9)x⁻⁴/³ - 20x⁻¹/³ olarak hesaplanır.","x = 1 noktasında ikinci türev f''(1) = -10/3 \u003c 0 olduğundan, bu nokta bölgesel maksimumdur.","x = 0 noktasında ikinci türev tanımsız olduğundan, ikinci türev testi bu nokta için çalışmadığı için birinci türev testi kullanılmalıdır."]},"beginTime":177,"endTime":379,"href":"/video/preview/18208541705028303073?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=177&ask_summarization=1"},{"index":3,"title":"Birinci Türev Testi","list":{"type":"unordered","items":["Birinci türevin işaret değişimini inceleyerek kritik noktaların doğasını belirleriz.","x = 0 noktasında fonksiyon solunda azalıp sağında arttığından, bu nokta bölgesel minimumdur.","x = 1 noktasında fonksiyon solunda artıp sağında azaldığından, bu nokta bölgesel maksimumdur."]},"beginTime":379,"endTime":496,"href":"/video/preview/18208541705028303073?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=379&ask_summarization=1"}],"linkTemplate":"/video/preview/18208541705028303073?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"25) Matematik 1(Calculus 1) - Türevin Uygulamaları- Ekstremum Soruları 6","related_orig_text":"ExMuslim Answers Hub","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ExMuslim Answers Hub\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=BCQdNQhd0YI\",\"src\":\"serp\",\"rvb\":\"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_E_ADggQkAYAEKyqLARABGniB-_YO_v8BAPj38g4HB_wBBAAAAvj__gD0BgL_BwL_AAH5APf5AQAA_RP68wQAAAD9-PcC-_4AAAz_7PwCAAAA_gMEBfwAAAABBu8LAAEAAAAP_QAD_wAADQEKBQAAAAAHDf8A-f8AAf__-w0AAAAA9vUAEAAAAAAgAC0q59Q7OBNACUhOUAIqhAIQABrwAX_0_wDd9-gBywLoAcgj9wCFCiz__DXRALsF_QDoEtAB7BndAOcWAgAa-B__2BDmADTV0P_5zgIAIr_2_xTu_wDZAvwBFdsEAkfwH_8M7_z--Pkq_wr7CwAY1tED9hTg_gPWBf_x_OH6ANTbBSX7LwHtCxkGDQMXAe7LHAPo9vQC_ty__wslBAML3w_4xv4gARv_4_wENPsB5hnz9xfi__4BzQ3-FkDp_zjhAgAzB_8IvBUI-OLM_goUH_323Qj18xT1IPPU-wr38fX__yDbA_Ef8-H8CdzpAR76Af4O9AoA-Ar6_f8oAQTp4_QOuAT89CAALaQ3ETs4E0AJSGFQAipzEAAaYDbkAEP58_Pi--vyDPA-JpOn6dkC0fv_DNT_6SThDQk7wNcGJQAyCvHhoAAAAD_o9_caAPt_sAMWJRERGaTF2RMEWgYPKLsKAv3KqCn0Be_2_8XhLgDU144oUPGYJ0Ay9CAALbtBFDs4E0AJSG9QAiqvBhAMGqAGAAA4QgAA6MEAAOhBAACOwgAAiMEAACDCAAB4QgAAIEEAAAjCAABAwAAAmEEAAIbCAABQwQAAgL8AAABAAAAQQQAAGEIAAKDAAADAQQAAAMEAAEDCAABowgAAlsIAAOhBAACMwgAAuMEAAATCAAAMwgAAYEEAAEBBAABowgAAgMEAAJDCAAAkQgAAssIAAOjBAABgQQAATEIAACDBAAAwQgAAQEEAABTCAADwQQAAEMIAABRCAACswgAAgMAAAARCAAAQQQAA-EEAABTCAADowQAAmMEAACBCAACoQQAAMEIAAADDAAAAQQAAHEIAAEBCAAA0QgAAjMIAAOjBAABMwgAAgMAAALDCAACwwQAAKMIAAODAAAAUwgAAcEIAACxCAACowQAADEIAAKjBAAA0wgAAYMEAAFDBAACgwQAAwEAAAGDBAACmQgAAAMEAAATCAAAAwQAAiEIAAMBAAAAQQQAAiEEAAAAAAACAPwAAlkIAACzCAACgQAAA0EEAAJDBAACgQQAAUEEAAJBBAABYQgAAjsIAAMBAAAAQQgAAoMEAALDBAAAAQAAAgMEAAIBAAADowQAALEIAAKZCAAAMQgAAMMEAAKDAAACAwQAA1kIAAJhBAAD4wQAAQEEAAMDBAACAPwAAWMIAACBBAADAwQAAiEEAAOhBAAAQwgAAMMEAALjBAAAQQgAAFMIAAODAAAAAwAAAKEIAAODAAAAQQQAAwEAAADBCAACYwQAAxMIAAABCAACIQQAA0EEAANDBAAB4QgAAkEEAAEDAAACIwQAAwMEAAABAAACAwAAALEIAAHRCAAAMwgAAEMEAAODAAAAswgAA4MEAAGDCAADAQAAAiMIAAHhCAABgQQAAAAAAACBBAAA0QgAAUMEAALZCAACWQgAAmMEAAMjBAABQQgAA4EEAADDBAAB8wgAAEEIAAMDAAACAvwAA0EEAAOhCAABgwgAApsIAAEDBAAAgwgAAXEIAAJDBAACwwQAAIMEAADjCAACAwAAAYEEAAPDBAABQwQAAQMEAAODAAABgQgAA4MEAADDBAABQwQAAgMIgADgTQAlIdVABKo8CEAAagAIAAIA7AAAUPgAALL4AAAw-AACIvQAAtj4AAHQ-AAApvwAAiL0AAI4-AABMvgAABL4AAIA7AAAMPgAAur4AAIi9AABkPgAA2L0AAJ4-AABdPwAAfz8AAIi9AAD-PgAADL4AAIC7AABQPQAAkj4AAM4-AACOvgAAmL0AADQ-AAAkvgAAND4AADM_AABcvgAA0r4AADy-AAADvwAAG78AAKK-AAAcvgAAyL0AACU_AAC-vgAA-D0AAIq-AAAEvgAA3r4AAJK-AADyvgAAND4AAOA8AAAkPgAAXD4AAEC8AABcvgAAeT8AABC9AACKvgAAoDwAACQ-AADoPQAAcL0AACS-IAA4E0AJSHxQASqPAhABGoACAADoPQAAZD4AAEy-AABLvwAAqr4AABQ-AADKPgAAoDwAAFC9AAAQPQAAQDwAAIa-AACYvQAAJL4AAFA9AABwvQAARL4AAM4-AACGvgAAjj4AADA9AABcvgAAcL0AANi9AABwvQAAHL4AAFy-AACAOwAA6L0AACS-AADIPQAA4DwAAGS-AAAQvQAA2L0AAPi9AAAQPQAAJD4AAIa-AAAcvgAAmD0AAGQ-AAAMPgAAgDsAAEC8AABAPAAAf78AAJI-AAC6PgAAgLsAAIg9AABwPQAAUL0AAJ4-AABAPAAADD4AAHC9AAAUPgAAuL0AAOA8AAAwPQAAQLwAADQ-AABAvCAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=BCQdNQhd0YI","parent-reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":480,"cratio":1.77916,"dups":["18208541705028303073"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3323381436"},"17928227239594594193":{"videoId":"17928227239594594193","docid":"34-3-11-ZEF928BD877AB8B8A","description":"ergün hoca Udemy de !!! KURS 1- Limit- Süreklilik- Türevin Tanimi VE Uygulamalari 134 Video- 24,5 SAAT- 20 Deneme Sinavi- 110 SORU (Cevaplari İLE Birlikte) https://www.udemy.com/course/limit-su...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3441854/928b39887ed1e8d835a1cbdc110f1a00/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/U4goDgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=videoid:17928227239594594193","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitim içeriğidir. Eğitmen, parçalı fonksiyonların ekstra mumlarını ve türevlerini incelemektedir.","Videoda, eksi bir ile iki arasında tanımlanan bir parçalı fonksiyonun ekstra mumları ve türevleri detaylı olarak ele alınmaktadır. Eğitmen önce fonksiyonun tanım kümesini inceleyerek süreklilik durumunu değerlendirir, ardından türevin nasıl hesaplanacağını gösterir. Kritik noktaları belirleyip, işaret tablosu kullanarak bölgesel maksimum ve minimum noktalarını bulur. Video, parçalı fonksiyonların ekstra mumlarını ve türevlerini anlamak isteyenler için faydalı bir kaynaktır."]},"endTime":490,"title":"Parçalı Fonksiyonların Ekstra Mumları ve Türevleri","beginTime":0}],"fullResult":[{"index":0,"title":"Parçalı Fonksiyonun Tanım Kümesi ve Sürekliliği","list":{"type":"unordered","items":["Parçalı fonksiyonun tanım kümesi -1 ile 2 arasında tanımlanmıştır.","Fonksiyonun sürekliliği incelenerek, x=1 noktasında sürekli olduğu ve -1 ile 2 aralığında uç noktalarda ekstra değerler olacağı belirlenmiştir."]},"beginTime":7,"endTime":79,"href":"/video/preview/17928227239594594193?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=7&ask_summarization=1"},{"index":1,"title":"Fonksiyonun Türevi ve Kritik Noktalar","list":{"type":"unordered","items":["Fonksiyonun türevi x\u003c0 için 2, 0-1 için 0, 1\u003cx\u003c2 için 2 olarak hesaplanmıştır.","x=0 ve x=1 noktalarında sağdan ve soldan türevler mevcut ancak eşit olmadığı için bu noktalarda fonksiyon türevlenmemektedir.","Fonksiyonun tanımsız yapan kritik noktalar x=0 ve x=1'dir."]},"beginTime":79,"endTime":335,"href":"/video/preview/17928227239594594193?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=79&ask_summarization=1"},{"index":2,"title":"Fonksiyonun Bölgesel Maksimum ve Minimum Değerleri","list":{"type":"unordered","items":["Bir testi uygulanarak, x=0 noktasında fonksiyonun solunda azalmış, sağında artmış olduğu ve bölgesel minimum olduğu belirlenmiştir.","x=1 noktasında fonksiyonun solunda artmış, sağında azalmış olduğu ve bölgesel maksimum olduğu tespit edilmiştir.","Parçalı fonksiyonlarda bölgesel maksimum ve minimum değerleri, türevin işaret değişim noktalarına bakarak bulunabilir."]},"beginTime":335,"endTime":481,"href":"/video/preview/17928227239594594193?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=335&ask_summarization=1"}],"linkTemplate":"/video/preview/17928227239594594193?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"27) Matematik 1(Calculus 1) - Türevin Uygulamaları- Ekstremum Soruları 8","related_orig_text":"ExMuslim Answers Hub","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ExMuslim Answers Hub\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=XzLmHFhjgtI\",\"src\":\"serp\",\"rvb\":\"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_E-oDggQkAYAEKyqLARABGniBAu4HBgH_APj38g4HB_wBBAAAAvj__gD0BgL_CAL_AAH5APf5AQAA_RT68wQAAAD99_cC-_4AAA3_7PwCAAAA_gQEBfwAAAABBu8M_wEAAPkL-Qb3AQABDQEKBQAAAAAEBf____8AAP__-w0AAAAA9vUAEAAAAAAgAC2Ps9M7OBNACUhOUAIqhAIQABrwAX_uAADsAuEB2wTOALoV7ACTCSf__S7XAMf8HgDPFNoA7xbhAOD_Dv_4CiMA1gwJABHcvALx4A__N-rq_xfiAAHkEQQBEt8EATYRKf_i6_sA6Pog_P_kHgEW2tcC9QPSAQXs-wLeBO7_Ce2_CC_wHQLvCRYFEQQGBuXgEv3ZCfcC_uHH_yEq-wAA6vr-zf4cAfzm6QEAA_r42hH0_ffhAQb-4hX9BynZ_ifxBAYd_wsE2AP9-_3k7vv7HRH57Bb29RH2HfTh3QAACOvz-xe4-vsI_fgMF-vu_C8HBAEC9v775On3CeUSCPXs5_YMzvnvAiAALRggJDs4E0AJSGFQAirPBxAAGsAHBwfbvnkDjDzKZzE6moKbvam1F7wDBV69OWTjvbLSCzuJAy29UbuvPZ7OOrwIoji8WcBUvgSMjDkqz9c8y4AzPubRiL2YYjM8hzQqvp5pqD22cmW8y4NUvppVqbwRmpM8O56APSjABr2RjOY6wX6-PfL3wb0XrW28YYJgu28WCj0Yum28GBwqvb5Oir0GDgu8Pz9nPXthl7zSCw68-dCPPYVEir2uoMS8DPKpPdkBfDxf6qm7XR5GvBAGnjxhmS29L012PcaViT3C60Q8vsXevB6107yMx7u8NMPBvdpXPj3BE8A7z2tnvRh8NT06DnK82MIHPUTHmb3yO7K80CpDvphzn7wPqIg8JxcTPk_Vcz0VqbA83O-Fvd0J9j3Ineu6uypQPfqNQLy_774634iuPQSJEjxOGCC8meJgPDXpOz05nxM8kCQQvBDfoz2mYgM9IEuqPagW9rxcdoi8vlvqPJbOlz2PNo65u3xrvYPDZjwge5w7p3rNvKTB7TzkAiM84eEHPdlF7LyRcRY8RVylPHO49r3kBDc8ldw8vTzxwb1D6ea7HW3BPTlpED0uBX-89gWpPcG80bxvfPG7uY2mPZuv0r2iSGU6Vms8vFKvsL1ixxg7FqynvJe1gzyo2CA55sKivSnhoz20Kvi77O-mPVpNsj1Pc6a53uBQvWAh873aCH669StdPXMRPz2wlem6sdWKPI2hNbtGmUu7iCSEPaUZtr3cmS67jUEKPEB1ILxEaCk772WsvFhtI70sTxw7NJe1Pbqp3LzmWHi4APLUvIaBHT3tJ524qSKmvHViRbxD0c24wdIQvP2TLjy9q4s5qz2RvRpSFb4wUQo637syPbuv7zwrFOO3ypJvvPjtmDqVgcg37_XiO4gqkb1tgww5Hk2KPXW0Ijtj0F65nSaWO0vij7tEuSq4xTZOvFCopzs6Dtq475pGvbSEJj1cEtI49CO0POxcJ70y6Eo3vufGPQAdpr1qQ4Y5CvITveOdvT2VU9W4joopPW0fsjzmZFk3LxWLveyh_T3tQw447m5vPRRBHL0JFbG232hsPL1ipz2wGok3WjSjvXxaSj1yIGw44TSzPNxheL0496q37BiyPHn8KLymXey3qC9VPUQK0DrWkw42zoKqPcQK170s9ia5ExIkPY74H70blbS0epcBvasDZb21Yua3vEEvvSWiCT3Nv2Y4DRJHPHR89L1WWFm4Iv_sPTUpBT7zflu4vxYKPaFvwT3_L5y3YoJavVsgZj1kNbs3GjOZvV-E3zxjGDG3IAA4E0AJSG1QASpzEAAaYCzsAELt7OfUBPvxCfs6LpKw7ur40fv_Dtf_7CXjCP9Cu9UJKQA--vTmoAAAADbc-fEXAAJ_uxAUHRMOFZXF4RUCY_YmOMQSDf3LuCnvAe_2AL_nPQDbzo0OR-eVFz4w9yAALZMZFDs4E0AJSG9QAiqvBhAMGqAGAAAsQgAA6MEAANhBAACawgAAcMEAABzCAACGQgAAMEEAABjCAADAwAAAmEEAAIrCAACwwQAAwMAAAIC_AAAAQQAADEIAAODAAACYQQAA4MAAADDCAABowgAAlMIAAOBBAACAwgAAuMEAAAjCAAAUwgAAiEEAADBBAABkwgAAoMEAAJjCAAAsQgAAsMIAAATCAABQQQAATEIAAODAAAA8QgAAcEEAAOjBAAAEQgAA-MEAACRCAACqwgAAAAAAAOBBAACAQQAA4EEAABzCAADAwQAAqMEAABhCAADAQQAAIEIAAADDAABQQQAAGEIAAEhCAABAQgAAjMIAANDBAABQwgAAoMAAAKzCAAC4wQAAIMIAADDBAAAYwgAAcEIAADBCAADAwQAAFEIAAJjBAAA8wgAAgMEAAEDBAACAwQAAIEEAAHDBAACiQgAAoMAAABTCAADgwAAAiEIAADBBAABwQQAAqEEAAIC_AAAAQAAAmkIAACTCAAAAQAAAyEEAALjBAADAQQAAiEEAALBBAABYQgAAjsIAABBBAAD4QQAAoMEAALDBAABAQAAAuMEAACBBAADQwQAAHEIAAKRCAAAIQgAAMMEAAIDAAABwwQAA0kIAAIhBAAAEwgAAgEEAAMjBAABAQAAAYMIAACBBAADAwQAAkEEAAOBBAAAYwgAAcMEAAODBAAAAQgAAEMIAAMDAAACAQAAAHEIAAKDAAADAQAAA4EAAADBCAACwwQAAvsIAAPBBAACIQQAA0EEAALDBAAB0QgAAiEEAAADAAACowQAAmMEAAAAAAABAwAAAGEIAAHxCAAAUwgAAIMEAAADBAAAkwgAA-MEAAGzCAAAgQQAAhMIAAIRCAACAQQAAgMAAABBBAAA0QgAAMMEAALpCAACMQgAAkMEAALjBAABcQgAA0EEAACDBAAB0wgAADEIAAODAAACAwAAA4EEAAOBCAABcwgAAnMIAAFDBAAAcwgAAaEIAAKjBAADYwQAAwMAAADTCAAAAwAAAMEEAAADCAABQwQAA4MAAAMDAAABQQgAA4MEAAEDBAACAwQAAiMIgADgTQAlIdVABKo8CEAAagAIAAKC8AABAvAAAoDwAAOA8AACovQAA_j4AAAw-AABjvwAAir4AAJY-AAAkvgAAFL4AAII-AADgvAAAJb8AAHC9AAAEPgAAyL0AAL4-AABHPwAAfz8AAFC9AAC6PgAAbL4AAOg9AADIPQAAxj4AADA9AAB8vgAABD4AAFw-AAAsvgAABD4AAAM_AAA0vgAAmr4AAFC9AADSvgAAkr4AAJa-AAAMPgAA6D0AAD8_AACavgAAgDsAAAy-AAAwvQAA2r4AAHy-AAAdvwAALD4AAAQ-AADoPQAAuD0AAI4-AABMvgAAQT8AAOi9AAAsvgAAgDsAAKC8AAA0PgAAoLwAAJq-IAA4E0AJSHxQASqPAhABGoACAACYPQAAgj4AAES-AABLvwAAsr4AAIg9AAC2PgAAgDsAAFC9AACoPQAAED0AAIK-AADgvAAAHL4AAEA8AACIvQAAdL4AANY-AABcvgAAbD4AANg9AABkvgAAUL0AAPi9AACIvQAA-L0AAFS-AABAPAAA2L0AAPi9AAC4PQAAQDwAAGS-AAAQvQAAHL4AAAy-AADgPAAAFD4AAIa-AAAsvgAAiD0AAFQ-AAAkPgAAgDsAABA9AACAOwAAf78AAJ4-AACyPgAA4LwAAKg9AABQPQAAoLwAAJo-AACAuwAABD4AAIi9AAAUPgAAyL0AAIA7AAAwPQAAcL0AABQ-AAAwvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=XzLmHFhjgtI","parent-reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":480,"cratio":1.77916,"dups":["17928227239594594193"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3677850634"},"4004848744048118151":{"videoId":"4004848744048118151","docid":"34-7-9-Z0846CEAE5F0A0901","description":"ergün hoca Udemy de !!! KURS 1- Limit- Süreklilik- Türevin Tanimi VE Uygulamalari 134 Video- 24,5 SAAT- 20 Deneme Sinavi- 110 SORU (Cevaplari İLE Birlikte) https://www.udemy.com/course/limit-su...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/215245/112bb83ecea6d953fe0fcf9194c42662/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/5nS9RgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=videoid:4004848744048118151","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitim içeriğidir. Eğitmen, Ergin Hoca olarak hitap edilen bir matematik öğretmeninin dönüm noktası bulma konusunu anlattığı bir ders anlatımıdır.","Videoda, polinom ve köklü fonksiyonların dönüm noktalarının nasıl bulunacağı adım adım gösterilmektedir. Eğitmen önce dördüncü dereceden bir polinom fonksiyonunun dönüm noktasını bulmak için ikinci türevi kullanarak çözüm yapar, ardından karekök içeren bir fonksiyonun dönüm noktasını bulma sürecini detaylı şekilde anlatır. Özellikle tanım kümesinin dönüm noktası bulma sürecindeki önemine vurgu yaparak, sıfırın solunda tanımlı olmayan noktaların dönüm noktası olamayacağını açıklar. Video, logaritmik ve üstel fonksiyonlarda dönüm noktası bulma konusunun gelecek videolarda ele alınacağını belirterek sona erer."]},"endTime":603,"title":"Matematik Dersinde Dönüm Noktası Bulma","beginTime":0}],"fullResult":[{"index":0,"title":"Dördüncü Dereceden Polinomun Dönmü Noktası","list":{"type":"unordered","items":["Dördüncü dereceden bir polinom fonksiyonunun dönüm noktası bulunuyor.","Fonksiyonun tanım kümesi sonsuz sonsuz olarak belirleniyor çünkü polinom şeklinde verilmiş.","İkinci türev alınarak 12x² elde ediliyor ve bu türev sıfır yapan tek kritik nokta 0'dır."]},"beginTime":7,"endTime":63,"href":"/video/preview/4004848744048118151?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=7&ask_summarization=1"},{"index":1,"title":"İkinci Türevin İşaret Değişimi","list":{"type":"unordered","items":["Sıfırın solunda eğriliğin aşağı doğru, sağında yukarı doğru olduğu görülüyor.","Çift kat kök olduğu için ikinci türev işaret değiştirmiyor.","Fonksiyonun bir dönüm noktası yoktur çünkü ikinci türev işaret değiştirmemiştir."]},"beginTime":63,"endTime":174,"href":"/video/preview/4004848744048118151?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=63&ask_summarization=1"},{"index":2,"title":"Köklü Fonksiyonun Dönmü Noktası","list":{"type":"unordered","items":["Köklü bir fonksiyonun dönüm noktası bulunuyor ve tanım kümesi sıfırdan sonsuza kadar.","İkinci türev alınarak 3/4x^(3/2) - 3/2 elde ediliyor.","İkinci türevin sıfır yapan kritik nokta 1'dir."]},"beginTime":174,"endTime":351,"href":"/video/preview/4004848744048118151?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=174&ask_summarization=1"},{"index":3,"title":"Dönmü Noktası Analizi","list":{"type":"unordered","items":["Fonksiyonun tanım kümesi sıfırdan itibaren başladığı için 0 şeklinde bir kritik nokta dönüm noktası olamaz.","1 noktasında ikinci türev işaret değiştirdiği için bu nokta bir dönüm noktasıdır.","Fonksiyonun konkavlık durumu incelenerek 0,1 aralığında ikinci türev küçüktür ve fonksiyon aşağı doğru, 1,∞ aralığında ikinci türev büyüktür ve fonksiyon yukarı doğru konkavdır."]},"beginTime":351,"endTime":594,"href":"/video/preview/4004848744048118151?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=351&ask_summarization=1"}],"linkTemplate":"/video/preview/4004848744048118151?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"35) Matematik 1(Calculus 1) - Türevin Uygulamaları- Ekstremum Soruları 16","related_orig_text":"ExMuslim Answers Hub","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ExMuslim Answers Hub\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=IEw9cjENq-o\",\"src\":\"serp\",\"rvb\":\"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_AQAD9fsJBwn8AgAD__j4_v4A-P3-AwUC_wAB8AT_-gAAAAQSAf7_AAAA_fj3Avv-AAAM_-z8AgAAAP4DBAX8AAAAAQbvCwABAAD9EvEAA_8AAA0BCgUAAAAA_AgBAfz_AAD___sNAAAAAPb1ABAAAAAAIAAtKufUOzgTQAlITlACKoQCEAAa8AF_6A4A6ubkAtgFygC1FuoAiQoq__0y0wDM9_8A1g68AeII8wDqCw0ADAcW_8sU9AAy1tL_-tACACTX8P8k1O8BzQQFABnp9gE7Eyz_6vT7_-sKJgAY9w8AF9fTAw7_4wD04QkA8OzV_v_mywAk-y0B-xkl_xf1IQLxxwf_6BLyBff4x_4YHvoE8vAH98j-HwEF8e3_FRII-tYT8_0A9_oI6uQJ9RU-6v8q8AUHJAMA_s0l_gL84ez6DTkB_9j29PXz9yUC2PT6APoFCQAb3_4BCP33DQbw4AMd-gH-E-kJ-eDt-vfpHQEA9u7rCtry9fkgAC3RQhc7OBNACUhhUAIqzwcQABrAB6eVwr6-6609_qMlvI0N_b1VbG27_KF-vZrPOb5S8DQ94gZXvZ_Woz0h8PY8RfacvLPwdb7H0Ja8RWRAOZjdIz6BSZC9Q_T1vHE9Wr7nFr89hUyovPWhg748d_E7LsWXO7GkvD3w9O-8GI1GPMF-vj3y98G9F61tvGGCYLtvFgo9GLptvOvmfb2JrpC9_h4jPNuZUz2SC5m9vOvsu52FeD28PpC7igU-vMTBdD38HLy6DrGLu8qUBT2NogI9u7ObvP5ukD3H7HI7oXMNPXgANb1Xp_M6xYLvuzfd0r1rpIC8k2XSO2NebDw7Dg09LU7rvGkz8zweb_K91yXTOmO0Hr42Fnu7f2BYPCcXEz5P1XM9FamwPMZhqr2rW5097tSaO8UiAT0zueK800a7u9-Irj0EiRI8ThggvMCWhz1JO5Q9D7FmvC0OH7xVVi49EEIbPVBTmz22ngS8hq5EvKjsqjyhXhU9_R3AuwwYKb1qxr08FqS6O6i4njtCGVQ9YZ9nuvhAIT1PJgk8rGG1PMU1Qz34UQ2-CW8su8eDbb1XEI69nbdWvCe2Zz2Iztu7SoiovFmHwz0Kz1W99IJTO9bJGT11e0S93svcu9-uETxMqeu9vd3UO3CkQr2quBI8yC1BPHgj2LzNyJU9Mh0du_7Zuj0rEgM-y7FbuXJT_zu_gtS9OouDOvyFIz1sV408D2IIO5Ol-zzo-Gg9HucRu1T6nj2a6Di9eFpPOJWe6TwioRK9R-QxOt1rF71KqgC9Hkw9udU3dT0rFo-97rDLOWYJvDy9cMY7FO-dOlNvl7zydw89-AgkOUMIgjsU8Ma8nERSOKs9kb0aUhW-MFEKOp-J2Tswp189lcngOBxF8TzyeYW8dh8_uQL0i71FNZC9O4YxOIH94bzAKBy8NWqxN21Vkjy2Atg7Bng4N4trfDzJY_w8J0YtuZ-7M70lO5s80ngjOR2ItLsMDmU9EmcHOEHxAz1xT8G91zh7OXn5qbunJcY9xK7_uINokrzkgx49p2upN7iYGr1V4hU93zjBuPFZKD13loq91TXrOPzSkTzDjnA9ctg4OGVTzr3C6Kg8_jLoN46ItTrZynC9_wlnNxzvDj2d-4a8mAFIN2pcDj0Wd3I8U7nCt-Nu8D0OTO69yWWXuYFBDrz8-Ru94yUduMMm_bezQ4y9TYoONwACdr3qEsQ8Pcjztw0SRzx0fPS9VlhZuMr0cD0i4Ss-8cuKOFmWeTzFDGM9G7iOuJgPjb3dH4Q9jMPRN5TMoL0sBjQ9ui2CNyAAOBNACUhtUAEqcxAAGmAs5gBE9vby4Pzz8xD3QRyeqe3fCND3_wHP_-4j2hQJO7TVBSoAL_X5258AAABB5f_6GAADf6oLHiUMGhOdw98YBV8KFjPHC__6w7E38QXpBf_D6DcA3eeIIkr4kBswMPcgAC0f3xM7OBNACUhvUAIqrwYQDBqgBgAAKEIAANDBAADIQQAAlsIAAHDBAAAcwgAAgkIAAEBBAAAQwgAAgMAAAKBBAACKwgAAqMEAAODAAAAAQAAA4EAAAAxCAADgwAAAqEEAAADBAAAwwgAAcMIAAJjCAADwQQAAgMIAAODBAAAQwgAAFMIAAHBBAABAQQAAZMIAAKjBAACWwgAAMEIAALLCAAAMwgAAYEEAAEBCAADAwAAAQEIAAJBBAAD4wQAABEIAAATCAAAkQgAAsMIAAIC_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-AAAwPQAAUL0AAPY-AACWPgAANb8AAJ6-AAAsPgAAsr4AAFA9AAAwvQAAFL4AAN6-AABsvgAAZD4AAOi9AACyPgAAZT8AAH8_AAAEvgAApj4AAAy-AACYPQAAgDsAAAw-AADKPgAAnr4AAHA9AAA8PgAAiL0AAAw-AAAFPwAAjr4AAPa-AAC4vQAA2r4AANq-AABUvgAA4DwAAEC8AAD2PgAArr4AAFC9AAC6vgAAFL4AAMq-AACmvgAAjr4AAGQ-AAC4vQAAQDwAAIo-AAAQPQAADL4AAFk_AAAMvgAAir4AAHw-AAC4PQAA-D0AAEA8AAB0viAAOBNACUh8UAEqjwIQARqAAgAAoLwAAII-AAA0vgAAU78AALK-AABQPQAA0j4AAIA7AACAuwAAgLsAAJg9AACevgAAUL0AABS-AABwPQAAUL0AACy-AADaPgAAZL4AAEQ-AACoPQAALL4AADC9AADYvQAAUL0AAMi9AABkvgAAED0AAAS-AAAcvgAAyD0AAIg9AACOvgAAoLwAAJi9AAAkvgAAyD0AABQ-AACSvgAAVL4AAJg9AAA0PgAAmD0AAFA9AAAQPQAAQLwAAH-_AACSPgAAnj4AAKC8AAAEPgAAuD0AAKi9AACmPgAAoDwAABw-AABwvQAAVD4AAKC8AACgvAAA6D0AALi9AAAUPgAAML0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=IEw9cjENq-o","parent-reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":480,"cratio":1.77916,"dups":["4004848744048118151"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1938385626"},"3469535475536181902":{"videoId":"3469535475536181902","docid":"34-8-14-Z9A9BCC5B68252D36","description":"ergün hoca Udemy de !!! KURS 1- Limit- Süreklilik- Türevin Tanimi VE Uygulamalari 134 Video- 24,5 SAAT- 20 Deneme Sinavi- 110 SORU (Cevaplari İLE Birlikte) https://www.udemy.com/course/limit-su...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3415365/5c483f6d93b6dc9a7e0b8bc681a56adc/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/tO9uKAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=videoid:3469535475536181902","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin trigonometrik fonksiyonların türevini anlattığı bir eğitim içeriğidir. Öğretmen, Ergin Hoca olarak da bahsedilen bir kişinin önceki videolarından da bahsetmektedir.","Video, sinüs fonksiyonlarının türevini tanımından hesaplama yöntemlerini göstermektedir. Öğretmen önce sinüs (2x+1) fonksiyonunun türevini, ardından sinüs (1+x) fonksiyonunun türevini limit tanımı kullanarak hesaplamaktadır. Trigonometrik fonksiyonların toplam-fark formüllerinin kullanımı, belirsizliklerin nasıl ortadan kaldırılacağı ve sabitlerin limitin dışına alınması gibi konular detaylı olarak anlatılmaktadır. Video, tanjant fonksiyonlarının türevine geçiş yaparak sona ermektedir."]},"endTime":745,"title":"Trigonometrik Fonksiyonların Türevi Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Trigonometrik Fonksiyonların Türevi","list":{"type":"unordered","items":["Sinüs 2x+1 fonksiyonunun türevi, türev tanımından hesaplanacak ve x→0'a giderken (f(x+h) - f(x))/h şeklinde ifade edilecek.","Trigonometrik fonksiyonların türevini hesaplamak için toplam fark formülleri kullanılabilir.","Sinüs fonksiyonunun türevi, sinüs(a+b) formülünden yararlanılarak hesaplanabilir."]},"beginTime":7,"endTime":135,"href":"/video/preview/3469535475536181902?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=7&ask_summarization=1"},{"index":1,"title":"Trigonometrik Fonksiyonların Türevi Örneği","list":{"type":"unordered","items":["Sinüs(2x+2+1) ifadesi, sinüs(2x+2) + sinüs(1) şeklinde yazılabilir ve toplam fark formülü uygulanabilir.","Sinüs(a+b) formülü kullanılarak sinüs(2x+2) + sinüs(1) = sinüs(2x+1)cos(1) + cos(2x+1)sin(1) şeklinde açılır.","Limit hesaplanırken, sinüs(2h)/h limiti 0'a giderken 0'a eşit olduğu kuralı kullanılarak türev 2cos(2x+1) olarak bulunur."]},"beginTime":135,"endTime":377,"href":"/video/preview/3469535475536181902?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=135&ask_summarization=1"},{"index":2,"title":"Karekök ve Kosinüs Fonksiyonunun Türevi","list":{"type":"unordered","items":["Karekök(cos(π+3h)) fonksiyonunun türevi, türev tanımından hesaplanacak ve x→0'a giderken (f(x+h) - f(x))/h şeklinde ifade edilecek.","Kosinüs fonksiyonunun türevi, kosinüs(a+b) formülünden yararlanılarak hesaplanabilir.","Limit hesaplanırken, sinüs(3h)/h limiti 0'a giderken 0'a eşit olduğu kuralı kullanılarak türev 1/2 olarak bulunur."]},"beginTime":377,"endTime":710,"href":"/video/preview/3469535475536181902?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=377&ask_summarization=1"}],"linkTemplate":"/video/preview/3469535475536181902?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"4) Türevin tanımını kullanarak çözülen sorular 3- Türev- Calculus 1","related_orig_text":"ExMuslim Answers Hub","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ExMuslim Answers Hub\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=XtRjUUoibYw\",\"src\":\"serp\",\"rvb\":\"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__7-AwDz9vUCBQP_AQP5DQH5_v4A_fgBAv8G_QD7-Qr6AQAAAAEYDP4BAAAA9woFAfn_AAAM_-38AgAAAPcB_wP6AAAACPn8Cv8BAAD-BAEQA_8AAAAA-Av_AAAAAQX9Bvn_AAH-CvkLAAAAAALq9gMBAAAAIAAtUvfaOzgTQAlITlACKoQCEAAa8AF2Bvv-3PbnAdUFxgDSKeEBgQot__w20AC5BfwA0w-3AQAE7QDb_xD_PyMeAMcW8wA2087-BMUW_zC3DQIp9vT_yQQFABzd2gA7EBgC6fP7_8kjHf4V5A__89mwACAawgAQ4fr81OLKAQvptQkM8yP__x0XBRz5DP7-zfn73-8JBQUczAAbDwcE5tYV_NUcIgICD_z6D_8W_PMV9wD96QsGAAAA-w8o7gUR3OsNIA3zAtAX-Pf0APL9Hf4K_NX28_Xy9igC5uf-At30DPAu6QcGDOfzBhvn6_sv9Ar6Gd76-u7z-vz3GPkADfz0Aef96gQgAC1QIw07OBNACUhhUAIqzwcQABrAB_Et5L4zxTc99UccvKWdj71E5M-8hUu9vEvTtr2Wyys9rO4HvczSTj3o6Cc8k-V_vLPwdb7H0Ja8RWRAOcuAMz7m0Yi9mGIzPHE9Wr7nFr89hUyovJq1RL5BSxK94q4-PbGkvD3w9O-8GI1GPO8RGz3BxL-9CJABvUtPAj1Dh8g7f3YTvF2psr3BnCq9PR5EvG4wuTzZBUi9aqHHO-2viD2D7hy9Ltpru_3yvj1-cB28t6VEvNYxM72NUvg8ND_IvA_8jj38jCs93yD1PKyyKj2X_BQ9rm4rvG6G-7280s87slyAuzbsMj0ADQU9xNI7vdjCBz1Ex5m98juyvAx3Dr5N2hY7lmEXPfsFOz7aN9c9RHXKO8Zhqr2rW5097tSaO9CYmT3KAiC8pTpTO69nfj3BQhw8QnkdPJbFDj2BmZo9_8dPuyTRDbyZaCs9WJBmPFBTmz22ngS8hq5EvJZZqTyiAYY8wD2yO3yddL02wgw9on3XOcwZiz3d9Wg9SzmEPDt_JLzPOtu6_ECLO0VcpTxzuPa95AQ3PFxNqLy5clG9b1azvKHGgz1chsm8x9slvIvLnD2kF3q9X3hKvC8yojsUFPW8GPaLO_MnYLw_xty9KcrGu20Dcr0HZMo8yQKJOy19o73ZhyY9XqmAu_7Zuj0rEgM-y7FbuWwB57swR--9P5qguhqcjT3kxw49npHvu2OFlTt_log9ML-ROVJfGz1ZYYS8bXlYOUVDCz38ybO8h7NwuzUeMb14hj-94DucOu50nD2s4s29Kv-9OaUFmjtZNWM80TriOcFdrLzgJNW6mdPkOD8_BLxxKBG8qgoyuqs9kb0aUhW-MFEKOrDkSj01az89ek0JuX0FST0Lf6O7qwijuB9iqL0-kH47ZZ_Kufy3_TpLL3-7aglZt50mljtL4o-7RLkquMbcFT3HG489M2gQt5-7M70lO5s80ngjObuPq7q1Bbo8Y_gFOUHxAz1xT8G91zh7OVxmQr2ZDOc9kJgCuTViIb05pl08hNDCt1MztbwOIHI9JJgiud5Z-zzY8Z-9GA2XOHey5Tvf-4s9WufUt-PnGr2_lvw8OTL5OA1mDTqdkIy8PTO2uAkRFT0sp3O9Gwk4OJZIWDyuSMw8H0dQOONu8D0OTO69yWWXuVxJAb3K3tK9FyIEuYa9Gj1Qpha9dapatwACdr3qEsQ8Pcjzt9mE6rwiV7W90kIwuCL_7D01KQU-835buD_6S7yqGSg9HvjDuK3u4rwomuc9LZiIOC43-L0zccY8-NJ-tyAAOBNACUhtUAEqcxAAGmA57ABMBgnn5eLX9h3gEw29wdj-A8b8_x3S_8Ur9S8VQbjLEA7_RAP4D58AAAAg3efVFAAGf8rjHCcIEgyg6wIAE1wMJye7-gUC6rEpGQbgDvL7C0gAzO-SFze8oS4nXcogAC0L0hY7OBNACUhvUAIqrwYQDBqgBgAAMEIAAOjBAADQQQAAlsIAAIDBAAA4wgAAWEIAAGBBAADgwQAAAEAAADBBAAB8wgAAEMEAAMBAAACAQAAAgL8AABhCAADgQAAAkEEAAGDBAABMwgAAaMIAAJLCAADYQQAAiMIAAPDBAAAYwgAAMMIAAIBBAACoQQAAUMIAAGDBAACUwgAAOEIAAKjCAADowQAAUEEAAGhCAABAwAAASEIAAIBBAAAYwgAA-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-AACCPgAARL4AAII-AAAEPgAAUL0AAJK-AADgvAAAqD0AABA9AADgPAAA1j4AAH8_AAC4vQAAMD0AAKC8AAAsPgAAPL4AAJg9AAAUPgAAUL0AAMg9AADIPQAAVL4AAKi9AACCPgAAcL0AAMa-AAAQvQAAyr4AAAO_AAA8vgAAZD4AAHQ-AABkPgAApr4AAEA8AACSvgAAQLwAAKC8AAC4PQAAqr4AAIg9AAAwPQAA6D0AALg9AABQPQAAmL0AABU_AAD4vQAAHL4AAHw-AACYPQAA4DwAADC9AAAMviAAOBNACUh8UAEqjwIQARqAAgAAQLwAAKY-AAD4vQAAWb8AAI6-AABQPQAAHD4AADC9AADovQAAhj4AAOg9AABsvgAAqL0AAES-AACYPQAA-L0AAHS-AAALPwAAqL0AAFw-AACAOwAAqL0AAEA8AACovQAADL4AAPi9AAD4vQAAUD0AABC9AAAcvgAAUD0AAOA8AAAMvgAABL4AABy-AADYvQAAiD0AADQ-AAB8vgAALL4AAPi9AAA0PgAAiL0AAKA8AAAwPQAAiD0AAH-_AAA0PgAApj4AAMg9AABwPQAAmL0AAHA9AACKPgAAoDwAAIg9AABAPAAARD4AADC9AACovQAA-D0AAKg9AAB0PgAAUL0gADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=XtRjUUoibYw","parent-reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["3469535475536181902"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"313190413"},"11294882030656541510":{"videoId":"11294882030656541510","docid":"34-3-8-ZE472A17955E6123B","description":"ergün hoca Udemy de !!! KURS 1- Limit- Süreklilik- Türevin Tanimi VE Uygulamalari 134 Video- 24,5 SAAT- 20 Deneme Sinavi- 110 SORU (Cevaplari İLE Birlikte) https://www.udemy.com/course/limit-su...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/774126/79f2e8029341f899ffb21a9bfe408c0e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ocasMwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=videoid:11294882030656541510","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin fonksiyonların türevi ve ekstremum noktalarını anlattığı bir eğitim içeriğidir. Öğretmen, önceki videoda polinom ve kesirli ifadelerle ilgili sorular çözdüğünü belirtiyor.","Videoda, üssel ifadeler içeren fonksiyonların türevi ve ekstremum noktalarının nasıl bulunacağı adım adım gösteriliyor. Öğretmen önce bir üssel fonksiyonun türevini hesaplayıp kritik noktaları buluyor, ardından logaritmik fonksiyon içeren bir soruyu çözüyor. Video, ikinci türev testi hakkında bilgi vererek sona eriyor ve bir sonraki videoda bu testin detaylı olarak anlatılacağını belirtiyor."]},"endTime":601,"title":"Matematik Dersinde Fonksiyonların Türevi ve Ekstremum Noktaları","beginTime":0}],"fullResult":[{"index":0,"title":"Üssel Fonksiyonun Türevi ve Artan-Azalanlık","list":{"type":"unordered","items":["Fonksiyon x küp çarpı x kare şeklinde tanımlanmış ve tanım kümesi eksi sonsuza kadar uzanıyor.","Fonksiyonun türevi alınarak e üzeri eksi x kare çarpı x kare parantezinde üç eksi iki x kare şeklinde sadeleştiriliyor.","Türevin sıfır yapan noktaları bulunarak (x=0, x=-√3/2, x=√3/2) fonksiyonun artan-azalanlık analizi yapılıyor."]},"beginTime":8,"endTime":199,"href":"/video/preview/11294882030656541510?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=8&ask_summarization=1"},{"index":1,"title":"Fonksiyonun Artan-Azalanlık Analizi","list":{"type":"unordered","items":["Fonksiyonun işaret tablosu incelenerek x=-√3/2'nin solunda ve sağında azalmış, 0'ın solunda ve sağında artmış olduğu görülüyor.","x=-√3/2'de bölgesel minimum, x=0'da bölgesel maksimum, x=√3/2'de bölgesel minimum olduğu belirleniyor.","Bu tür sorular sınavda çıkabilecek tarzda olduğu vurgulanıyor."]},"beginTime":199,"endTime":269,"href":"/video/preview/11294882030656541510?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=199&ask_summarization=1"},{"index":2,"title":"Logaritmik Fonksiyonun Türevi ve Artan-Azalanlık","list":{"type":"unordered","items":["Fonksiyon logaritmik fonksiyonların özelliklerini kullanarak x²-2/1+x² şeklinde düzenleniyor.","Fonksiyonun türevi alınarak 2x³-2/1+x² şeklinde sadeleştiriliyor.","Türevin sıfır yapan noktaları bulunarak (x=-1, x=0, x=1) fonksiyonun artan-azalanlık analizi yapılıyor."]},"beginTime":269,"endTime":455,"href":"/video/preview/11294882030656541510?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=269&ask_summarization=1"},{"index":3,"title":"İkinci Türev Testi","list":{"type":"unordered","items":["İkinci türev testi, tek değişkenli fonksiyonların eğriliğinin yönünü tayin eden konkalık ve konvekslik kavramından yararlanılarak oluşturuluyor.","İkinci türev testi ile kritik noktaların sınıflandırılması yapılabilir.","Bu soruların sınavda çıkabilecek tarzda olduğu ve konuların mantığını anlamak için temel alınması gerektiği belirtiliyor."]},"beginTime":455,"endTime":579,"href":"/video/preview/11294882030656541510?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=455&ask_summarization=1"}],"linkTemplate":"/video/preview/11294882030656541510?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"23) Matematik 1(Calculus 1) - Türevin Uygulamaları- Ekstremum Soruları 4","related_orig_text":"ExMuslim Answers Hub","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ExMuslim Answers Hub\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=RV9Ya71qYeA\",\"src\":\"serp\",\"rvb\":\"Eq8DChM0MjAxNzAzMjgwMzI5MzI2NjI5ChM0NjU0ODEwODg5MTYyOTIxMDcyChM0NTI2MTYxMzUzNTI1NTY3MDUwChQxMTY2OTUyNzEwNTg5MjEzMzYzNwoUMTgyMDg1NDE3MDUwMjgzMDMwNzMKFDE3OTI4MjI3MjM5NTk0NTk0MTkzChM0MDA0ODQ4NzQ0MDQ4MTE4MTUxChMzNDY5NTM1NDc1NTM2MTgxOTAyChQxMTI5NDg4MjAzMDY1NjU0MTUxMAoUMTU4NzM0NDcwMjAzNjcxMDIwNjYKEzY0MDU5OTQyMTA4NTMzMjQwOTcKFDE2NTg3NTg4MzYwODA0NDI1NDQ1ChQxMjk1MTIyMjkwNDc1NjYzNjc5NAoTMzQ1NjAzMDc1MTU5ODQ1OTExOAoUMTgyNzkyOTE0Mjk4NTk3NzkwNjkKFDExNDg1MzQzMTAzMjMyNjkzMDk1ChQxMDAwNzQxNzcwNTkyODA3MDYxOQoTNjcxNDAxODU0ODU2NDkxOTkwMQoUMTQ2NzE4NDI4NDA5NDA0NjQ1OTkKEzg4NzM5NjY3OTYzMzc5NzA5MTQaFgoUMTEyOTQ4ODIwMzA2NTY1NDE1MTBaFDExMjk0ODgyMDMwNjU2NTQxNTEwasEPEgEwGAAiRRoxAAoqaGhiZGtraGdqbWN2c2VpY2hoVUMzYVZIZkh0N1BnSnBFRzhKS2NFN2hBEgIAEioQwg8PGg8_E9kEggQkAYAEKyqLARABGniBAu4HBgH_APj38g4HB_wB-QP_Afn9_QD0BgL_CAL_AAH5APf5AQAABBIB_v8AAAD99_cC-_4AAA3_7PwCAAAAAgAD_gIAAAACC_cG_gEAAPsL9w0E_wAAEAQHEAAAAAD8CAEB_P8AAP__-w0AAAAA9vUAEAAAAAAgAC2Ps9M7OBNACUhOUAIqhAIQABrwAX8RE_7j7s0B0i7QALEY6QCPFg3__DXRALrp8gDTDrkB7BndANzxBAET-gf_yy_-_zXUz_7v3BL_I772_ybS7gHtEg4BFdoEAj0TLv_16fYA6gooAAftGwAZ1dEDGw7k_QPWBf_68OYH_-TJABgDHwH7Gif_GPQjAvbdGwX-_vIJ9_jF_gsmBAPn1xT81wUjAvzi5QEOBfL61BTy_AnTCvz-3hj8IV8DCSvZ9wE0B_8Iyyf-AvHZzf4NPAH_8wLk-PvoGf7W5AD45PcIAA7mCf33EvcBJ-b3CC71CvoO9AoA7dwA9tcV_vv27eoK0vcD7CAALR1GEDs4E0AJSGFQAipzEAAaYCnjAD_06-_X-O73B_E5HI-l3t4M1fj_BNX_6i7nExc0udILKwAk-fTjnwAAAD3l7_MMAPB_vREaFhv-BJW_6Q0JVv8EK8INB_3PqSzxB_zw_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_AABAQAAAlkIAABzCAACAPwAA2EEAAKjBAADIQQAAYEEAAKBBAABUQgAAjMIAACBBAAAIQgAAiMEAALjBAABAQAAAwMEAABBBAADIwQAAJEIAAKhCAAD4QQAAAMEAAKDAAACAwQAA0EIAAIhBAAAIwgAAcEEAAMjBAAAAQAAAVMIAABBBAADgwQAAoEEAAOBBAAAUwgAAcMEAANjBAAAAQgAACMIAAKDAAAAAQAAAJEIAAEDAAAAAQQAA4EAAADBCAACYwQAAwsIAAOhBAACYQQAA0EEAAMDBAACAQgAAiEEAAADAAACowQAAoMEAAIA_AACgwAAAFEIAAHRCAAAcwgAAMMEAABDBAAAowgAA6MEAAGjCAAAQQQAAiMIAAIBCAABwQQAAAMAAAEBBAAAwQgAAIMEAALRCAACQQgAAmMEAAMjBAABgQgAA0EEAAEDBAAB8wgAACEIAAIDAAABAwAAA6EEAAOBCAABgwgAAnsIAADDBAAAgwgAAZEIAAJDBAADAwQAAgMAAADjCAAAAAAAAUEEAAPjBAABQwQAA4MAAAADBAABUQgAA4MEAAGDBAABwwQAAjMIgADgTQAlIdVABKo8CEAAagAIAAEC8AABEPgAA4LwAAKA8AABwvQAA4j4AACQ-AAA5vwAAmr4AAAw-AAAEvgAAoLwAAIg9AAAQPQAAIb8AACS-AABEPgAADL4AAI4-AABlPwAAfz8AAOi9AADSPgAAFL4AAKg9AACYPQAABD4AAK4-AAA0vgAAJD4AAFw-AAA0vgAAcD0AABs_AADYvQAA9r4AAEC8AAAJvwAAtr4AAJK-AACYPQAA-L0AACE_AAC6vgAAcL0AADy-AADovQAA3r4AAJK-AAD-vgAAPD4AAKA8AACAOwAAFD4AAIY-AAA8vgAAYz8AAFC9AAA8vgAAEL0AAJi9AAAEPgAAcL0AACS-IAA4E0AJSHxQASqPAhABGoACAADgPAAAbD4AAGS-AABLvwAAqr4AAHA9AACqPgAAQDwAAIA7AACIPQAAgDsAAEy-AAAQvQAA6L0AAKA8AACYvQAAbL4AAMY-AABkvgAAij4AANg9AABMvgAA4LwAAPi9AACYvQAAuL0AAFS-AACgPAAA6L0AAMi9AADIPQAA4DwAAFS-AACgvAAA2L0AAAy-AACIPQAATD4AAIK-AAAMvgAA6D0AAFQ-AAAsPgAA4DwAAFA9AAAQvQAAf78AALY-AACmPgAAgLsAAJg9AAAwPQAAgDsAALY-AADgPAAAHD4AAHC9AABwPQAA2L0AABC9AAAQPQAA4LwAACQ-AAAQvSAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=RV9Ya71qYeA","parent-reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":480,"cratio":1.77916,"dups":["11294882030656541510"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"656115703"},"15873447020367102066":{"videoId":"15873447020367102066","docid":"34-9-0-Z8636E94D7B1835A0","description":"ergün hoca Udemy de !!! KURS 1- Limit- Süreklilik- Türevin Tanimi VE Uygulamalari 134 Video- 24,5 SAAT- 20 Deneme Sinavi- 110 SORU (Cevaplari İLE Birlikte) https://www.udemy.com/course/limit-su...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4773851/62a8aac721e423d4c1dc6b19466765dd/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/3WvYJQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=videoid:15873447020367102066","teaser":[{"list":{"type":"unordered","items":["Bu video, Ergin Hoca tarafından sunulan bir matematik dersidir. Hoca, öğrencilere fonksiyonların artan ve azalan analizini anlatmaktadır.","Videoda, kareköklü ve kesirli fonksiyonların artan-azalan analizi adım adım gösterilmektedir. İlk olarak tanım kümesinin belirlenmesi, ardından türevin alınması ve türevin işaretinin incelenmesi anlatılmaktadır. Hoca, kareköklü fonksiyon örneği üzerinden tanım kümesinin nasıl bulunacağını, türevin nasıl alınacağını ve işaret tablosunun nasıl oluşturulacağını detaylı şekilde açıklamaktadır. Daha sonra kesirli fonksiyon örneği üzerinden benzer analiz yapılmaktadır. Video, bir sonraki derste üstel ve logaritmik fonksiyonların inceleneceği bilgisiyle sonlanmaktadır."]},"endTime":617,"title":"Matematik Dersinde Fonksiyonların Artan Azalan Analizi","beginTime":0}],"fullResult":[{"index":0,"title":"Kareköklü Fonksiyonun Artan Azalan Analizi","list":{"type":"unordered","items":["Kareköklü bir fonksiyonun artan azalandığını araştırmak için öncelikle tanım kümesi belirlenmelidir.","Karekökün içindeki ifade (3-2x²) büyük eşittir sıfır olmak zorundadır.","Denklemin kökleri -3 ve 1 olduğundan, tanım kümesi [-3,1] kapalı aralığıdır."]},"beginTime":8,"endTime":90,"href":"/video/preview/15873447020367102066?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=8&ask_summarization=1"},{"index":1,"title":"Türev Alma ve İşaret İncelemesi","list":{"type":"unordered","items":["Fonksiyonun artan azalan durumunu belirlemek için türevi alınır: f'(x) = -2x/(3-2x²).","Türevin işaretini incelemek için sıfıra eşit olduğu değer bulunur: x = -1.","x \u003c -1 ve x ≥ -1 aralıklarında fonksiyonun artan veya azalan olduğu belirlenir."]},"beginTime":90,"endTime":317,"href":"/video/preview/15873447020367102066?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=90&ask_summarization=1"},{"index":2,"title":"İkinci Örnek Fonksiyonun Analizi","list":{"type":"unordered","items":["İkinci örnekte kesirli bir fonksiyon incelenir: f(x) = 1/(1+sinx).","Fonksiyonun tanım kümesi [0,π] aralığıdır ve payda sıfır olmadığı için her yerde tanımlıdır.","Türev alınarak f'(x) = -cosx/(1+sin²x) elde edilir."]},"beginTime":317,"endTime":450,"href":"/video/preview/15873447020367102066?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=317&ask_summarization=1"},{"index":3,"title":"Artan Azalan Durumunun Belirlenmesi","list":{"type":"unordered","items":["f'(x) = 0 şeklinde olduğu noktalar incelenir: x = π/2.","0 ile π/2 aralığında f'(x) \u003c 0 olduğundan fonksiyon azalandır.","π/2 ile π aralığında f'(x) > 0 şeklinde olduğundan fonksiyon artandır."]},"beginTime":450,"endTime":527,"href":"/video/preview/15873447020367102066?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=450&ask_summarization=1"},{"index":4,"title":"Sonuç ve Öneriler","list":{"type":"unordered","items":["Fonksiyonların artan azalan durumunu belirlemek için öncelikle tanım kümesine bakılır.","Tanım kümesi üzerinde birinci türevin işaretini incelemek gerekir.","İşaret değiştirdiği noktalarda bölgesel maksimum veya minimum aranır."]},"beginTime":527,"endTime":608,"href":"/video/preview/15873447020367102066?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=527&ask_summarization=1"}],"linkTemplate":"/video/preview/15873447020367102066?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"15) Matematik 1(Calculus 1) - Türevin Uygulamaları- Artan-Azalan Fonksiyonlar Sorular 2","related_orig_text":"ExMuslim Answers Hub","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ExMuslim Answers Hub\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=rVZjU1D_5PE\",\"src\":\"serp\",\"rvb\":\"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_E-kEggQkAYAEKyqLARABGniB-_YO_v8BAPj38g4HB_wB8PwABPv__wDn_QUC__4BAPn1-Pv4AAAABhP2AP4AAAD3APQC-v8AABUE9AD1AAAA-f0FC_gAAAD5-_kCAAEAAPkJ9gID_wAAFgX-BgAAAAAB-gEA__8AAP__-w0AAAAA8-r3BQAAAAAgAC0q59Q7OBNACUhOUAIqhAIQABrwAX8ICAHV6uT_rffOANQn4gGHCiv__DTSAMD7IQDVDroB4gjzAOj9AAAa-B7_yhXzADPV0P_b0_0BKtcO_xXz8QDYERUBGun1ASETLwLw4hP-zAUd_wr7CwD9x94AGhrdAB3fBP7l-9kD6djXAA_-PgH9KQoCHdsS_vDnDQHuEgEF9_jG_gUYDgTw3f_5x_4fAQzo_QgVEwj63vPv_f7qCwb-8Ab1HRvh_SDy9gYOEwAD0hb5-Avj6AITEwYB1_b09ebwGPnCz_j3EfD9_w3nCP31AOoDIdnoAhEJCP7rygDw3-z59uYQAwf27esK8OXy_iAALY27Ezs4E0AJSGFQAirPBxAAGsAHI6LAvm4WTz1idK-8TmP7vTfpDL136fC8-KgPvqfz1zzlXiC9n9ajPSHw9jxF9py8s_B1vsfQlrxFZEA5FvvLPXThkb3hTKe8cT1avucWvz2FTKi8y4NUvppVqbwRmpM8IuSXPaqgfb2EAMs7wX6-PfL3wb0XrW28rkUQPYOcwTxV7Lm86-Z9vYmukL3-HiM8G3-HPNc3m72uqWK7nYV4Pbw-kLuKBT68z0mfPYWZkbwuqoe7TyRzvLiCHD1aDYm8CXmTPQ3WyTz8jmE8eAA1vVen8zrFgu-7N93SvWukgLyTZdI7NuwyPQANBT3E0ju9aTPzPB5v8r3XJdM6DHcOvk3aFjuWYRc93WA4PimmXD3jGz46A3NZvQ3mmj0vYy-8YYg8PSHJLL1h3Z07APKEPYkrAj34Ky48wJaHPUk7lD0PsWa8JNENvJloKz1YkGY8UFObPbaeBLyGrkS8_OAcPbnjSD1qu-y7-J8mvUfR9jkDZEM8bayEPB0QNz2zW3A8RCDNPBM4hrqiFQ48xTVDPfhRDb4Jbyy7x4NtvVcQjr2dt1a8VGQePVhVADrvekS8WYfDPQrPVb30glM7j7pnPOdnL73DP7K7Vms8vFKvsL1ixxg7pxaLvcVvLzw6rzE8bcVDveP1lT03TI25_tm6PSsSAz7LsVu5clP_O7-C1L06i4M6FHkSPStaLz0k-xS7Y4WVO3-WiD0wv5E5aeTTPcnSvbxSsAa4LecXPdCC67zfDCs7X5SFvPC0RrxsyF-41Td1PSsWj73usMs5SvFMvBF6bLwRY8E4qSKmvHViRbxD0c24OgEPO1cDObwKdB86qz2RvRpSFb4wUQo635hUPdO3kT1qRco3Wt2FPX6KA73MUne55YySvZO5A73jfZ65lw2hvEj1wjz0CJq4uKcUPA_nCjzuXJ-4i2t8PMlj_DwnRi25DxYEvVx4GjzMrl24BYQcvFm6JzzIAxu2QfEDPXFPwb3XOHs51O5XvKQ5Ej7F_VW5LZ7wvHbjXTzFxlG4CGBZvS7nDT3r0sC4gTpKPW3YQL05Hq-3Lfe4PA-KjD2pvYq4ZVPOvcLoqDz-Mug3PGrMvPKlZr369-W3t8Q7PT_ekLxR34U4FvPYPEq_szxlhZW3427wPQ5M7r3JZZe5_-VeO-lAi73LJa-4wxGDOVBVIb2EoSu3l1GRvYdyHT1TOIu25NWevHqJ8b1lVTC4yvRwPSLhKz7xy4o4tsqdPNzVKz1f2XC4cMrBvTMX-D263KY4cuy_vcireD0X2Y04IAA4E0AJSG1QASpzEAAaYDXrAD_y--jU7eDxHNZAI4at5uEB3_n_993_6wb_EAsjwLruFwAtCfDjnwAAADH77PYnAB9_zPoiFwsSIJrHAxb3WgsON8QMFeXCzkf-E-gM7tf1PADI5YwoSPKhLEpB_CAALV-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_AAAIwgAAUMEAAABAAAAwwQAAGEIAAIhCAAAIwgAAYMEAAGDBAAAwwgAACMIAAIDCAABAQQAAgMIAAHRCAACYQQAA4MAAAIBAAAA4QgAA4MAAALZCAACCQgAAgMEAAODBAABgQgAAsEEAAODAAABgwgAA2EEAAADAAACgQAAAwEEAANJCAABAwgAAmMIAALjBAAAMwgAAaEIAALDBAADgwQAAEMEAACDCAACgwAAA4EAAAATCAABAwQAAEMEAAABBAABEQgAA2MEAACDBAACgwQAAiMIgADgTQAlIdVABKo8CEAAagAIAAIi9AAAwvQAA6L0AAJg9AAA0PgAAAT8AAHQ-AABLvwAAgr4AAKY-AACovQAAuL0AAOC8AABwPQAAvr4AAAy-AAC4PQAAgDsAAIY-AAAZPwAAfz8AABA9AAAwPQAA-L0AAEw-AABEvgAAuD0AAHw-AABMvgAAED0AAFQ-AAAkvgAAQDwAAHw-AAD4vQAAur4AADA9AACCvgAABb8AAMi9AAAwPQAAoDwAANY-AACCvgAAHD4AAMq-AABQvQAAyL0AALg9AAC6vgAAfD4AAFS-AABUPgAAZD4AAKg9AACovQAAOT8AAHC9AACWvgAAmD0AAGw-AAA0PgAAcD0AALi9IAA4E0AJSHxQASqPAhABGoACAAAwPQAARD4AAAS-AABZvwAATL4AAOC8AAA8PgAAcL0AAHC9AADYPQAA6D0AACy-AAAsvgAA2L0AADA9AAC4vQAAhr4AAAE_AABcvgAAdD4AAAw-AAAkvgAAoLwAACS-AADYvQAA2L0AAFS-AACYPQAAML0AAOA8AAAcPgAAUD0AAGS-AADgPAAAgLsAAJi9AACoPQAA2D0AAJa-AAAsvgAAHD4AADQ-AAAwvQAAyD0AAMi9AAAQPQAAf78AAI4-AAC6PgAAcL0AALi9AACYPQAAcL0AAKY-AACYPQAAJD4AAEC8AADoPQAAQDwAALi9AADgvAAAoDwAAFw-AABQvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=rVZjU1D_5PE","parent-reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":480,"cratio":1.77916,"dups":["15873447020367102066"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"4020128372"},"6405994210853324097":{"videoId":"6405994210853324097","docid":"34-4-9-Z7EE94E8C3659DA2F","description":"ergün hoca Udemy de !!! KURS 1- Limit- Süreklilik- Türevin Tanimi VE Uygulamalari 134 Video- 24,5 SAAT- 20 Deneme Sinavi- 110 SORU (Cevaplari İLE Birlikte) https://www.udemy.com/course/limit-su...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2211633/c7a91daa846361c96ace8634d9f226a0/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/wTjHIgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=videoid:6405994210853324097","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin asimptotlar konusunu anlattığı eğitim içeriğidir. Öğretmen, önceki derslerde öğretilen düşey ve yatay asimptot kavramlarını hatırlatarak yeni konuyu açıklamaktadır.","Videoda asimptotların nasıl bulunacağı adım adım gösterilmektedir. Öğretmen önce yatay asimptotların hesaplanmasını, ardından eğik asimptotların nasıl tespit edileceğini rasyonel fonksiyonlar üzerinden örneklerle açıklamaktadır. Ayrıca alfa ve beta değerlerinin hesaplanması ve tek taraflı asimptotların incelenmesi de anlatılmaktadır.","Video, teorik bilgilerin yanı sıra pratik örneklerle desteklenmekte ve sınavlarda asimptotların nasıl sorulabileceği hakkında bilgiler içermektedir. Öğretmen, temel örneklerle başlayıp daha sonra orijinal fonksiyonlarla devam edileceğini belirtmektedir."]},"endTime":932,"title":"Matematik Dersinde Asimptotlar Konusu","beginTime":0}],"fullResult":[{"index":0,"title":"Asimptot Kavramı","list":{"type":"unordered","items":["Düşey asimptot ve yatay asimptot kavramları öğrenildikten sonra eğik ve eğri asimptotlara geçiliyor.","Asimptot, bir eğriye sonsuza doğru yaklaşan eğri veya doğrular olarak tanımlanır.","Asimptot kavramı başlı başına soru olarak çıkabilir, ancak daha çok eğri çizimleri konusunda kullanılır."]},"beginTime":8,"endTime":150,"href":"/video/preview/6405994210853324097?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=8&ask_summarization=1"},{"index":1,"title":"Eğik ve Eğri Asimptotlar","list":{"type":"unordered","items":["Eğik ve eğri asimptotlar düşey ve yatay asimptotlara göre daha zor incelenecek yapılardır.","Rasyonel fonksiyonlarda, payın derecesi paydanın derecesinden büyükse kesinlikle eğik veya eğri asimptot vardır.","Payın derecesi paydanın derecesinden bir fazla ise, polinom bölmesi yapıldığında bölüm ifadesi asimptot olur."]},"beginTime":150,"endTime":314,"href":"/video/preview/6405994210853324097?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=150&ask_summarization=1"},{"index":2,"title":"Asimptotların Bulunma Yöntemleri","list":{"type":"unordered","items":["Asimptotlar rasyonel fonksiyonlar için değil, diğer fonksiyonlar için de geçerlidir.","Asimptotlar artı sonsuza ve eksi sonsuza giderken farklı değerler alabilir.","Payın derecesi paydanın derecesinden birden fazla büyükse, bölüm ifadesi asimptot olarak kabul edilir."]},"beginTime":314,"endTime":472,"href":"/video/preview/6405994210853324097?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=314&ask_summarization=1"},{"index":3,"title":"Örnek Uygulama","list":{"type":"unordered","items":["Verilen fonksiyonda düşey asimptotlar paydayı sıfır yapan x=1 ve x=-1 doğrularıdır.","Yatay asimptot yoktur çünkü payın derecesi paydanın derecesinden büyük ve limitler sonsuz değerlerdir.","Eğik asimptot için polinom bölmesi yapılarak y=x doğrusu bulunmuştur."]},"beginTime":472,"endTime":658,"href":"/video/preview/6405994210853324097?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=472&ask_summarization=1"},{"index":4,"title":"İkinci Yol ile Asimptot Hesaplama","list":{"type":"unordered","items":["İkinci yol ile iyi asimptotu bulmak için alfa+beta formülü kullanılıyor, burada alfa 1 ve beta 0 olarak bulunuyor.","Alfa değeri limit x sonsuza y/x formülüyle hesaplanıyor ve pay ve payda polinomların baş katsayıları oranlanarak 1 olarak bulunuyor.","Beta değeri limit x sonsuza y-alfa formülüyle hesaplanıyor ve 0 olarak bulunuyor, bu da y=1*x+0 şeklinde bir doğru asimptot olduğunu gösteriyor."]},"beginTime":660,"endTime":787,"href":"/video/preview/6405994210853324097?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=660&ask_summarization=1"},{"index":5,"title":"Asimptotların Önemi ve Eksi Sonsuz Durumu","list":{"type":"unordered","items":["Asimptotlar tek taraflı davranışlardan meydana gelebilir, bu nedenle hem artı sonsuz hem de eksi sonsuz durumları kontrol edilmeli.","Eksi sonsuza gidildiğinde de alfa 1 ve beta 0 olduğu görülecek, bu da asimptotun aynı şekilde y=x şeklinde olduğunu gösteriyor."]},"beginTime":787,"endTime":813,"href":"/video/preview/6405994210853324097?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=787&ask_summarization=1"},{"index":6,"title":"Farklı Bir Fonksiyon İçin Asimptot Analizi","list":{"type":"unordered","items":["y=x/(x+1) fonksiyonunda düşey asimptot yok çünkü limit x sıfıra giderken fonksiyonun değeri 0 oluyor.","Yatay asimptot da yok çünkü x sonsuza giderken fonksiyon da sonsuza gidiyor.","Payın derecesi 3, paydanın derecesi 1 olduğu için aradaki fark 2, bu da eğik asimptot yerine ikinci dereceden bir parabol (eğri asimptot) olduğunu gösteriyor."]},"beginTime":813,"endTime":923,"href":"/video/preview/6405994210853324097?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=813&ask_summarization=1"}],"linkTemplate":"/video/preview/6405994210853324097?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"38) Matematik 1(Calculus 1) - Türevin Uygulamaları- Eğik ve Eğri Asimptotlar- Asimptot Soruları 2","related_orig_text":"ExMuslim Answers Hub","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ExMuslim Answers Hub\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=gVgkX5bN43E\",\"src\":\"serp\",\"rvb\":\"Eq8DChM0MjAxNzAzMjgwMzI5MzI2NjI5ChM0NjU0ODEwODg5MTYyOTIxMDcyChM0NTI2MTYxMzUzNTI1NTY3MDUwChQxMTY2OTUyNzEwNTg5MjEzMzYzNwoUMTgyMDg1NDE3MDUwMjgzMDMwNzMKFDE3OTI4MjI3MjM5NTk0NTk0MTkzChM0MDA0ODQ4NzQ0MDQ4MTE4MTUxChMzNDY5NTM1NDc1NTM2MTgxOTAyChQxMTI5NDg4MjAzMDY1NjU0MTUxMAoUMTU4NzM0NDcwMjAzNjcxMDIwNjYKEzY0MDU5OTQyMTA4NTMzMjQwOTcKFDE2NTg3NTg4MzYwODA0NDI1NDQ1ChQxMjk1MTIyMjkwNDc1NjYzNjc5NAoTMzQ1NjAzMDc1MTU5ODQ1OTExOAoUMTgyNzkyOTE0Mjk4NTk3NzkwNjkKFDExNDg1MzQzMTAzMjMyNjkzMDk1ChQxMDAwNzQxNzcwNTkyODA3MDYxOQoTNjcxNDAxODU0ODU2NDkxOTkwMQoUMTQ2NzE4NDI4NDA5NDA0NjQ1OTkKEzg4NzM5NjY3OTYzMzc5NzA5MTQaFQoTNjQwNTk5NDIxMDg1MzMyNDA5N1oTNjQwNTk5NDIxMDg1MzMyNDA5N2qTFxIBMBgAIkUaMQAKKmhoYmRra2hnam1jdnNlaWNoaFVDM2FWSGZIdDdQZ0pwRUc4SktjRTdoQRICABIqEMIPDxoPPxOkB4IEJAGABCsqiwEQARp4gfzwAfz9AwDv_vIIAgP_AQ7-BgL3AAAA5AP8Cgj9AgAB8QT_-gAAAPwGBP_3AAAA-_3-B_7-AAAVBPQA9gAAAPcB_wP6AAAAAQH5-v8BAAD6C_oF-AEAABX-BgMAAAAAAQX9Bvn_AAEFDPkDAAAAAPrnAQkAAAAAIAAtxcPcOzgTQAlITlACKoQCEAAa8AF_Bvv-5-LgAtEFwQDTNLgBmjQp__w6zACv0gIBrvW_Ad4J8QDmDA8AIAooAsMY8gE60Mr-7u8GAEPY_AAL-QQAyx0KASvO8gFoByEAAOsEANYRH_4W2CEAG9HMA_wE4v8E0gX_7unO_gzorwoc4jIDCj4ZAgAC-AXa4QAA0AkWBO0Xz_0pEvEG-PH6-r_-IwH85_f_GBUJ-ekSB_n_2hoF4vD7-RAr7QUU3wMIEBUABN0l__spBOb8FiP99bLd5PcYyBb48NwB7QTW__wf2v4BBdL49xP_7wIi-QL-FuUK-O3x-vzwCu4LBuLk_-z09v4gAC0sqgI7OBNACUhhUAIqzwcQABrAB2oW0L6slBk9Uw33u-YQZ70WqEC9LB-DvUvTtr2Wyys9rO4HvT7Q6j2ZzvM8nYdRu7Pwdb7H0Ja8RWRAOSb_8z3xBbe9oGUnPIc0Kr6eaag9tnJlvD8eOr4gGQG9bcW-PLGkvD3w9O-8GI1GPMF-vj3y98G9F61tvOTDxzzD8iC6g5rrvOvmfb2JrpC9_h4jPNuZUz2SC5m9vOvsu6GjsDw2YOu8qtqLO-AR1T1CWog7mLKCvNg1TrsbdHg8FKFHvMkibT1FhNo7JTMoPDFCGL3C-v88Ma-IvCYFkb38Z5M72J2sO0ELCT2-7Eg9EUqpvNjCBz1Ex5m98juyvE7ys73ezKi8RvJwPN1gOD4pplw94xs-OrDi1L11Nsk9PI5VPPVSDD2gD2C8_E_EO0mC8D1iFvU8KsrlvB0weT2T9ss9UMC4O3IT97ssuYo8czLMPFBTmz22ngS8hq5EvATwBT0la_27QRM8PCxsPLy6oek9HDkYO6hOjD1WEQ49tGx3PKc1E7k29ja8sNBiPMU1Qz34UQ2-CW8su87yBr2QOIq9nMtDvHDC77oJXI28cQVvvBWQVj2_Xpa93UPCu0gIxbzaFxY8aRiEu1ZrPLxSr7C9YscYOyy9Mb36jDU97QivOihyUr10MDE9Pqn-u_7Zuj0rEgM-y7FbuWwB57swR--9P5qgugwDFj19CCq8-tRSu89-STzdXFw9glfGOWnk0z3J0r28UrAGuH94TD1XsI083FWbu828y72nz069zEqpt6Gd0z1RgZi9l51ROc2h1jx4UpU8PMqXOKkiprx1YkW8Q9HNuO5vmjyjLDK9vPebuKs9kb0aUhW-MFEKOhzWDz1aYqU8cF3luReomz2Msh26dxlsuez3BL6pIia8whVkuI7ncbsQblc9IHLcufrESzwtHHS62_9It8byMz2J3CI9F372tzNWtrxonec8SGyfOLGulb3AMys9SIC-N5i0Ujs_cMW99y5gOcNPl73TgwI-035JuclbSb3riAk8c6-vuKk7xbzJZh09E4kGuYsWgD1EKsG9fSojOMlDOrwfWZo9N_MGN2vx6b151iS87i9gNll6I71VaLC9DOgxuEuPuz1CPgi9PGN8OIf287pgO4C5eYZ7OM6Cqj3ECte9LPYmue99sL1kikO9FC5BuKaGkTwjY1q99H6KNxkTjL0nUEQ8FfhVuOAfBLsEO169_X17t1UYpj1tC8U9g8fnOCmeabx4zZA9oeaauLQWwL1UNLs9PF-yOCXSob0Yw2Y8q5dqOCAAOBNACUhtUAEqcxAAGmA23gBCBu7u-u3u9h_dFTelqu7DF9v9__7m_8wm1AjqLdLMDx0ALQf-8p4AAABZ5-nbDgAMf9HlAR0H_y_FufQc5VfsKDDf1RfzxMxdABXt_-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_AAAIwgAAMMEAABDBAABgQQAALEIAAOjBAADgwAAAyMEAAJDCIAA4E0AJSHVQASqPAhAAGoACAABEvgAAML0AADy-AAAsvgAAuD0AAA8_AACOPgAARb8AAFS-AACCPgAAfL4AACy-AADYvQAAyL0AAOq-AACovQAARD4AANi9AACiPgAAPT8AAH8_AAAQPQAAuD0AAMi9AAC4PQAAcL0AAIA7AABcPgAAjr4AAEC8AABEPgAAVL4AACQ-AACCPgAADL4AAOa-AACAOwAAir4AAPq-AAAkvgAAgDsAAEC8AAC-PgAAJL4AADC9AACuvgAAQDwAADy-AACYvQAAhr4AABQ-AACKvgAAgj4AAJ4-AABAPAAAmL0AAEs_AAC4PQAApr4AAFA9AADgPAAAoj4AAFC9AAAMviAAOBNACUh8UAEqjwIQARqAAgAAoLwAAII-AADYvQAASb8AACy-AAAwPQAAjj4AAEC8AAAQvQAA2D0AAIg9AABUvgAADL4AABy-AABAPAAAcL0AAMi9AAD6PgAAjr4AAEQ-AACAuwAABL4AALi9AAC4vQAA4LwAAIC7AABUvgAAQLwAABS-AACAOwAA2D0AAFA9AACKvgAAED0AAKi9AAC4vQAAgDsAAOA8AACWvgAAZL4AAEC8AABcPgAAED0AAMg9AAAwvQAAyL0AAH-_AACaPgAAdD4AADC9AACIPQAABD4AAIA7AACSPgAAQLwAALg9AACAuwAADD4AAJi9AABQvQAAgDsAAFC9AACCPgAAiL0gADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=gVgkX5bN43E","parent-reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":480,"cratio":1.77916,"dups":["6405994210853324097"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1436085141"},"16587588360804425445":{"videoId":"16587588360804425445","docid":"34-5-3-Z70024CD470583D17","description":"ergün hoca Udemy de !!! KURS 1- Limit- Süreklilik- Türevin Tanimi VE Uygulamalari 134 Video- 24,5 SAAT- 20 Deneme Sinavi- 110 SORU (Cevaplari İLE Birlikte) https://www.udemy.com/course/limit-su...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3776510/ea968b059ef410813ebf8672bfbae262/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/-dON3QAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=videoid:16587588360804425445","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin maksimum minimum değerler ve kritik noktalar konusunu anlattığı eğitim içeriğidir. Öğretmen, konuyu grafikler kullanarak görsel destekler sunmaktadır.","Videoda öncelikle maksimum minimum değerler konusu ele alınmakta, bölgesel maksimum-minimum ve mutlak maksimum-minimum kavramları açıklanmaktadır. Daha sonra kritik noktalar konusuna geçilerek, kritik noktaların türevin sıfır veya tanımsız olduğu noktalardan oluştuğu ve fonksiyonun tanım kümesi içinde yer alması gerektiği vurgulanmaktadır.","Öğretmen, sınavlarda fonksiyonların maksimum ve minimum değerlerini bulmak için kritik noktaların önemini belirtmekte ve konunun ilerleyen videolarda daha detaylı işleneceğini söylemektedir."]},"endTime":691,"title":"Matematik Dersinde Maksimum Minimum Değerler ve Kritik Noktalar","beginTime":0}],"fullResult":[{"index":0,"title":"Maksimum Minimum Değerler Konusuna Giriş","list":{"type":"unordered","items":["Videoda maksimum minimum değerler konusuna başlanacak ve önemli bilgiler paylaşılacak.","Fonksiyonlarda maksimum değerleri hesaplamak zor olmayacak, ancak konunun mantığını kavramak önemlidir.","Lisede bu konular hızlı geçildiği için doğru düzgün anlaşılmamış olabilir, bu nedenle mantıksal bir çatı kurulması gerekiyor."]},"beginTime":8,"endTime":85,"href":"/video/preview/16587588360804425445?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=8&ask_summarization=1"},{"index":1,"title":"Tek Değişkenli Fonksiyonlar ve Ekstremumlar","list":{"type":"unordered","items":["Tek değişkenli fonksiyonlar düzlemde eğri olarak gösterilir ve bu eğride maksimum ve minimum değerler bulunur.","Maksimum ve minimum değerlere \"ekstremumlar\" denir ve bunlar bölgesel, yerel, mutlak, kritik nokta ve son nokta ekstremumlar olarak sınıflandırılır.","Lisede grafiklerle çok uğraşıldığı için, artık ele alınan fonksiyonların grafiği çizilebilecek olmayabilir."]},"beginTime":85,"endTime":284,"href":"/video/preview/16587588360804425445?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=85&ask_summarization=1"},{"index":2,"title":"Bölgesel Ekstremumlar","list":{"type":"unordered","items":["Bölgesel ekstremumlar, bir nokta civarında fonksiyonun incelenmesi demektir.","Bir nokta bölgesel maksimum ise, o noktanın komşuluğundaki sonsuz sayıda değerden en büyük olanıdır.","Bir nokta bölgesel minimum ise, o noktanın komşuluğundaki sonsuz sayıda değerden en küçük olanıdır."]},"beginTime":284,"endTime":389,"href":"/video/preview/16587588360804425445?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=284&ask_summarization=1"},{"index":3,"title":"Son Nokta Ekstremumlar","list":{"type":"unordered","items":["Bir noktanın solunda fonksiyon tanımlıysa ve sağında tanımlıysa, o nokta son nokta ekstremumdur.","Son nokta ekstremumlar bölgesel ekstremumlarla aynı anlama gelir.","B noktasında solunda fonksiyon tanımlıysa ve sağında tanımlıysa, bu nokta bölgesel maksimumdur."]},"beginTime":389,"endTime":476,"href":"/video/preview/16587588360804425445?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=389&ask_summarization=1"},{"index":4,"title":"Mutlak Ekstremumlar","list":{"type":"unordered","items":["Mutlak ekstremumlar, tanım kümesi içerisinde fonksiyonun aldığı en büyük ve en küçük değerlerdir.","Tüm mutlak ekstremumlar aynı zamanda bölgesel ekstremumdur, ancak tersi doğru değildir.","Kritik nokta kavramı farklı kitaplarda farklı şekillerde söylenir, ancak videoda tüm noktalar kritik nokta olarak adlandırılacaktır."]},"beginTime":476,"endTime":575,"href":"/video/preview/16587588360804425445?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=476&ask_summarization=1"},{"index":5,"title":"Kritik Noktalar ve Fonksiyonlar","list":{"type":"unordered","items":["Sınavda verilen bir fonksiyonun maksimum ve minimum değerlerini bulmak için fonksiyonun tanımlı olduğu yerden bazı noktalar seçilip incelenmesi gerekiyor.","Kritik noktalar, bir türevin sıfır yapan veya tanımsız yapan noktalardan gelir.","Kritik noktaların önemli bir şartı, fonksiyonun tanım kümesi içerisinde yer almasıdır, aksi takdirde fonksiyon tanımsız olduğu yerde değer alamaz."]},"beginTime":577,"endTime":676,"href":"/video/preview/16587588360804425445?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=577&ask_summarization=1"}],"linkTemplate":"/video/preview/16587588360804425445?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"18) Matematik 1(Calculus 1) - Türevin Uygulamaları- Maksimum-Minimum Değerler-Tanıtım 1","related_orig_text":"ExMuslim Answers Hub","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ExMuslim Answers Hub\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=5ofny5oC1lk\",\"src\":\"serp\",\"rvb\":\"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_E7MFggQkAYAEKyqLARABGniB8P0KAP4CAAP1-wkGCfwCAfz2_Pj9_QD0BgL_BwL_AAHr-fr_AAAA-hDw_wMAAAADAfkF8v4BAAz_7fwCAAAAAv0GCv8AAAD4BvkA_gEAAAEPAQD0BAABEgoIAf8AAAAADgH5_f8AAAQE_AcAAAAAAfAHDgAAAAAgAC3oDdc7OBNACUhOUAIqhAIQABrwAWffDf_RFuwA7O_NAas53v-BIgr-_THVAK_7GgHkJscBEgUHALULKf8u8SYA7woZABgF2P8D2SYAQvT4_xQCDADrHRgABQn1ADPwCAD64Oz-zxvy_vULJgL33NT_AhbpAwz5A_vy_OT67gPFAhfnKgLuChcFKPz3_wABD_zu9g0G1RLV_iAlEAMHEQD52gQgAg8BA_sOMg8DAvPp_vD2BQf-4Rb9AxjlBR3g4gAe-_X44AYK9d3z__YQCRH29ALn-fYEFfLn7wz88PQUBCa5DP35EBAK6-fm_zkH_fMN9QoA7w77-ucPAwf1H_cUBN0CFSAALf8hHTs4E0AJSGFQAirPBxAAGsAHelHjvm9RILqFMkM8pZ2PvUTkz7yFS72883cOvGIcMj1fCHm9K6uEPWmIbz0PCV-7G2SivvgaIr2VV1i920_mPYW0xr0_lJO9nmKFvpG6fT0sc4S8mrVEvkFLEr3irj49O56APSjABr2RjOY6KtyXPFTeU73fFmy9W9l0PfrcATwFx8C8NkTAvejteb0uUk08BcN5PTDNvr2754o8bEhXPbHs-LxUhpa8t1dLPVZ01rvGpyC9-v-CvLr3UL1xd7G7kDISPoWUZL2afLM8SMsXPewHhjx383m83xiSvdm_4TwBmcY7DtYkvMoV3j2T3wK92MIHPUTHmb3yO7K8xipvvLedMT3H49g85Gb4PWZM4T0YI9Q76jScvLJcsD3Lepa89VIMPaAPYLz8T8Q7TYcOPoSFLr16rHS8xDHBPDQO1T0qQG88BSotPEZBED3d81c8_R92PSL4RD3L8nW8p60QOrmMuz1aYoo8sGhkvUmvNz1AaKI8Q4omPa7CgTz1rFq8opknPWD7brxnzt07xTVDPfhRDb4Jbyy7-3eaOyBkuDsMDmU7J9sAPc-Nn7yj4Rw8qc4VvKlvNL0JZIC8lvjSPEF2CL0isfa6364RPEyp67293dQ7LL0xvfqMNT3tCK86v2unuzrDuTzWNX-805SjPXuOfj0B9eo7pz3lvOuMD74l3r23nokfPWbJwj3v5t44rVwluocxCT0YcpW7RPO1PZYibzley_k66pwaPZ7YHjyhsxI72CJzvT7HDD2upRQ6b4DZPIg94btFg-45SvFMvBF6bLwRY8E4TS2bPIlwHT04Nt04fcqRvdPROz3GSpI4qz2RvRpSFb4wUQo6EqiJPdGWTrw7ueu5BrjgPSErrjz--A-5iYBevbhTnzy2lky5vWGRvMerYrzAkcW4_i4nPahFUDvYKuI4Ie6FPPfPnj02X6G6U1ejPHUcJD2HW1W4tRCJO4jgMz0asLS4CilkvOtDbb2kWfM2n_FxO6XYAT6orjG5FEqlveSHSrwUGRk4Fx-wPEughz04M8e4uD6svGwG-L15_yC4yUM6vB9Zmj038wY36K_GvFNAOr0Rajg4vJS6vO69vr1Ji5s3mz3QPf6Ki73aoZI4Tw41PZwgID3KUkc4H58APqTkkL0V6Dq5jxT4u1vfwb0t73W4u-2CvJfmob36OP-3cfSCvZgLRr3PQ6I23I1UvZ0ns70sNBK4-WTlPcjZmj21QNY2-AvsvP2bPDzPZAO3l_RBvby8vz3pDhI4D14AvenyBr3ZxSk4IAA4E0AJSG1QASpzEAAaYCbqAEf58N7QBQftEOI8L6Wg_cb-xQT_B_L_5Cj1-PtBz9MeJQA5AP3lnQAAAD3R5_T3APd_3f4lPvgQKIzE2xv-WwsuGeT4GfS9sSPOA_4QIeX0IwDk5o8AXf2eJGEdBSAALea3Ejs4E0AJSG9QAiqvBhAMGqAGAAA0QgAA2MEAAOhBAACewgAAIMEAADDCAAB8QgAAMEEAAOjBAACgQAAAcEEAAIrCAABgwQAAgL8AAEBAAACgwAAA-EEAAIC_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-AAAfvwAANL4AAEQ-AAAEvgAAcD0AABQ-AACYvQAAnr4AAPi9AACoPQAAQLwAAGQ-AADiPgAAfz8AAIA7AACiPgAAQLwAAKC8AAAkvgAAij4AAJI-AACGvgAA2D0AAEQ-AADIvQAAMD0AAN4-AABQPQAAXL4AALg9AADevgAAwr4AAPi9AAAwvQAAVL4AAKY-AAAEvgAA6D0AAK6-AAAsvgAAmL0AAFS-AACivgAAij4AAHC9AADgPAAAqD0AABQ-AACYvQAAOz8AAOi9AABMvgAADL4AAOg9AACoPQAAUD0AAHy-IAA4E0AJSHxQASqPAhABGoACAACgPAAAij4AANi9AABLvwAAir4AAIg9AACaPgAAiD0AAKi9AADoPQAADD4AADy-AACIvQAAJL4AAHA9AADYvQAATL4AAAE_AAAkvgAAkj4AAFC9AABMvgAAML0AACS-AAAQvQAAbL4AAPi9AAAQPQAAUL0AANi9AACIPQAAgLsAAFy-AACAuwAAoLwAACy-AAAwvQAA-D0AAGy-AAAwPQAAQDwAAEC8AAAwvQAAuD0AAKi9AAAwvQAAf78AAGw-AABcPgAAuD0AAIg9AACIPQAAUL0AAEw-AADgPAAAuD0AAIi9AAA0PgAAoLwAAIi9AAAQPQAAED0AAGQ-AAAwvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=5ofny5oC1lk","parent-reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":480,"cratio":1.77916,"dups":["16587588360804425445"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2649172227"},"12951222904756636794":{"videoId":"12951222904756636794","docid":"34-5-0-Z6DEDAA1E5821D795","description":"ergün hoca Udemy de !!! KURS 1- Limit- Süreklilik- Türevin Tanimi VE Uygulamalari 134 Video- 24,5 SAAT- 20 Deneme Sinavi- 110 SORU (Cevaplari İLE Birlikte) https://www.udemy.com/course/limit-su...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4436769/ea9362a1a1e542b628fa07195bd78f0e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Y8QjywAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=videoid:12951222904756636794","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin türevin tanımı kullanarak fonksiyonların türevini hesaplama yöntemlerini anlattığı bir eğitim içeriğidir. Öğretmen, öğrencilere hitap ederek adım adım çözüm yöntemlerini göstermektedir.","Videoda iki farklı fonksiyonun türevi hesaplanmaktadır. İlk olarak rasyonel bir fonksiyonun türevi, çarpanlara ayırma yöntemiyle çözülmekte, ardından küpköklü bir fonksiyonun türevi, köklü ifadelerde eşlenik alma kuralı kullanılarak hesaplanmaktadır. Öğretmen, limit hesaplamalarının önemini vurgulayarak, türevin tanımını uygulayarak belirsizlik durumlarını nasıl çözebileceğimizi göstermektedir. Video sonunda, bir sonraki videoda trigonometrik fonksiyonların türevinin nasıl hesaplanacağını anlatacağını belirtmektedir."]},"endTime":610,"title":"Türevin Tanımı ile Fonksiyonların Türevi","beginTime":0}],"fullResult":[{"index":0,"title":"Rasyonel Fonksiyonun Türevi","list":{"type":"unordered","items":["Rasyonel fonksiyon f(x) = x/(1-x) için türevin tanımından yararlanarak türev hesaplanacak.","Türevin tanımı: lim(h→0) [f(x+h) - f(x)]/h formülü kullanılarak hesaplama yapılacak.","Rasyonel fonksiyonlarda türev hesaplaması için pay ve payda eşitlenerek çarpanlara ayırma yöntemi uygulanır."]},"beginTime":8,"endTime":71,"href":"/video/preview/12951222904756636794?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=8&ask_summarization=1"},{"index":1,"title":"Rasyonel Fonksiyonun Türev Hesaplaması","list":{"type":"unordered","items":["Pay ve payda eşitlenerek x/(1-x) fonksiyonu düzenlenecek.","Limit hesaplaması sırasında h değerleri sadeleşerek belirsizlik durumu çözülür.","Sonuç olarak f'(x) = 1/(1-x)² olarak bulunur."]},"beginTime":71,"endTime":240,"href":"/video/preview/12951222904756636794?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=71&ask_summarization=1"},{"index":2,"title":"Küpköklü Fonksiyonun Türevi","list":{"type":"unordered","items":["f(x) = ³√x fonksiyonunun x=27 noktasındaki türevi hesaplanacak.","Türevin tanımı: lim(h→0) [f(27+h) - f(27)]/h formülü kullanılır.","Küpköklü ifadelerde eşlenik çarpma yöntemi uygulanır: a³-b³ = (a-b)(a²+ab+b²)."]},"beginTime":240,"endTime":424,"href":"/video/preview/12951222904756636794?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=240&ask_summarization=1"},{"index":3,"title":"Küpköklü Fonksiyonun Türev Hesaplaması","list":{"type":"unordered","items":["³√(27+h) - ³√27 ifadesi eşlenik çarpma yöntemiyle düzenlenir.","Limit hesaplaması sırasında h değerleri sadeleşerek belirsizlik durumu çözülür.","Sonuç olarak f'(27) = 1/27 olarak bulunur."]},"beginTime":424,"endTime":540,"href":"/video/preview/12951222904756636794?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=424&ask_summarization=1"},{"index":4,"title":"Türevin Genel Kuralı","list":{"type":"unordered","items":["f(x) = x^(2/3) fonksiyonunun türevi hesaplanır.","Türevin genel kuralı: f'(x) = (2/3)x^(-1/3) olarak bulunur.","f'(27) = 1/27 olarak hesaplanır ve bu sonuç önceki yöntemle elde edilen sonuca eşleşir."]},"beginTime":540,"endTime":603,"href":"/video/preview/12951222904756636794?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=540&ask_summarization=1"}],"linkTemplate":"/video/preview/12951222904756636794?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"3) Matematik 1(Calculus 1) - Türev- Türevin tanımını kullanarak çözülen sorular 2","related_orig_text":"ExMuslim Answers Hub","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ExMuslim Answers Hub\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=EA2uHjCMOYM\",\"src\":\"serp\",\"rvb\":\"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_E-IEggQkAYAEKyqLARABGniB-_oBBP4CAO_7-wkKA_4A-_wE_fr9_QD9-AEC_wb9AALxB_YEAAAABBIB_v8AAAD-A_8Q9_4BABb18AABAAAA_gMEBfwAAAAI-fwK_wEAAPwI_gYE_wAAAAD4C_8AAAAIA_oHAAAAAAQE_AcAAAAA_fL6BAAAAAAgAC3CpNo7OBNACUhOUAIqhAIQABrwAX_38f728uQB0gXCAJw--P-FFw7__DnNALHvDAGfFsT-3wnxAMzmEAAnHhn_3hIPAEf0xP8Q7CoAL9IP_zXm9wDUExgBHeb0AUIVMv_v8ej-xiUf_SXoBgAb0s0DCA3s_g_eEv7u6c_-C-ixCh_5EwT7HSr_FRIR__7bC_nrBPkD4PXT_SwJDwbw7gj26RhBAfb3__oK6BX58xf3ABDzCwcH7_z4MDzR_yPx3AYj-vP3xir-AgLw1_oWIv310vXy9PH2KgLk5f4C7hgK7jDoCAbs9QIMHObp-00Q8wEF1hwC19wD-_wRBgvqC-gH5v3pBCAALfVPBTs4E0AJSGFQAirPBxAAGsAH6WLTvorwBT2QeMM8pZ2PvUTkz7yFS728-KgPvqfz1zzlXiC9n9ajPSHw9jxF9py8s_B1vsfQlrxFZEA5y4AzPubRiL2YYjM8cT1avucWvz2FTKi8y4NUvppVqbwRmpM8O56APSjABr2RjOY6ch5pPTtqcb28tDy9nDkBPPbLjrsCjlK7WqUPvWqAN72-m5M8q0f1POpHeb3h7Na8bEhXPbHs-LxUhpa8xMF0PfwcvLoOsYu71jEzvY1S-Dw0P8i8D_yOPfyMKz3fIPU8Cvg1vMj20Dxlnbu8N93SvWukgLyTZdI7rMJrPZ1_YD3XRXa82MIHPUTHmb3yO7K8DHcOvk3aFjuWYRc9-wU7Pto31z1Edco77-SzvfeRmz3N_bq8PyiOPawfG70zvJ87MGOqPaGRmTwmaaM8My02PSAqTT2lKx47LQ4fvFVWLj0QQhs9TR1aPWPNbbwkin-8nASlPF0AdTyjJ4C8u3xrvYPDZjwge5w7lks5PdYkcz0TNeo7pzUTuTb2Nryw0GI8BSOlPdYCO75J5Zo6Yyp9vKNFzL2HKka8IrCYPRbGcTwju3e8IorpPf37J73B_mu81skZPXV7RL3ey9y7pf9APNnqsr1Tkje6ziaWvfqerDy14TC788yGvfB63zw4npG77O-mPVpNsj1Pc6a5mTbSvLxazr0YnC86tGBYPc_56TzEL6s6n21avK7tkj3jrAk3g8BKPczOprsANwu7lhV5PV_R7bzKf1Q6NR4xvXiGP73gO5w67nScPazizb0q_705NmrPu3s-lDyiz3E5734rvUocaTqOtXM4eF7PvFlf7rzdghg5HhGovc78Sr4Byw45W8MWPZcbTD1hX424-D2FPTBfFroUmwU43BSqvcNJmjw1oqy6LKhevB_Ojbs31wS6nSaWO0vij7tEuSq4RLjuPJkEeT2QrTq575pGvbSEJj1cEtI4s00ivLVo5jzjbmk3TKgAPcfwnb3-7jA5CoCxvCcX4z1iYJK5RhomvX7XET1QACO3-lgLvfH1lT1pxvO48VkoPXeWir3VNes4d7LlO9_7iz1a59S3dz2HvaTDwzyAr8I4Nov8vPvb77yS-4e4T9RoPXd-Nr0TCSM39yizO3oxGT3Zetw4427wPQ5M7r3JZZe5k4ycvCaxqr33Adu41bl9PIwTH71xczC1rSRDvQxzRz0ewRY3DRJHPHR89L1WWFm4Iv_sPTUpBT7zflu4Jc1dOy0eYz1BEQu5l_RBvby8vz3pDhI4rwzFvSPuGz0HDd22IAA4E0AJSG1QASpzEAAaYD7kAEPw_-fh5PPwDt4MD7ur4e8X0-__Ddb_4yzvJAhKlckBGgA5-_TxoQAAADDn7eIPAOR_wvARLxETEbLT8QkTSwAbM8cBDRDNwEEV-vwR8-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-AABMvgAAMD0AAKg9AAA0PgAAVD4AALI-AAAZvwAAnr4AAJ4-AABUvgAAiD0AAPg9AAAQPQAAbL4AADC9AADIPQAAUD0AAFQ-AAAFPwAAfz8AALi9AACIPQAAmL0AAAQ-AAAQvQAAPD4AAMg9AAC4vQAA6D0AABQ-AAA0vgAAUD0AAJY-AACgvAAAHL4AAKi9AABcvgAA0r4AAFy-AACIPQAA2D0AAIo-AADivgAA4DwAANa-AADYPQAA6L0AAEC8AAC-vgAAHD4AALi9AACKPgAAHD4AAIi9AADYvQAAHz8AACS-AAA8vgAAVD4AACw-AABQPQAAiD0AABy-IAA4E0AJSHxQASqPAhABGoACAACYvQAAqj4AAAS-AABXvwAAir4AAEA8AAB8PgAAuL0AABC9AABcPgAA6D0AADy-AADYvQAAJL4AAMg9AADYvQAAir4AAP4-AAAkvgAAVD4AAIg9AAA8vgAAQDwAANi9AADIvQAA-L0AACS-AADYPQAAcL0AACS-AABwPQAA4DwAAEy-AAAUvgAA6L0AAJi9AACYPQAAfD4AAIa-AAAsvgAAoLwAANg9AABAPAAAoDwAAAQ-AABAPAAAf78AAIY-AAC-PgAAqD0AAFA9AACIvQAAgLsAAHw-AACgPAAA2D0AAEC8AAAcPgAAoLwAADC9AACYPQAA4DwAAIY-AABAPCAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=EA2uHjCMOYM","parent-reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":480,"cratio":1.77916,"dups":["12951222904756636794"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"540803864"},"3456030751598459118":{"videoId":"3456030751598459118","docid":"34-9-12-Z8B8BE051B3C1394C","description":"ergün hoca Udemy de !!! KURS 1- Limit- Süreklilik- Türevin Tanimi VE Uygulamalari 134 Video- 24,5 SAAT- 20 Deneme Sinavi- 110 SORU (Cevaplari İLE Birlikte) https://www.udemy.com/course/limit-su...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3580822/bd538950e53a9aae9c8436d429feec9c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/k79LRwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D4y_ohAh36Fw","linkTemplate":"/video/preview/3456030751598459118?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"30) Matematik 1(Calculus 1) - Türevin Uygulamaları- Ekstremum Soruları 11","related_orig_text":"ExMuslim Answers Hub","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ExMuslim Answers Hub\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=4y_ohAh36Fw\",\"src\":\"serp\",\"rvb\":\"Eq8DChM0MjAxNzAzMjgwMzI5MzI2NjI5ChM0NjU0ODEwODg5MTYyOTIxMDcyChM0NTI2MTYxMzUzNTI1NTY3MDUwChQxMTY2OTUyNzEwNTg5MjEzMzYzNwoUMTgyMDg1NDE3MDUwMjgzMDMwNzMKFDE3OTI4MjI3MjM5NTk0NTk0MTkzChM0MDA0ODQ4NzQ0MDQ4MTE4MTUxChMzNDY5NTM1NDc1NTM2MTgxOTAyChQxMTI5NDg4MjAzMDY1NjU0MTUxMAoUMTU4NzM0NDcwMjAzNjcxMDIwNjYKEzY0MDU5OTQyMTA4NTMzMjQwOTcKFDE2NTg3NTg4MzYwODA0NDI1NDQ1ChQxMjk1MTIyMjkwNDc1NjYzNjc5NAoTMzQ1NjAzMDc1MTU5ODQ1OTExOAoUMTgyNzkyOTE0Mjk4NTk3NzkwNjkKFDExNDg1MzQzMTAzMjMyNjkzMDk1ChQxMDAwNzQxNzcwNTkyODA3MDYxOQoTNjcxNDAxODU0ODU2NDkxOTkwMQoUMTQ2NzE4NDI4NDA5NDA0NjQ1OTkKEzg4NzM5NjY3OTYzMzc5NzA5MTQaFQoTMzQ1NjAzMDc1MTU5ODQ1OTExOFoTMzQ1NjAzMDc1MTU5ODQ1OTExOGqIFxIBMBgAIkUaMQAKKmhoYmRra2hnam1jdnNlaWNoaFVDM2FWSGZIdDdQZ0pwRUc4SktjRTdoQRICABIqEMIPDxoPPxOcBYIEJAGABCsqiwEQARp4gQLuBwYB_wD49_IOBwf8AQQAAAL4__4A9AYC_wgC_wAB8AT_-gAAAP0U-vMEAAAA_ff3Avv-AAAN_-z8AgAAAP4EBAX8AAAAAQbvDP8BAAD_Gv8GAwAAABAEBxAAAAAABw3_APn_AAH___sNAAAAAPnxAgYAAAAAIAAtj7PTOzgTQAlITlACKoQCEAAa8AF_CAgB6ubkAsUT4gDUJ-IBhwor__w00gC7--kA1Q66Aewa9gDnFQIAGvge_8oV8wAT2LQC9bD2ACLA9v8f5u4A4AMPARTbBAI4EBcCAO4DAMwFHf_z9AsA_cfeAB8t4__65fz35fvZA__lygAXAx4B-xom_zXwGQHuzBsD7QT6Agrw1wAaDwcE8N3_-cf-HwEG8O3_Hgry--QE8QEH6hD2_t8X_BU_6f83_QEEPu_7AcIMAwjpB9YDJQwG_-Dx6gHz9yYC1_T6AO4CD_kR7vf3BxD0Bxro7Pse-gH-_uEDBtvgA_vpHQEA6uT1DeAI9OwgAC2NuxM7OBNACUhhUAIqzwcQABrAB2oW0L6slBk9Uw33u05j-7036Qy9d-nwvFGH9b3Xl4Y9hadhvZ_Woz0h8PY8RfacvPaWYr4FeIE8eT8NvMuAMz7m0Yi9mGIzPHE9Wr7nFr89hUyovMuDVL6aVam8EZqTPLGkvD3w9O-8GI1GPHIeaT07anG9vLQ8veiZgzwkVPo8mykjvRgcKr2-Toq9Bg4LvNuZUz2SC5m9vOvsu52FeD28PpC7igU-vMrngD2G17-8j2wuPBCUmbvIK4s97ubOvHVmLD2mi8M8_3SoPDFCGL3C-v88Ma-IvDfd0r1rpIC8k2XSOzbsMj0ADQU9xNI7vWkz8zweb_K91yXTOmO0Hr42Fnu7f2BYPCcXEz5P1XM9FamwPO_ks733kZs9zf26vBvccT3B-kS9zGJivB88ZD0-40c90AHRO9KufT3BMos9jgGZPKoeRrqAgYA9VNNkPPFmzT2vV7-73Sz7u_zgHD2540g9arvsu9yLHr0D0n48icAJvFq10Dwbj4g9xwjNPJuoijy6JNi8EeZRPMU1Qz34UQ2-CW8su_pYpr3LUJC9Haeuu1RkHj1YVQA673pEvCKK6T39-ye9wf5rvNbJGT11e0S93svcu6X_QDzZ6rK9U5I3ulMRjb33ZFW7EJSZOubCor0p4aM9tCr4u_7Zuj0rEgM-y7FbuZk20ry8Ws69GJwvOhR5Ej0rWi89JPsUuxTIMT0e8pA9t5DiuUkOfT1FwPy8KzLXu8VAsjwPm8i8slaHuRGQ77wdbIu94EIdORWzdD1AYK-9jWJ-OAwSET0qUgK7HkeVOC3J5rzf9NM8AGlFuf_FebtvkJq86AQ2uR4RqL3O_Eq-AcsOOaUVXzyG-Yw93_cnOTpK1DwKxRG9evMGOz5Cnb3oqlS9lodOuSyoXrwfzo27N9cEum1Vkjy2Atg7Bng4N8byMz2J3CI9F372t5TJP70Xpfo8qHbXOBw5ublRpiw8gcKnuFqvgz0Bj8O9ptFaOdTuV7ykORI-xf1VubkxIr3V9NE62nzLuLlIa7wBgyk9nlfSuM2ZKD38HF-9XYCvNmJkTj1xISo9mhwauFo0o718Wko9ciBsOA1mDTqdkIy8PTO2uBzvDj2d-4a8mAFIN-0IqzvlbZs8R8pYOPcBKD5wYd298We_udld4rpQt6K9EJtBuA2fujvPXFG9oUWutkCQgr2mvHE9oH71trMxBrsIr729HH2mt8r0cD0i4Ss-8cuKOFmWeTzFDGM9G7iOuG4Djb0naa49v_cWN68Mxb0j7hs9Bw3dtiAAOBNACUhtUAEqcxAAGmAr4gA-9PHz3Ab3-QrxQR6LqPnjBdD6__fW_-Up3w0NN73bACAAL_b42aAAAAA14vzzHAAAf6wBHCYNFw-YxN4PDWEAGDTXFgX6zrAw6gTn-_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-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-AAB0PgAAMb8AAIK-AACSPgAAPL4AAAy-AABQvQAALD4AANq-AABQvQAAkj4AAOi9AADqPgAAaz8AAG0_AABQvQAAtj4AAAS-AAAwvQAAQDwAAHw-AACWPgAARL4AADA9AAAUPgAAFL4AACQ-AADqPgAATL4AAAe_AAB0vgAAtr4AAM6-AAB8vgAAED0AAIi9AAAtPwAAzr4AAPi9AAA0vgAA4LwAANq-AABsvgAAE78AAJY-AADgPAAALD4AAGw-AABEPgAATL4AAH8_AAC4PQAAfL4AAHC9AAA8PgAAqD0AAKi9AAAkviAAOBNACUh8UAEqjwIQARqAAgAAmD0AAI4-AABcvgAAUb8AAKa-AAAEPgAA4j4AAEA8AACgvAAAoLwAAFA9AACKvgAAyL0AADy-AACYPQAAcL0AAEy-AADCPgAAir4AAFw-AADIPQAAZL4AAKC8AAC4vQAAqL0AADS-AACOvgAAoDwAAPi9AABEvgAABD4AAOA8AACKvgAAgLsAAMi9AADovQAAmD0AACw-AACWvgAATL4AANg9AACCPgAAJD4AADA9AABQPQAAUD0AAH-_AACqPgAA4j4AAIA7AADYPQAAmD0AAOC8AACmPgAAgDsAACQ-AABwvQAA-D0AAHC9AADgvAAA4DwAAIA7AAAsPgAA4LwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=4y_ohAh36Fw","parent-reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":480,"cratio":1.77916,"dups":["3456030751598459118"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2404889683"},"18279291429859779069":{"videoId":"18279291429859779069","docid":"34-11-15-ZA1A21316E3C80E33","description":"https://drive.google.com/file/d/1ahd_...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4076644/0e838fcb93fc2dc4e007104031c12f49/564x318_1"},"target":"_self","position":"16","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D9H3pdM0j4Sk","linkTemplate":"/video/preview/18279291429859779069?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Türevin TÜM İncelikleri İspatlari VE Neden Sorusunun Cevaplari (Kamp-13.Video)","related_orig_text":"ExMuslim Answers Hub","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ExMuslim Answers Hub\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=9H3pdM0j4Sk\",\"src\":\"serp\",\"rvb\":\"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_E7uiAYIEJAGABCsqiwEQARp4gQYB_v4D_QAD9PoJBwn7AvX4-_z5_f0A7fgRBQcBAAD17wr8_gAAAPoL-wMCAAAA-wMEBfX-AQAV-fP0AwAAAPsI__T2AAAA8Qjz-P8BAAAYEQr4AgAAABAG-BD_AAAA_AMBEQAAAAD1D_0TAAAAAADq9fYBAAAAIAAtx1rLOzgTQAlITlACKnMQABpgGgMASwznCAsZwecKEg8qstfk1d-l8v9JyQCtPfLk_iLt2OwXADIEBC2gAAAAS9nOCQkAyHDo9g_1DSwImwcE2yB_7TTY2z8VEfD467IG2kTfDS8LALz5M-0hEJkVCSnuIAAtSTUZOzgTQAlIb1ACKq8GEAwaoAYAAADBAAAUwgAAaEIAAOjBAACgQAAAZEIAANhBAAAcwgAAZMIAACBBAABgwQAAMEEAAODCAAC4wgAAQEEAAKjBAABAwgAAQMAAAKhBAAC8wgAAGEIAAATCAACgwQAAgEAAAPBBAACoQQAAEMIAALjBAABQQgAAhEIAAEDBAACEQgAAuMEAAABAAACIwgAAYEEAAJBBAAD4QQAA2EEAAATCAAAgQQAAhkIAAOBBAAAYQgAA6EEAAEDAAABQwQAAgMEAAFhCAADQwQAAkMEAAKjBAAAMwgAAEEEAAADCAAAswgAAAMEAAIA_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-AAAkPgAAiL0AAKg9AABAPAAAgr4AAOa-AADIPQAAmj4AANi9AAAsPgAA-D0AALo-AACavgAA6L0AAIg9AACgPAAAPD4AALI-AAB_PwAApr4AAES-AACoPQAAML0AAEC8AABQvQAA6L0AAOC8AABwPQAAVL4AAPi9AAA0PgAAED0AAMi9AACCvgAAgDsAANK-AADovQAADL4AAAQ-AAAcPgAAkj4AAMi9AAC4PQAAkr4AABy-AAB0PgAAcD0AAJi9AAB0PgAA4DwAAJY-AAD4vQAAhr4AAIA7AAAjPwAAEL0AAFA9AABQvQAAPL4AAAy-AAAwvQAAXD4gADgTQAlIfFABKo8CEAEagAIAADS-AAA8PgAALL4AAFm_AACIvQAAfD4AAII-AABwvQAA2L0AAJ4-AACgvAAAJL4AACS-AAAcvgAA4DwAAIi9AACWvgAAAT8AANq-AAAQvQAAEL0AADy-AACAOwAAND4AANi9AADIPQAAPL4AAOg9AABAPAAARL4AANg9AACAOwAAnr4AAIC7AAAsvgAAML0AANo-AAD4PQAAjr4AAOK-AACYvQAAgj4AAKg9AAC4PQAAND4AAHC9AAB_vwAAvj4AAM4-AAA0PgAAQLwAAPi9AAC-PgAAbD4AACy-AABwPQAAMD0AACQ-AAAwPQAABL4AAOg9AABcPgAADD4AADC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=9H3pdM0j4Sk","parent-reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["18279291429859779069"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"11485343103232693095":{"videoId":"11485343103232693095","docid":"34-11-9-Z692CD26655EB9AAE","description":"ergün hoca Udemy de !!! KURS 1- Limit- Süreklilik- Türevin Tanimi VE Uygulamalari 134 Video- 24,5 SAAT- 20 Deneme Sinavi- 110 SORU (Cevaplari İLE Birlikte) https://www.udemy.com/course/limit-su...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3086927/cfa5da69224aa95d54fb9edaa971a8ab/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/vN8-HwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=videoid:11485343103232693095","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitim içeriğidir. Eğitmen, geometrik seriler konusunu detaylı bir şekilde anlatmaktadır.","Video, geometrik serilerin yakınsaklık ve ıraksaklık durumlarını incelemektedir. Eğitmen önce teorik bilgileri vererek r'nin mutlak değeri 1'den küçük, 1'e eşit ve 1'den büyük durumlarda serilerin yakınsaklık durumlarını açıklar. Ardından kısmi toplamlar dizisi formülünü kullanarak serilerin toplamlarını hesaplama yöntemini gösterir. Video, geometrik serilerin toplamını bulma örnekleriyle devam eder ve bir sonraki videoda farklı geometrik seri örneklerinin çözüleceği belirtilir."]},"endTime":675,"title":"Geometrik Seriler Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Geometrik Serilerin Yakınsaklık ve İraksaklık Durumu","list":{"type":"unordered","items":["Geometrik serilerde r=1 olduğunda kısmi toplamlar dizisinin limiti mevcut olmadığı için seri ıraksaktır.","r=-1 olduğunda da kısmi toplamlar dizisinin limiti mevcut olmadığı için seri ıraksaktır.","r mutlak değeri 1'den farklı olduğunda, serinin yakınsak veya ıraksak olup olmadığı ortak çarpanın mutlak değerine bağlıdır."]},"beginTime":8,"endTime":257,"href":"/video/preview/11485343103232693095?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=8&ask_summarization=1"},{"index":1,"title":"Geometrik Serilerin Yakınsaklık Koşulu","list":{"type":"unordered","items":["Geometrik serinin genel terimi S_n = a(1-r^n)/(1-r) şeklinde ifade edilebilir.","Ortak çarpanın mutlak değeri 1'den küçükse (|r|\u003c1), serinin yakınsak olduğu ve yakınsadığı değerin (1-r)/r olduğu anlaşılır.","Ortak çarpanın mutlak değeri 1'den büyükse (|r|>1), serinin ıraksak olduğu anlaşılır."]},"beginTime":257,"endTime":369,"href":"/video/preview/11485343103232693095?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=257&ask_summarization=1"},{"index":2,"title":"Geometrik Seri Örnekleri","list":{"type":"unordered","items":["Geometrik serilerde terimlerin toplamı sorulduğunda, serinin yakınsak olup olmadığı ve yakınsadığı değer hesaplanabilir.","Örnek 1: 2(1+1/5+1/25+...+1/5^n) serisi, ortak çarpanı 1/5 olduğundan yakınsaktır ve toplamı 4/5'tir.","Örnek 2: 1/(1+1/3+1/9+...+1/3^n) serisi, ortak çarpanı 1/3 olduğundan yakınsaktır ve toplamı 3/2'dir."]},"beginTime":369,"endTime":662,"href":"/video/preview/11485343103232693095?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=369&ask_summarization=1"}],"linkTemplate":"/video/preview/11485343103232693095?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"4.2) Matematik(Kalkulus) - Seriler- Geometrik seri tanım ve incelemesi, örnekler","related_orig_text":"ExMuslim Answers Hub","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ExMuslim Answers Hub\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=OqcEgF-Uv9Q\",\"src\":\"serp\",\"rvb\":\"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_E6MFggQkAYAEKyqLARABGniB7vYHCAL-APX4BgkPBvwBCAMKCvf__wD0BgL_CAL_AADoCAEDAAAA-wb0_P8AAAAP-_4L9v8AAAsBAP_rAP8AAu_0AwMAAAAO_-wB_wEAAPwM9vcD_wAADfwEAP8AAAAUCwIO_gAAAAQBA_wAAAAADOv9CwEAAAAgAC2d_cw7OBNACUhOUAIqhAIQABrwAX_89f71_McErN22_8kw2wGQOS3__EDHAL3ZFgKSGLz-6B_VAOrPJv8kCywCzjHWAEDLxf72BBUASrrf__r3DQDlJiABB7ThAlUDHP_z5PMA1i0X_xixKgH9uNYABv3vABPb-fvjytz-8_DSB0HqKAIIKzgM__zy9OrNAAG69vcJ3PPO_A7_8wzNyw0AzSEoAv_YBfYS8v744B_w9v3kDQfp7Az_BCDdBhbBBP8m9ukH4kHt-RYX3vJCI-70s-j9-CXXJgLh4v4DGNn69B3aJfgK5-7uFf7uAisK_Agc_xQK_wnz6-8L7AzzxPT_0Q_u_yAALX2_7Do4E0AJSGFQAipzEAAaYB_fACX67dLnAu7-DNYiMc-X--oD2f7_CvP_2DzNHBc0sukAOABS8e7qnwAAAEntB_D1APR_tgM09gAkJ6St8wEZcQQVDcjzCADwyC0WFPwb-8sQNADl9ZEDcLKhFko97yAALc5EEjs4E0AJSG9QAiqvBhAMGqAGAAA0QgAAuMEAANhBAACcwgAA4MAAABTCAAB0QgAAIEEAAOjBAACAPwAAYEEAAIbCAABwwQAAQMAAAABBAACAvwAABEIAAADAAAC4QQAAmMEAAFTCAABYwgAAoMIAAAxCAAB8wgAA2MEAABjCAAAowgAAQEEAAMBBAABgwgAAgMEAAJzCAAAkQgAAsMIAAPjBAACYQQAAZEIAAMDAAABcQgAAqEEAAATCAADgQQAA-MEAAEBCAADOwgAA4MAAABhCAACgQQAAuEEAABTCAAAEwgAAoMEAAABCAACoQQAAFEIAAADDAACAQQAA2EEAACxCAAA0QgAAkMIAAOjBAABMwgAAQMEAAK7CAADQwQAARMIAAADAAAA8wgAAbEIAADhCAADIwQAAHEIAAJjBAABIwgAAYMEAAEDBAACQwQAAoEAAAKDBAACSQgAAAMEAAKDBAAAQwQAAhEIAAADAAAAAQQAA0EEAAIA_AAAAQQAAlkIAABTCAAAAAAAAuEEAAJDBAABgQQAAIEEAANhBAABEQgAAkMIAAKBBAAAcQgAABMIAAJjBAADAwAAAoMEAAABBAADwwQAASEIAAJhCAAAkQgAAAMEAABDBAACIwQAAwkIAACBBAAAQwgAAAEEAALjBAADgQAAAUMIAAIBAAAC4wQAAkEEAAChCAAAUwgAAYMEAAMDBAADoQQAA-MEAAMDAAABAQAAAQEIAABDBAACAQAAAoEAAADBCAACgwQAAssIAAMBBAACIQQAADEIAANjBAABwQgAAUEEAAADAAAD4wQAAgMEAAIA_AADAwAAAIEIAAIBCAAAIwgAAYMEAAGDBAAAswgAA8MEAAITCAAAQQQAAfMIAAGRCAACIQQAAoMAAACBBAAAsQgAAAMEAAK5CAACKQgAAkMEAALjBAABQQgAAmEEAABDBAAB4wgAA4EEAAIDAAACgQAAAmEEAANZCAABYwgAArMIAAKDBAAAIwgAAaEIAAKjBAADAwQAAQMEAACDCAAAAwAAAIEEAAAjCAAAwwQAAcMEAAABAAABAQgAA6MEAAADBAACYwQAAgsIgADgTQAlIdVABKo8CEAAagAIAAEy-AAAwPQAAgLsAAKA8AAAkPgAAdD4AAIC7AAAPvwAADL4AAFw-AADovQAAiD0AADQ-AACoPQAAmr4AAOA8AACuPgAAuL0AAKI-AACuPgAAfz8AABS-AAAcPgAA4DwAADQ-AAAwPQAAUL0AAIC7AAAQPQAA6D0AAAQ-AAAEvgAA-D0AAIi9AABQPQAAJL4AALi9AACGvgAAdL4AAFS-AABwPQAAJD4AAIo-AAB0vgAAPD4AAJ6-AACgPAAAPL4AAFC9AAB8vgAAND4AAKK-AABkPgAALL4AAKY-AADgvAAACz8AAKi9AAC4vQAAML0AAMi9AABAvAAAiL0AAAQ-IAA4E0AJSHxQASqPAhABGoACAABAvAAAdD4AAMi9AABNvwAAXL4AAPg9AAB0PgAAED0AABC9AAAcPgAAMD0AAGy-AADYvQAABL4AAKA8AACovQAAmL0AAA8_AAB8vgAAjj4AAEC8AAB8vgAAED0AACS-AABQvQAAoLwAADS-AACAOwAAqL0AABA9AACYPQAAMD0AAHy-AADgPAAAQLwAAIi9AACAOwAA-D0AAFS-AADIvQAAuD0AAHA9AAAwPQAAiD0AAAy-AADYPQAAf78AABw-AACAuwAAED0AAFA9AAD4PQAARD4AAEw-AACYvQAAiD0AAIC7AAAUPgAAgLsAACS-AAAwPQAA4DwAAPg9AADgvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=OqcEgF-Uv9Q","parent-reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["11485343103232693095"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"645712262"},"10007417705928070619":{"videoId":"10007417705928070619","docid":"34-4-11-ZFAEFB6E1635FEEEF","description":"ergün hoca Udemy de !!! KURS 1- Limit- Süreklilik- Türevin Tanimi VE Uygulamalari 134 Video- 24,5 SAAT- 20 Deneme Sinavi- 110 SORU (Cevaplari İLE Birlikte) https://www.udemy.com/course/limit-su...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1774514/22ea7d084eec0d873662e656bfd77e7b/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/nPnvJwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=videoid:10007417705928070619","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitim içeriğidir. Eğitmen, üçüncü dereceden bir polinom fonksiyonunun (f(x) = x³ - 3x) grafiğini çizme sürecini adım adım anlatmaktadır.","Videoda, fonksiyonun tanım kümesi, asimptotları, eksenleri kestiği noktalar, kritik noktalar, maksimum-minimum değerleri ve eğrilik noktaları gibi konular ele alınmaktadır. Eğitmen önce teorik bilgileri hatırlatarak başlıyor, ardından f(x) fonksiyonunun türevlerini alarak kritik noktaları buluyor ve son olarak bu bilgileri kullanarak fonksiyonun grafiğini çiziyor. Video, bir sonraki derste kareköklü bir ifadeyi çözeceğini belirterek sona eriyor."]},"endTime":636,"title":"Üçüncü Dereceden Polinom Fonksiyonunun Grafiği Çizimi","beginTime":0}],"fullResult":[{"index":0,"title":"Üçüncü Dereceden Polinom Fonksiyonunun Analizi","list":{"type":"unordered","items":["Üçüncü dereceden bir polinom fonksiyonu olan f(x) = x³ - 3x fonksiyonunun grafiği incelenecek.","Polinom olduğundan tanım kümesi tüm reel sayılar olup, (-∞, +∞) aralığında yer alır.","Fonksiyonun düşey, yatay veya eğik asimptotu yoktur çünkü limit değerleri (-∞'de -∞, +∞'de +∞) olarak sonsuza gider."]},"beginTime":9,"endTime":95,"href":"/video/preview/10007417705928070619?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=9&ask_summarization=1"},{"index":1,"title":"Eksenleri Kesme Noktaları ve Türevler","list":{"type":"unordered","items":["Fonksiyonun x eksenini kestiği noktalar x = 0, x = -√3 ve x = +√3'tür.","Birinci türevi f'(x) = 3x² - 3 olup, kritik noktaları x = -1 ve x = 1'dir.","İkinci türevi f''(x) = 6x² olup, kritik noktası x = 0'dır ve burada eğrilik kolları yön değiştirir."]},"beginTime":95,"endTime":269,"href":"/video/preview/10007417705928070619?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=95&ask_summarization=1"},{"index":2,"title":"Fonksiyonun Davranışının Analizi","list":{"type":"unordered","items":["Fonksiyonun grafiği için tablo oluşturulur ve kritik noktalar belirlenir.","Fonksiyon (-∞, -√3) ve (0, +√3) aralıklarında artar, (-√3, -1) ve (1, +√3) aralıklarında azalır.","x = -1'de bölgesel maksimum, x = 0'da dönüm noktası ve x = +√3'te bölgesel minimum oluşturur."]},"beginTime":269,"endTime":437,"href":"/video/preview/10007417705928070619?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=269&ask_summarization=1"},{"index":3,"title":"Fonksiyonun Grafiğinin Çizimi","list":{"type":"unordered","items":["Fonksiyon (-∞, -√3) aralığında artarak x = -√3'te sıfıra ulaşır.","x = -1'de bölgesel maksimum oluşturur, x = 0'da eğrilik kolları yön değiştirir ve x = +√3'te bölgesel minimum oluşturur.","Fonksiyon (+∞, +∞) aralığında artarak sonsuza gider."]},"beginTime":437,"endTime":627,"href":"/video/preview/10007417705928070619?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=437&ask_summarization=1"}],"linkTemplate":"/video/preview/10007417705928070619?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"51) Matematik 1(Calculus 1) - Türevin Uygulamaları- Eğri Çizimi - Sorular 2","related_orig_text":"ExMuslim Answers Hub","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ExMuslim Answers Hub\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=CopeRHEY1Ws\",\"src\":\"serp\",\"rvb\":\"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_E_wEggQkAYAEKyqLARABGniB9-oLAQT7APf28Q8ICPwCDf76Cfb__wDxAPgOBQL_APn09_v4AAAA_RX68gQAAAAA-_AO-P0AAA3_6_sCAAAA__sA-foAAAAHA_UB_wEAAPcL_vwD_wAADgELBQAAAAAFBv____8AAP__-w4AAAAA-eQBCgAAAAAgAC320cU7OBNACUhOUAIqhAIQABrwAWgGCwDs3fkBsvjRANYk5AGBIgr-_THVAL_76gDXDb8B7gbrAOsKDQAkICn_s_7oATDY0__60gIAK74LAi3q-ADbEBQBGOr2ATUPFgLx5BH-zwUb_xLeGwD33NT_G__c_wXs-gLn_NsD7gPFAiL8LAHuHBADJO4AAfHpDAHhAgoBDQTi_Rcd-gTx3__62hkeAgLe9QIUEgj62BL0_QbsD_b17vj5GCz8_Rb4BwgdC_QC5AP_BBfv7Af7HxL52ff09trzKwXo6f8CA90A_Brg_gEF--_9GOrt-w7-_vz22gD84e769-kCAQgF5-n_7_b4_yAALf8hHTs4E0AJSGFQAirPBxAAGsAH8S3kvjPFNz31Rxy8JV3Tvc14Nr0kZqG9S9O2vZbLKz2s7ge9PtDqPZnO8zydh1G79pZivgV4gTx5Pw28mN0jPoFJkL1D9PW8hzQqvp5pqD22cmW8y4NUvppVqbwRmpM8IuSXPaqgfb2EAMs7wX6-PfL3wb0XrW288Eq3PHJSOD2POU-86-Z9vYmukL3-HiM8_tVDPWA-eb181rU8bEhXPbHs-LxUhpa8xMF0PfwcvLoOsYu7lmT4vELenD3xdgK6dWYsPaaLwzz_dKg8cDruvDpauDtY3-W8l1fOvaCpMrwQ_Lm8QQsJPb7sSD0RSqm8aTPzPB5v8r3XJdM6qMghvgJ8HD3o6W083WA4PimmXD3jGz467-SzvfeRmz3N_bq8G9xxPcH6RL3MYmK8APKEPYkrAj34Ky48My02PSAqTT2lKx47kCQQvBDfoz2mYgM9BynYPf9Z87ygibC8llmpPKIBhjzAPbI7ft0uvSmnRz13SX87bayEPB0QNz2zW3A87N7KPFOeDz3hqnw8xTVDPfhRDb4Jbyy7dfhVvcH-K70XKn-8J7ZnPYjO27tKiKi8Wz6XPfikw72o1Dq7LzKiOxQU9bwY9os7364RPEyp67293dQ77MmCvd4oKD2hwDc7NJGIvfSmYj1-Ztq7_tm6PSsSAz7LsVu5mTbSvLxazr0YnC86FHkSPStaLz0k-xS7z35JPN1cXD2CV8Y5SQ59PUXA_LwrMte7jUEKPEB1ILxEaCk7H01QvQZZAL04ixM67nScPazizb0q_7058oV_PO0gQLzzOuI4uh2QvCY-kjxFtjk6MU2Ju40dRLqLgqg4qz2RvRpSFb4wUQo6pRVfPIb5jD3f9yc5O7-dPeCHXjznV664aBaivdZ1g7wDJZM5zPvuvFY9CTu7u5a5gqg7PRTKZzzUXCQ4RLjuPJkEeT2QrTq5DxYEvVx4GjzMrl247sCKvKUhtDyJ-6k3mLRSOz9wxb33LmA5CoCxvCcX4z1iYJK5LZ7wvHbjXTzFxlG4jikzvOW05zxrNLa43ln7PNjxn70YDZc457FhPe1ffj0IQyC4SlGovWNu7Tz7BT44btRUPLREnbwz5wA4jWzdPICwPb3bamw47QirO-VtmzxHylg41GDaPQfjkb3Hl0-5hd5MvVSojr3qysO41bl9PIwTH71xczC1vEEvvSWiCT3Nv2Y45NWevHqJ8b1lVTC4yvRwPSLhKz7xy4o47ZZGOnXopD0KbuO4tBbAvVQ0uz08X7I4lMygvSwGND26LYI3IAA4E0AJSG1QASpzEAAaYD3lADYE-_Ly9PXyF94sI5io3toM1gT_DeD_1C3uFwQvtcMPIAAs_P3wnwAAADvXAOAqAAh-xe4NIwwEJLa86gwKZxQRPMIFGffgqkn1IADx_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_AAAEwgAAYMEAAMBAAAAAwQAAAEIAAIJCAAAUwgAAUMEAAJDBAAAkwgAA2MEAAILCAAAwQQAAgMIAAHxCAACYQQAAoMAAAJBBAAAoQgAAoMAAAKhCAACIQgAAyMEAAHDBAABYQgAAiEEAAFDBAABkwgAA-EEAAAAAAABAwAAA4EEAANhCAAB0wgAAoMIAAIDBAAAIwgAAcEIAALDBAADwwQAAQMAAABzCAACgQAAAMEEAAADCAAAQwQAAAAAAAMDAAAAsQgAAAMIAAIDAAACgwQAAksIgADgTQAlIdVABKo8CEAAagAIAALi9AAAsPgAAZL4AAFC9AACAuwAABT8AALI-AABpvwAA3r4AAIY-AABcvgAAVL4AAJK-AAA8PgAAC78AAIq-AACWPgAAyL0AAMo-AABnPwAAfz8AAFS-AAAMPgAAbL4AALi9AABkvgAAHD4AAMg9AADovQAA2D0AAGQ-AACCvgAAfD4AAOo-AACovQAA3r4AAJi9AADKvgAAzr4AAJq-AAAQPQAAQLwAACc_AAC6vgAAiD0AAAm_AAC4vQAArr4AAOC8AADuvgAAfD4AAOi9AACAOwAAdD4AANg9AAAUvgAAXT8AAKA8AACivgAAgLsAAJi9AAB8PgAA-D0AAHC9IAA4E0AJSHxQASqPAhABGoACAABAvAAAVD4AABy-AABFvwAAgr4AAOA8AACKPgAA4DwAAIi9AAAEPgAAiD0AABS-AABQvQAAyL0AAIg9AACYvQAAZL4AAP4-AABEvgAAlj4AAIC7AAAkvgAA2L0AABS-AACIvQAALL4AAKi9AADgvAAA2L0AAEA8AACYPQAAMD0AAIa-AABQvQAAiL0AAPi9AABAvAAARD4AAJq-AADovQAAcL0AALg9AABwPQAAqD0AAFA9AAAQvQAAf78AAEw-AAB8PgAAqL0AAKg9AABQPQAAED0AADw-AAAQPQAA2D0AAKC8AAD4PQAAgDsAAIA7AADYPQAAED0AACQ-AAAEviAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=CopeRHEY1Ws","parent-reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":480,"cratio":1.77916,"dups":["10007417705928070619"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2910954176"}},"dups":{"4201703280329326629":{"videoId":"4201703280329326629","title":"\u0007[Exmuslim\u0007] \u0007[Answers\u0007] 80+ Questions! (Impossible)","cleanTitle":"Exmuslim Answers 80+ Questions! (Impossible)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=9O3LTSsh9OQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/9O3LTSsh9OQ?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDQ1V2cGNXMzBreU1KR0lnSTRMdG1rUQ==","name":"Apostate Aladdin","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Apostate+Aladdin","origUrl":"http://www.youtube.com/@ApostateAladdin","a11yText":"Apostate Aladdin. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":7325,"text":"2:02:05","a11yText":"Süre 2 saat 2 dakika 5 saniye","shortText":"2 sa. 2 dk."},"views":{"text":"19,7bin","a11yText":"19,7 bin izleme"},"date":"24 kas 2023","modifyTime":1700848951000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/9O3LTSsh9OQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=9O3LTSsh9OQ","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","duration":7325},"parentClipId":"4201703280329326629","href":"/preview/4201703280329326629?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","rawHref":"/video/preview/4201703280329326629?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"4654810889162921072":{"videoId":"4654810889162921072","title":"What is an "\u0007[Exmuslim\u0007]"?","cleanTitle":"What is an "Exmuslim"?","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ToEnqF_nJ28","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ToEnqF_nJ28?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDQ1V2cGNXMzBreU1KR0lnSTRMdG1rUQ==","name":"Apostate Aladdin","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Apostate+Aladdin","origUrl":"http://www.youtube.com/@ApostateAladdin","a11yText":"Apostate Aladdin. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":603,"text":"10:03","a11yText":"Süre 10 dakika 3 saniye","shortText":"10 dk."},"date":"16 şub 2024","modifyTime":1708105027000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ToEnqF_nJ28?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ToEnqF_nJ28","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","duration":603},"parentClipId":"4654810889162921072","href":"/preview/4654810889162921072?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","rawHref":"/video/preview/4654810889162921072?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"4526161353525567050":{"videoId":"4526161353525567050","title":"37) Matematik 1(Calculus 1) - Türevin Uygulamaları- Düşey ve Yatay Asimptotlar- Asimptot Soruları 1","cleanTitle":"37) Matematik 1(Calculus 1) - Türevin Uygulamaları- Düşey ve Yatay Asimptotlar- Asimptot Soruları 1","host":{"title":"YouTube","href":"http://www.youtube.com/live/H0c9wVCR7Ds","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/H0c9wVCR7Ds?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM2FWSGZIdDdQZ0pwRUc4SktjRTdoQQ==","name":"matematiksel terapi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=matematiksel+terapi","origUrl":"http://www.youtube.com/@matematikselterapi1017","a11yText":"matematiksel terapi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":688,"text":"11:28","a11yText":"Süre 11 dakika 28 saniye","shortText":"11 dk."},"views":{"text":"32,4bin","a11yText":"32,4 bin izleme"},"date":"26 nis 2017","modifyTime":1493164800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/H0c9wVCR7Ds?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=H0c9wVCR7Ds","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","duration":688},"parentClipId":"4526161353525567050","href":"/preview/4526161353525567050?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","rawHref":"/video/preview/4526161353525567050?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"11669527105892133637":{"videoId":"11669527105892133637","title":"Ahmad \u0007[ExMuslim\u0007] Debated 5Muslim About Who is the Sinner |Educational Purposes @followthebest","cleanTitle":"Ahmad ExMuslim Debated 5Muslim About Who is the Sinner |Educational Purposes @followthebest","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=5n0KmTOb70E","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/5n0KmTOb70E?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZUVyWHdJd05ScXRrRkhoT0NnbE9Pdw==","name":"Follow The Best","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Follow+The+Best","origUrl":"http://www.youtube.com/@followthebest","a11yText":"Follow The Best. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":6835,"text":"1:53:55","a11yText":"Süre 1 saat 53 dakika 55 saniye","shortText":"1 sa. 53 dk."},"views":{"text":"1,9bin","a11yText":"1,9 bin izleme"},"date":"24 şub 2023","modifyTime":1677207609000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/5n0KmTOb70E?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=5n0KmTOb70E","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","duration":6835},"parentClipId":"11669527105892133637","href":"/preview/11669527105892133637?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","rawHref":"/video/preview/11669527105892133637?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"18208541705028303073":{"videoId":"18208541705028303073","title":"25) Matematik 1(Calculus 1) - Türevin Uygulamaları- Ekstremum Soruları 6","cleanTitle":"25) Matematik 1(Calculus 1) - Türevin Uygulamaları- Ekstremum Soruları 6","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=BCQdNQhd0YI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/BCQdNQhd0YI?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM2FWSGZIdDdQZ0pwRUc4SktjRTdoQQ==","name":"matematiksel terapi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=matematiksel+terapi","origUrl":"http://www.youtube.com/@matematikselterapi1017","a11yText":"matematiksel terapi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":496,"text":"8:16","a11yText":"Süre 8 dakika 16 saniye","shortText":"8 dk."},"views":{"text":"10,1bin","a11yText":"10,1 bin izleme"},"date":"25 nis 2017","modifyTime":1493078400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/BCQdNQhd0YI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=BCQdNQhd0YI","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","duration":496},"parentClipId":"18208541705028303073","href":"/preview/18208541705028303073?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","rawHref":"/video/preview/18208541705028303073?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"17928227239594594193":{"videoId":"17928227239594594193","title":"27) Matematik 1(Calculus 1) - Türevin Uygulamaları- Ekstremum Soruları 8","cleanTitle":"27) Matematik 1(Calculus 1) - Türevin Uygulamaları- Ekstremum Soruları 8","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=XzLmHFhjgtI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/XzLmHFhjgtI?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM2FWSGZIdDdQZ0pwRUc4SktjRTdoQQ==","name":"matematiksel terapi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=matematiksel+terapi","origUrl":"http://www.youtube.com/@matematikselterapi1017","a11yText":"matematiksel terapi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":490,"text":"8:10","a11yText":"Süre 8 dakika 10 saniye","shortText":"8 dk."},"views":{"text":"9,7bin","a11yText":"9,7 bin izleme"},"date":"25 nis 2017","modifyTime":1493078400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/XzLmHFhjgtI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=XzLmHFhjgtI","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","duration":490},"parentClipId":"17928227239594594193","href":"/preview/17928227239594594193?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","rawHref":"/video/preview/17928227239594594193?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"4004848744048118151":{"videoId":"4004848744048118151","title":"35) Matematik 1(Calculus 1) - Türevin Uygulamaları- Ekstremum Soruları 16","cleanTitle":"35) Matematik 1(Calculus 1) - Türevin Uygulamaları- Ekstremum Soruları 16","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=IEw9cjENq-o","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/IEw9cjENq-o?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM2FWSGZIdDdQZ0pwRUc4SktjRTdoQQ==","name":"matematiksel terapi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=matematiksel+terapi","origUrl":"http://www.youtube.com/@matematikselterapi1017","a11yText":"matematiksel terapi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":603,"text":"10:03","a11yText":"Süre 10 dakika 3 saniye","shortText":"10 dk."},"views":{"text":"9,5bin","a11yText":"9,5 bin izleme"},"date":"26 nis 2017","modifyTime":1493164800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/IEw9cjENq-o?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=IEw9cjENq-o","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","duration":603},"parentClipId":"4004848744048118151","href":"/preview/4004848744048118151?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","rawHref":"/video/preview/4004848744048118151?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"3469535475536181902":{"videoId":"3469535475536181902","title":"4) Türevin tanımını kullanarak çözülen sorular 3- Türev- Calculus 1","cleanTitle":"4) Türevin tanımını kullanarak çözülen sorular 3- Türev- Calculus 1","host":{"title":"YouTube","href":"http://www.youtube.com/live/XtRjUUoibYw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/XtRjUUoibYw?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM2FWSGZIdDdQZ0pwRUc4SktjRTdoQQ==","name":"matematiksel terapi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=matematiksel+terapi","origUrl":"http://www.youtube.com/@matematikselterapi1017","a11yText":"matematiksel terapi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":745,"text":"12:25","a11yText":"Süre 12 dakika 25 saniye","shortText":"12 dk."},"views":{"text":"59,4bin","a11yText":"59,4 bin izleme"},"date":"20 nis 2017","modifyTime":1492646400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/XtRjUUoibYw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=XtRjUUoibYw","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","duration":745},"parentClipId":"3469535475536181902","href":"/preview/3469535475536181902?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","rawHref":"/video/preview/3469535475536181902?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"11294882030656541510":{"videoId":"11294882030656541510","title":"23) Matematik 1(Calculus 1) - Türevin Uygulamaları- Ekstremum Soruları 4","cleanTitle":"23) Matematik 1(Calculus 1) - Türevin Uygulamaları- Ekstremum Soruları 4","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=RV9Ya71qYeA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/RV9Ya71qYeA?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM2FWSGZIdDdQZ0pwRUc4SktjRTdoQQ==","name":"matematiksel terapi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=matematiksel+terapi","origUrl":"http://www.youtube.com/@matematikselterapi1017","a11yText":"matematiksel terapi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":601,"text":"10:01","a11yText":"Süre 10 dakika 1 saniye","shortText":"10 dk."},"views":{"text":"11,8bin","a11yText":"11,8 bin izleme"},"date":"25 nis 2017","modifyTime":1493078400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/RV9Ya71qYeA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=RV9Ya71qYeA","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","duration":601},"parentClipId":"11294882030656541510","href":"/preview/11294882030656541510?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","rawHref":"/video/preview/11294882030656541510?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"15873447020367102066":{"videoId":"15873447020367102066","title":"15) Matematik 1(Calculus 1) - Türevin Uygulamaları- Artan-Azalan Fonksiyonlar Sorular 2","cleanTitle":"15) Matematik 1(Calculus 1) - Türevin Uygulamaları- Artan-Azalan Fonksiyonlar Sorular 2","host":{"title":"YouTube","href":"http://www.youtube.com/live/rVZjU1D_5PE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/rVZjU1D_5PE?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM2FWSGZIdDdQZ0pwRUc4SktjRTdoQQ==","name":"matematiksel terapi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=matematiksel+terapi","origUrl":"http://www.youtube.com/@matematikselterapi1017","a11yText":"matematiksel terapi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":617,"text":"10:17","a11yText":"Süre 10 dakika 17 saniye","shortText":"10 dk."},"views":{"text":"16,5bin","a11yText":"16,5 bin izleme"},"date":"24 nis 2017","modifyTime":1492992000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/rVZjU1D_5PE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=rVZjU1D_5PE","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","duration":617},"parentClipId":"15873447020367102066","href":"/preview/15873447020367102066?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","rawHref":"/video/preview/15873447020367102066?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"6405994210853324097":{"videoId":"6405994210853324097","title":"38) Matematik 1(Calculus 1) - Türevin Uygulamaları- Eğik ve Eğri Asimptotlar- Asimptot Soruları 2","cleanTitle":"38) Matematik 1(Calculus 1) - Türevin Uygulamaları- Eğik ve Eğri Asimptotlar- Asimptot Soruları 2","host":{"title":"YouTube","href":"http://www.youtube.com/live/gVgkX5bN43E","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/gVgkX5bN43E?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM2FWSGZIdDdQZ0pwRUc4SktjRTdoQQ==","name":"matematiksel terapi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=matematiksel+terapi","origUrl":"http://www.youtube.com/@matematikselterapi1017","a11yText":"matematiksel terapi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":932,"text":"15:32","a11yText":"Süre 15 dakika 32 saniye","shortText":"15 dk."},"views":{"text":"24,1bin","a11yText":"24,1 bin izleme"},"date":"26 nis 2017","modifyTime":1493164800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/gVgkX5bN43E?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=gVgkX5bN43E","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","duration":932},"parentClipId":"6405994210853324097","href":"/preview/6405994210853324097?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","rawHref":"/video/preview/6405994210853324097?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"16587588360804425445":{"videoId":"16587588360804425445","title":"18) Matematik 1(Calculus 1) - Türevin Uygulamaları- Maksimum-Minimum Değerler-Tanıtım 1","cleanTitle":"18) Matematik 1(Calculus 1) - Türevin Uygulamaları- Maksimum-Minimum Değerler-Tanıtım 1","host":{"title":"YouTube","href":"http://www.youtube.com/live/5ofny5oC1lk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/5ofny5oC1lk?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM2FWSGZIdDdQZ0pwRUc4SktjRTdoQQ==","name":"matematiksel terapi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=matematiksel+terapi","origUrl":"http://www.youtube.com/@matematikselterapi1017","a11yText":"matematiksel terapi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":691,"text":"11:31","a11yText":"Süre 11 dakika 31 saniye","shortText":"11 dk."},"views":{"text":"19,9bin","a11yText":"19,9 bin izleme"},"date":"25 nis 2017","modifyTime":1493123754000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/5ofny5oC1lk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=5ofny5oC1lk","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","duration":691},"parentClipId":"16587588360804425445","href":"/preview/16587588360804425445?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","rawHref":"/video/preview/16587588360804425445?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"12951222904756636794":{"videoId":"12951222904756636794","title":"3) Matematik 1(Calculus 1) - Türev- Türevin tanımını kullanarak çözülen sorular 2","cleanTitle":"3) Matematik 1(Calculus 1) - Türev- Türevin tanımını kullanarak çözülen sorular 2","host":{"title":"YouTube","href":"http://www.youtube.com/live/EA2uHjCMOYM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/EA2uHjCMOYM?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM2FWSGZIdDdQZ0pwRUc4SktjRTdoQQ==","name":"matematiksel terapi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=matematiksel+terapi","origUrl":"http://www.youtube.com/@matematikselterapi1017","a11yText":"matematiksel terapi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":610,"text":"10:10","a11yText":"Süre 10 dakika 10 saniye","shortText":"10 dk."},"views":{"text":"75,1bin","a11yText":"75,1 bin izleme"},"date":"20 nis 2017","modifyTime":1492646400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/EA2uHjCMOYM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=EA2uHjCMOYM","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","duration":610},"parentClipId":"12951222904756636794","href":"/preview/12951222904756636794?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","rawHref":"/video/preview/12951222904756636794?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"3456030751598459118":{"videoId":"3456030751598459118","title":"30) Matematik 1(Calculus 1) - Türevin Uygulamaları- Ekstremum Soruları 11","cleanTitle":"30) Matematik 1(Calculus 1) - Türevin Uygulamaları- Ekstremum Soruları 11","host":{"title":"YouTube","href":"http://www.youtube.com/live/4y_ohAh36Fw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/4y_ohAh36Fw?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM2FWSGZIdDdQZ0pwRUc4SktjRTdoQQ==","name":"matematiksel terapi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=matematiksel+terapi","origUrl":"http://www.youtube.com/@matematikselterapi1017","a11yText":"matematiksel terapi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":668,"text":"11:08","a11yText":"Süre 11 dakika 8 saniye","shortText":"11 dk."},"views":{"text":"8,8bin","a11yText":"8,8 bin izleme"},"date":"26 nis 2017","modifyTime":1493164800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/4y_ohAh36Fw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=4y_ohAh36Fw","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","duration":668},"parentClipId":"3456030751598459118","href":"/preview/3456030751598459118?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","rawHref":"/video/preview/3456030751598459118?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"18279291429859779069":{"videoId":"18279291429859779069","title":"Türevin TÜM İncelikleri İspatlari VE Neden Sorusunun Cevaplari (Kamp-13.Video)","cleanTitle":"Türevin TÜM İncelikleri İspatlari VE Neden Sorusunun Cevaplari (Kamp-13.Video)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=9H3pdM0j4Sk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/9H3pdM0j4Sk?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDaVoxWnNETjZFV29zLVcwM1dEOFVPZw==","name":"KADİR YİĞİT AKADEMİ-ACİL MATEMATİK","isVerified":false,"subscribersCount":0,"url":"/video/search?text=KAD%C4%B0R+Y%C4%B0%C4%9E%C4%B0T+AKADEM%C4%B0-AC%C4%B0L+MATEMAT%C4%B0K","origUrl":"http://www.youtube.com/@KAD%C4%B0RY%C4%B0%C4%9E%C4%B0TAKADEM%C4%B0","a11yText":"KADİR YİĞİT AKADEMİ-ACİL MATEMATİK. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":20795,"text":"5:46:35","a11yText":"Süre 5 saat 46 dakika 35 saniye","shortText":"5 sa. 46 dk."},"views":{"text":"3,8bin","a11yText":"3,8 bin izleme"},"date":"9 ara 2025","modifyTime":1765231603000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/9H3pdM0j4Sk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=9H3pdM0j4Sk","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","duration":20795},"parentClipId":"18279291429859779069","href":"/preview/18279291429859779069?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","rawHref":"/video/preview/18279291429859779069?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"11485343103232693095":{"videoId":"11485343103232693095","title":"4.2) Matematik(Kalkulus) - Seriler- Geometrik seri tanım ve incelemesi, örnekler","cleanTitle":"4.2) Matematik(Kalkulus) - Seriler- Geometrik seri tanım ve incelemesi, örnekler","host":{"title":"YouTube","href":"http://www.youtube.com/live/OqcEgF-Uv9Q","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/OqcEgF-Uv9Q?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM2FWSGZIdDdQZ0pwRUc4SktjRTdoQQ==","name":"matematiksel terapi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=matematiksel+terapi","origUrl":"http://www.youtube.com/@matematikselterapi1017","a11yText":"matematiksel terapi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":675,"text":"11:15","a11yText":"Süre 11 dakika 15 saniye","shortText":"11 dk."},"views":{"text":"24,2bin","a11yText":"24,2 bin izleme"},"date":"10 şub 2017","modifyTime":1486684800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/OqcEgF-Uv9Q?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=OqcEgF-Uv9Q","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","duration":675},"parentClipId":"11485343103232693095","href":"/preview/11485343103232693095?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","rawHref":"/video/preview/11485343103232693095?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"10007417705928070619":{"videoId":"10007417705928070619","title":"51) Matematik 1(Calculus 1) - Türevin Uygulamaları- Eğri Çizimi - Sorular 2","cleanTitle":"51) Matematik 1(Calculus 1) - Türevin Uygulamaları- Eğri Çizimi - Sorular 2","host":{"title":"YouTube","href":"http://www.youtube.com/live/CopeRHEY1Ws","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/CopeRHEY1Ws?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM2FWSGZIdDdQZ0pwRUc4SktjRTdoQQ==","name":"matematiksel terapi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=matematiksel+terapi","origUrl":"http://www.youtube.com/@matematikselterapi1017","a11yText":"matematiksel terapi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":636,"text":"10:36","a11yText":"Süre 10 dakika 36 saniye","shortText":"10 dk."},"views":{"text":"18,2bin","a11yText":"18,2 bin izleme"},"date":"27 nis 2017","modifyTime":1493251200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/CopeRHEY1Ws?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=CopeRHEY1Ws","reqid":"1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL","duration":636},"parentClipId":"10007417705928070619","href":"/preview/10007417705928070619?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","rawHref":"/video/preview/10007417705928070619?parent-reqid=1776614210321696-4412386884307615110-balancer-l7leveler-kubr-yp-klg-152-BAL&text=ExMuslim+Answers+Hub","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x906f9600bf4","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"4123868843076151107152","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"ExMuslim Answers Hub","queryUriEscaped":"ExMuslim%20Answers%20Hub","filterMode":1,"isUserChild":false,"advInstreamConfig":{"regular":{"default":{"category":"2","impId":"7","partnerId":"2216089","vmapScenarioId":"119"}},"adult":{"default":{"category":"3","impId":"4","partnerId":"1988486","vmapScenarioId":"119"}}}},"playbackQueue":{"currentIndex":0,"items":[]},"related":{"items":[],"pages":[],"loadingStatus":"None","nextPageNum":0,"ncrnd":0},"playlist":{"items":{}},"delayedViews":{"ids":[],"loadingStatus":"None"}}}