{"pages":{"search":{"query":"ILL MAT - Topic","originalQuery":"ILL MAT - Topic","serpid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","parentReqid":"","serpItems":[{"id":"15245469387680958149-0-0","type":"videoSnippet","props":{"videoId":"15245469387680958149"},"curPage":0},{"id":"9021089309611508987-0-1","type":"videoSnippet","props":{"videoId":"9021089309611508987"},"curPage":0},{"id":"18258913014241012468-0-2","type":"videoSnippet","props":{"videoId":"18258913014241012468"},"curPage":0},{"id":"6538981202598713059-0-3","type":"videoSnippet","props":{"videoId":"6538981202598713059"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dElMTCBNQVQgLSBUb3BpYwo=","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","ui":"desktop","yuid":"2999404521769526630"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"13935788228454550144-0-5","type":"videoSnippet","props":{"videoId":"13935788228454550144"},"curPage":0},{"id":"7012352019153851521-0-6","type":"videoSnippet","props":{"videoId":"7012352019153851521"},"curPage":0},{"id":"10405551666389587790-0-7","type":"videoSnippet","props":{"videoId":"10405551666389587790"},"curPage":0},{"id":"12408381090660532403-0-8","type":"videoSnippet","props":{"videoId":"12408381090660532403"},"curPage":0},{"id":"1389943109375860163-0-9","type":"videoSnippet","props":{"videoId":"1389943109375860163"},"curPage":0},{"id":"13255148618240898279-0-10","type":"videoSnippet","props":{"videoId":"13255148618240898279"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dElMTCBNQVQgLSBUb3BpYwo=","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","ui":"desktop","yuid":"2999404521769526630"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"1504965499015783271-0-12","type":"videoSnippet","props":{"videoId":"1504965499015783271"},"curPage":0},{"id":"3566519597051716301-0-13","type":"videoSnippet","props":{"videoId":"3566519597051716301"},"curPage":0},{"id":"9287033706963680728-0-14","type":"videoSnippet","props":{"videoId":"9287033706963680728"},"curPage":0},{"id":"11083612843147986377-0-15","type":"videoSnippet","props":{"videoId":"11083612843147986377"},"curPage":0},{"id":"12713264085208090814-0-16","type":"videoSnippet","props":{"videoId":"12713264085208090814"},"curPage":0},{"id":"3392716637069008046-0-17","type":"videoSnippet","props":{"videoId":"3392716637069008046"},"curPage":0},{"id":"787859093992507130-0-18","type":"videoSnippet","props":{"videoId":"787859093992507130"},"curPage":0},{"id":"17356332168589651601-0-19","type":"videoSnippet","props":{"videoId":"17356332168589651601"},"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,"isFeedbackModalVisible":false,"correction":{"items":[{"kind":"misspell","url":"/video/search?text=H%C4%B0LL%20MATH%20-%20Topics","params":{"text":"HİLL MATH - Topics"},"query":"\u0007(Hİ\u0007)LL MAT\u0007(H\u0007) - Topic\u0007(s\u0007)","helpUrl":"https://yandex.com.tr/support/search/info/request-correction.xml","helpTarget":"_blank","helpAriaLabel":"Yazım hatası düzeltme servisi"}],"id":"647073247808"},"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":"dElMTCBNQVQgLSBUb3BpYwo=","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","ui":"desktop","yuid":"2999404521769526630"}}},"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%3DILL%2BMAT%2B-%2BTopic"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"6942762223366955287214","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":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"}}},"new_template_version":4,"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_no_islands":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_viewer_critical_error_codes":"101,102,103,100,151,152,153,154,155,156,150","video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","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_blender":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,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":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":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1466867,0,11;1336775,0,64;284407,0,64;151171,0,28;1281084,0,86;287509,0,98;1447467,0,78;1447550,0,98;1473596,0,23;1466396,0,81;912285,0,85"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DILL%2BMAT%2B-%2BTopic","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=ILL+MAT+-+Topic","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":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=ILL+MAT+-+Topic","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"ILL MAT - Topic: Yandex'te 4 bin video bulundu","description":"Результаты поиска по запросу \"ILL MAT - Topic\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"ILL MAT - Topic — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y0d776df797cffb01b267c445203e2cd5","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1466867,1336775,284407,151171,1281084,287509,1447467,1447550,1473596,1466396,912285","queryText":"ILL MAT - Topic","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"2999404521769526630","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459277,1459585,1461130,1472666,1466451,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1769526646","tz":"America/Louisville","to_iso":"2026-01-27T10:10:46-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-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":"1466867,1336775,284407,151171,1281084,287509,1447467,1447550,1473596,1466396,912285","queryText":"ILL MAT - Topic","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"2999404521769526630","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":"6942762223366955287214","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":163,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isIslandsDisabled":true,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"criticalErrorCodes":["101","102","103","100","151","152","153","154","155","156","150"],"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"2999404521769526630","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1754.0__7d090cb2d4d9823803190509a95d03c049893005","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","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"15245469387680958149":{"videoId":"15245469387680958149","docid":"34-8-5-Z4220ED852E1847AF","description":"Sexes\" Fellas I held it down for us and Ladies @iamrichied.vixenn represented 100% in the battle world it like a one rounder!! Follow me IG @Illmat_MS FB ILL MAT Website Illmat.NET...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/762676/fcffa99862ad0f19a1208cf0436eccac/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/qahwxwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DimrSKXEmy7c","linkTemplate":"/video/preview/15245469387680958149?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"ILL Mat \"Relationship goals\" ft richie D","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=imrSKXEmy7c\",\"src\":\"serp\",\"rvb\":\"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-QgN_PsE_wHnCfj--wD_AO38B_oHAAAADwcS-wYBAAAK__gD-QAAAAD78Q34_gAA_AcCAO8A_wAJAvcA_QAAAAEKC_D_AAAAG_UA9gL_AAD69gYE_wAAAAf3_AT5_v8BB_wM_wAAAAABBAb-_wAAACAALfQJ0Ds4E0AJSE5QAiqEAhAAGvABfyPlAIsS3fp_HOgBpfbx_qUxA_8DBAQAOQkZAQvpIAAADeIAAuziANX39wAi7_MA8ysNAAPLFP_y-w0AI9bwARvfJgAIBRYA7uYUAPAC8__b8OP-_ecCAA8EFgDxACv9JfHG_SA92QQK_-wAyuzdAyQQ-f_TARUDAf7r_gUI-v_32PEBCfL7AMvyBPnoHQgAGfr4ABEPEQQXBg_5BA8WBMEMDgAQCCH-5gH_BuAO-PYJ8Cf-C_vwCuMD-P4i5u_6AgPuBQDkCwj6ABYNKAsE8hX1DgTwNAIGDv7-_Cf-E_Hu4AD39hsVA-n58ALSF_cJIAAtVOwdOzgTQAlIYVACKnMQABpgM_0AKhQuIr_PKeMl4QYwGv7t3BjT7f_d7_8rzfzh-t0hvVcpADSC6RCaAAAAORltFgsAxn_o0-Uq5sAoH-4SVQ9aICmk7-nxtcH-BNfo-eIDC2scANG9sd3x5SMhWgwEIAAtiHAOOzgTQAlIb1ACKq8GEAwaoAYAAGTCAADAwAAA2EEAAKBAAACgwgAAFEIAABxCAADQwQAAoEAAADzCAAAwwgAAQMEAAJDBAABwwQAAgL8AAOBAAABgQQAA0MEAAEBBAADoQQAAJEIAAIBBAADwQQAAkMIAAIBAAACYQQAAAMMAAADBAACwQQAA2MEAAIRCAACQwQAA3MIAAMBAAACQwgAAREIAAFBBAACgQQAA-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-EEAAIDAAAAoQgAABEIAAKjBAADQwQAAaEIAAOjBAAAIwgAAOEIAADBBAACAwAAAnkIAAMDAAACKwgAAgD8AAOhBAAAwQgAA-EEAAATCAACQQgAAQMEAAPjBAAAgQQAALMIAAHhCAAAAQgAAeMIAAJDBAAC4wQAAisIAANjBAABAQQAAhEIAAIjCAAAAwAAAIEIAAFTCAACAPwAAwEAAAHTCAAAAwQAAnMIAAHTCAABwQQAA8EEAAFhCAABswgAAIEEAAGBBAAAAQgAAOEIAAEhCAADYwQAADMIAACzCAADAQSAAOBNACUh1UAEqjwIQABqAAgAAfD4AAOA8AAA8PgAA2j4AAN6-AAAFPwAA2r4AACm_AAC2vgAAfD4AAFA9AAAUvgAAEL0AAMI-AAAcPgAAIb8AAOC8AAAQvQAAPD4AAAE_AAB_PwAAuL0AAIA7AADoPQAA-D0AACS-AACIPQAAuL0AADA9AAALPwAAMD0AAOY-AAAcvgAA7j4AAOg9AAC-vgAA-D0AAJa-AADevgAAMD0AAES-AAD-vgAAMD0AAIA7AABEPgAATL4AABA9AACAuwAAkr4AANq-AACCPgAA4LwAAPi9AACgPAAADD4AADQ-AAB1PwAArj4AAKI-AAC6PgAAlj4AAGS-AABMPgAA2L0gADgTQAlIfFABKo8CEAEagAIAAIC7AABAvAAAcL0AAEG_AACgPAAAiL0AACy-AACGPgAA-D0AAKA8AAAwPQAADL4AAGw-AABUvgAABL4AAKA8AACgvAAATz8AAFA9AAA8PgAAQLwAACy-AACyPgAANL4AABA9AACOPgAA-L0AANg9AACyPgAAQDwAAOC8AACIvQAAoDwAALi9AACYvQAAHL4AABy-AABMvgAAiD0AAPg9AAC2PgAAXL4AAPi9AACovQAAkr4AAKA8AAB_vwAAED0AAFy-AAA0PgAAJL4AAIA7AAAEvgAAHD4AAHA9AACoPQAAHL4AANi9AABQvQAAir4AAPi9AADSvgAALL4AAPi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=imrSKXEmy7c","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["15245469387680958149"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"videoContentId":"411678859"},"9021089309611508987":{"videoId":"9021089309611508987","docid":"34-7-5-ZB1B116FF9C29D69D","description":"Provided to YouTube by DistroKid Go Bizerk · ILL MAT Go Bizerk ℗ Mob Society CuttaBoy Entertainment Released on: 2024-03-23 Auto-generated by YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2823851/fafff0a0cfa6b52719005d10d191daae/564x318_1"},"target":"_self","position":"1","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7zk7zALU69M","linkTemplate":"/video/preview/9021089309611508987?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Go Bizerk","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7zk7zALU69M\",\"src\":\"serp\",\"rvb\":\"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_E7UBggQkAYAEKyqLARABGniB9v70AfwEAPIR_f78AgAB-gP_Afn9_QD2_wkABgL_APsL_Ab6AQAA9xAH9AAAAADuAP_7-wEAAAgG-_kEAAAAE_oJ_QEAAAD__f7-BAEAAPj9CQH1AgAB-gEE__8AAAD3E_cE__8AAAsBBvkAAAAA_fP6BAAAAAAgAC1QGeE7OBNACUhOUAIqcxAAGmAJJQAJ7Qz40EUD7STa2hgJ4fbvAeQJ_z0zACP70_sMKyac-TYA8bryCrIAAADU-tox2gDhYL3_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_AACgQAAAwEEAAKhCAACQQgAA4EAAANjBAAAYwgAAdEIAAGzCAAAMwgAAqEEAACBBAAA8QgAAmMEAAHDBAADYwQAA4EAAAOjBAAC4QQAAeEIAAIBBAACoQQAAgEEAABBCAAAMQgAAcMEAAI7CAACGQgAAjMIAACTCAACAQQAA8EEAAABCAAAEQgAAkMEAAFTCAAAwQQAA4EAAAIDBAAAgQQAABMIAAGBCAAAwQgAAHEIAALhCAADowQAAgEIAABxCAACWwgAAsMEAACDBAACwwQAAAEAAACxCAAAQQQAA-MEAAIjBAABQQgAAmMEAADjCAAAswgAAYMEAAIbCAACKwgAAFMIAAKBBAACQwQAAEEEAAL7CAAC4QQAAJEIAAFDBAADYQQAAbEIAALjBAADYwQAAiMIAAKBAIAA4E0AJSHVQASqPAhAAGoACAACOvgAAXL4AAM4-AACYPQAAyD0AAIg9AADuvgAAH78AAKi9AABkPgAAHz8AAIA7AACmPgAABD4AAIC7AACmvgAAfD4AAKC8AACmPgAArj4AAH8_AACovQAAjr4AAJo-AAAMPgAAlr4AAOI-AAAsPgAANL4AALo-AABQPQAAqD0AAHS-AADKPgAAND4AAIK-AABQvQAA4LwAAHS-AADgvAAAXD4AAKq-AAAUPgAAEL0AAJi9AABQvQAAgj4AAOg9AABMvgAA0r4AANg9AAC4PQAAij4AALi9AABQvQAAED0AAF8_AACCPgAAyD0AAEQ-AAA0PgAAiL0AAEy-AAAcviAAOBNACUh8UAEqjwIQARqAAgAA3j4AAHC9AADgvAAAKb8AAKK-AAAEPgAAgLsAAEC8AACAOwAA9j4AAIK-AACoPQAAmj4AABC9AAB8vgAAQDwAAOK-AAB_PwAAhr4AAAk_AABwvQAAB78AAMg9AADovQAARL4AAKi9AACAOwAAoj4AAHw-AACIvQAAgDsAABS-AACuPgAAnr4AADA9AAAMPgAAbD4AAOA8AADoPQAAEL0AABk_AABQvQAAqr4AANa-AAC2vgAAED0AAGe_AACOvgAAHL4AAKA8AABEvgAAPD4AAHA9AABMPgAAUL0AABQ-AABsvgAAFD4AAJi9AABAPAAAJD4AAI4-AADgPAAARL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=7zk7zALU69M","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["9021089309611508987"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"18258913014241012468":{"videoId":"18258913014241012468","docid":"34-10-16-ZA873E6E71FAF913A","description":"Provided to YouTube by DistroKid Cranked · ILL MAT Ghetto Pope ℗ 1370938 Records DK Released on: 2019-12-02 Auto-generated by YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/481339/a8301924a9ad18dd93094ca2dc788842/564x318_1"},"target":"_self","position":"2","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DP5aAAvSf_lE","linkTemplate":"/video/preview/18258913014241012468?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Cranked","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=P5aAAvSf_lE\",\"src\":\"serp\",\"rvb\":\"EqsDChQxNTI0NTQ2OTM4NzY4MDk1ODE0OQoTOTAyMTA4OTMwOTYxMTUwODk4NwoUMTgyNTg5MTMwMTQyNDEwMTI0NjgKEzY1Mzg5ODEyMDI1OTg3MTMwNTkKFDEzOTM1Nzg4MjI4NDU0NTUwMTQ0ChM3MDEyMzUyMDE5MTUzODUxNTIxChQxMDQwNTU1MTY2NjM4OTU4Nzc5MAoUMTI0MDgzODEwOTA2NjA1MzI0MDMKEzEzODk5NDMxMDkzNzU4NjAxNjMKFDEzMjU1MTQ4NjE4MjQwODk4Mjc5ChMxNTA0OTY1NDk5MDE1NzgzMjcxChMzNTY2NTE5NTk3MDUxNzE2MzAxChM5Mjg3MDMzNzA2OTYzNjgwNzI4ChQxMTA4MzYxMjg0MzE0Nzk4NjM3NwoUMTI3MTMyNjQwODUyMDgwOTA4MTQKEzMzOTI3MTY2MzcwNjkwMDgwNDYKEjc4Nzg1OTA5Mzk5MjUwNzEzMAoUMTczNTYzMzIxNjg1ODk2NTE2MDEKEjg5MDg4ODQxNzAxMzg2ODMxOAoTOTE1MDE5NTAxNDg0NTcyNjYzMxoWChQxODI1ODkxMzAxNDI0MTAxMjQ2OFoUMTgyNTg5MTMwMTQyNDEwMTI0Njhqww0SATAYACJZGkQACjxoaGFwenZkbXVja2V2dXhjaGhoaG91cXNsa3lzbHpycm9kaGhVQ25JTkZXRHBiMzFvU2R0V0ZfTkxWOEESAwASEioRwg8PGg8_E90BggQkAQCABCsqiwEQARp4gfsB-Qj8BQAD_gr7_QP_AfcKBgL5_f0A9vUDCQcD_wD9CfcLAwEAAP8FAf8FAAAAAAQJ__v-AQANDAH6BQAAAP72A_kCAAAADwgFAv4BAAD9_AkEA_8AAAMCCAcAAAAA8wsCAQT6-AT_BgX9AAAAAPvt_v8AAAAAIAAtotThOzgTQAlITlACKnMQABpgBx0AGQQj5-PjAvD94-_4Ew_O9dsPPv8ZBwDNA-n_LS3v0OwbAOvnE_jEAAAA5RQACgIA1ko449vy2BsM7isbB_J_HREn6A_1-N7v-ssE7QIHE_XgAAH3_g7XywlHJRcLIAAtYthZOzgTQAlIb1ACKq8GEAwaoAYAAJjCAACwQQAAdEIAADDCAAAIwgAAoEAAABjCAAB8wgAAgL8AADDCAADQwQAA4MEAAODBAACAwgAAcMEAAPBBAADQwQAAYMEAAFBBAAAUwgAA0EEAACBCAACIwgAA-MEAAEDAAAAYQgAAoMIAAKBAAACowQAAIEEAABhCAAC4QQAAmMEAAOhBAADQwQAABEIAAOBBAAAsQgAACMIAADBBAABgQgAAgD8AACBCAAC4QQAAyEEAALBCAAAMwgAAfEIAAEBBAACWwgAACMIAAPhBAAA4QgAAoMEAAEBBAACAvwAAOMIAAIjBAAAcwgAAkkIAAEBAAAC-QgAAyEEAALDBAADAQAAAAMEAAHBBAAAAwgAAOEIAAGDBAACYQQAAGMIAAFzCAAAcQgAAWMIAAATCAABgwQAAEEEAAIBAAADowQAA0sIAAIC_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-AABMPgAAEL0AANg9AAAMPgAAgr4AAPa-AAAQvQAAjj4AAAU_AACgvAAAXD4AAPi9AABAvAAAqL0AAFQ-AABQPQAAFD4AAHQ-AAB_PwAADD4AAJ6-AABUPgAAiD0AAKK-AABAvAAAED0AAMg9AACOPgAA4DwAABA9AAC4vQAAhj4AAFA9AABwvQAAyD0AAIA7AAC-vgAABL4AAMg9AAA0vgAAEL0AAOg9AACAuwAA-D0AAJg9AAAEPgAAUD0AALK-AAAkPgAATD4AAHw-AAD4PQAAqr4AAJg9AAAHPwAAND4AABQ-AAC2PgAAyD0AABS-AABQvQAA6L0gADgTQAlIfFABKo8CEAEagAIAAHQ-AAAQPQAA4DwAADW_AACYPQAAyD0AAIg9AAB8vgAA-D0AAAs_AACAOwAAfD4AAB0_AACYvQAAor4AAOC8AACGvgAAbT8AAIK-AADSPgAAtr4AAIq-AADWPgAALL4AABS-AABAvAAAyD0AAKI-AAC-PgAATL4AAAQ-AACovQAAgDsAAIi9AACYvQAAMD0AAAw-AADGPgAAqD0AAI6-AAAzPwAAED0AAJq-AADGvgAA1r4AAIA7AAB_vwAAMD0AABA9AACmPgAA4DwAACw-AACSPgAAjj4AABy-AADIPQAAVL4AAAS-AACOvgAA0r4AAKi9AAAQPQAAgDsAAHS-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=P5aAAvSf_lE","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["18258913014241012468"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"6538981202598713059":{"videoId":"6538981202598713059","docid":"34-1-1-ZB3B9F021965E91AC","description":"Join the channel to take advantage of the benefits and support the channel: / tunç kurt matematik Hello, in response to your messages, I'm working on Calculus 1 homework solutions and preparatory...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1033459/4f8ff6446b207ca50f9b253bcc44adc8/564x318_1"},"target":"_self","position":"3","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=videoid:6538981202598713059","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitmeni tarafından sunulan kapsamlı bir türev dersidir. Eğitmen, tahtada veya yazılım arayüzünde matematiksel ifadeleri göstererek konuyu adım adım açıklamaktadır.","Video, türev konusunun temel kavramlarından ileri seviye konularına kadar uzanan bir yapıya sahiptir. İçerikte fonksiyonların tanım kümeleri, e üzeri fonksiyonların türevi, ters fonksiyonların türevi, ark tanjant, arksinüs fonksiyonlarının türevi, kısmi türevler, ln fonksiyonlarının türevi, normal line bulma, teğet doğruları, paralel doğrular ve Intermediate Value Theorem gibi konular ele alınmaktadır.","Videoda özellikle vize ve final sınavlarına hazırlanan öğrenciler için önemli bilgiler verilmekte, türev alma yöntemleri detaylı şekilde gösterilmektedir. Ayrıca, kübik fonksiyonların reel köklerinin varlığı ve bir fonksiyonun sürekli ve türevlenebilir olması için gerekli koşullar da açıklanmaktadır. Video, bir serinin parçası olup, ikinci dönemde devam edeceği belirtilmektedir."]},"endTime":2733,"title":"Kalkülüs Dersi: Türev Konusu","beginTime":0}],"fullResult":[{"index":0,"title":"Giriş ve Ders İçeriği","list":{"type":"unordered","items":["Önceki kayıtta kalkülüs tekrar testi yüklenmiş, ancak türev kısmı eksik kalmıştır.","Matematik bölümü öğrencileri için ilk vize genellikle fonksiyonların tanım kümeleri ve grafiği konularını kapsar, türev sadece tanım kısımları içerir.","Mühendislikte veya servis dersleri olan matematikte (103, 104, 109 kodları) türev konusu daha erken gelebilir."]},"beginTime":8,"endTime":65,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=8&ask_summarization=1"},{"index":1,"title":"Video İçeriği ve Destek İsteği","list":{"type":"unordered","items":["Videoda eski üniversitelerden çıkan vize soruları çözülecek ve bu pratikler gelecek sorulara hazırlık sağlayacaktır.","İzleyicilerden videoyu beğenip paylaşmaları ve \"katıl\" butonuna tıklamaları isteniyor.","Katıl kısmına katılanlar PDF'lere erişebilir ve ilerleyen dönemlerde çözülen soruların dijital notlarına da ulaşabilirler."]},"beginTime":65,"endTime":128,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=65&ask_summarization=1"},{"index":2,"title":"Türev Soruları","list":{"type":"unordered","items":["Bu dosyada sadece türev soruları olacak, limit ve fonksiyon tanım kümesi ile ilgili sorular için açıklama kısmında linkler bırakılmıştır.","Fonksiyonun tanım kümesi sorusunda, üslü fonksiyonların tanım kümesi reel sayılar olup, ark tanjant fonksiyonunun tanım kümesi de reel sayılar olarak belirlenmiştir.","Kök içerisindeki ifadenin tanımlı olması için 1+ln x ≥ 0 şeklinde bir eşitsizlik kurulmuş ve x > 1 olarak bulunmuştur."]},"beginTime":128,"endTime":257,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=128&ask_summarization=1"},{"index":3,"title":"Türev Alma Yöntemleri","list":{"type":"unordered","items":["a üzeri x fonksiyonunun türevi, her iki tarafın da ln alınarak ln(a üzeri x) = x × ln(a) şeklinde ifade edilir.","ln(f(x))'in türevi f(x) / f(x) olarak hesaplanır ve bu formül türev alma işlemlerinde kullanılır.","e üzeri x fonksiyonunun türevi e üzeri x × ln(e) = e üzeri x olarak bulunur."]},"beginTime":257,"endTime":446,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=257&ask_summarization=1"},{"index":4,"title":"Ters Fonksiyonların Türevi","list":{"type":"unordered","items":["Ters fonksiyonların türevi, bir fonksiyon ile o fonksiyonun tersinin bileşkesinin birim fonksiyon (x) vermesi özelliğinden türetilir.","g⁻¹(g(x)) = x eşitliğinin her iki tarafının türevi alınarak g⁻¹'(g(x)) × g'(x) = 1 ilişkisi elde edilir.","Ark tanjant fonksiyonunun türevi, tanjant fonksiyonunun türevi kullanılarak g⁻¹'(tan(x)) = 1 / (1 + tan²(x)) olarak bulunur."]},"beginTime":446,"endTime":550,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=446&ask_summarization=1"},{"index":5,"title":"Ark Tanjant Fonksiyonunun Türevi","list":{"type":"unordered","items":["Ark tanjant x'in türevi 1/(1+tan²x) olarak hesaplanır.","Eğer ark tanjant u veya ark tanjant f(x) gibi bir ifadenin türevine bakıyorsak, 1/(1+x²) çarpı f'(x) şeklinde hesaplanır.","Geçen derste arksinüs ve arksinüs'ün gösterimleri yapılmıştır."]},"beginTime":552,"endTime":618,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=552&ask_summarization=1"},{"index":6,"title":"Fonksiyonun Türevi Hesaplama","list":{"type":"unordered","items":["e üzeri ark tanjant ifadesinin türevi, e üzeri ark tanjant kök içerisinde 1+lnx çarpı (1/(1+lnx)²) olarak hesaplanır.","Kök fonksiyonunun türevi, icerisinin türevi bölü 2 kök içerisinde ifadenin aynısı veya tepesinde 1/2 şeklinde rasyonel formatta yazılır.","Fonksiyonun kendisiyle tersinin bileşkesinin türevi, fonksiyonun kendisiyle tersinin çarpımı olarak hesaplanır."]},"beginTime":618,"endTime":759,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=618&ask_summarization=1"},{"index":7,"title":"Ters Fonksiyonların Türevi","list":{"type":"unordered","items":["Ters fonksiyonların türevi, f⁻¹'(x) = 1/f'(f(x)) formülüyle hesaplanır.","f(x) = e^(arctan(√(1+lnx))) fonksiyonunun türevi, f'(x) = 1/f'(e^(4)) şeklinde bulunur.","f(x) = e^(4) olduğunda, x = 1 olarak hesaplanır ve bu noktadaki türev f'(1) = 1 olarak bulunur."]},"beginTime":761,"endTime":898,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=761&ask_summarization=1"},{"index":8,"title":"Kapalı Fonksiyonların Türevi","list":{"type":"unordered","items":["Kapalı fonksiyonların türevi, y'lerin değişkene bağlı olduğu durumda kısmi türevler kullanılarak hesaplanır.","f(x,y) = x⁴ + y⁴ + 2xy fonksiyonunun türevi, f'(x,y) = 4x³ + 4y³ + 2xy olarak bulunur.","x = 1 ve y = -1 noktasında y'nin türevi, f'(1,-1) = 1 olarak hesaplanır."]},"beginTime":898,"endTime":1038,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=898&ask_summarization=1"},{"index":9,"title":"Logaritmik Fonksiyonların Türevi","list":{"type":"unordered","items":["f(x) = ln(cosx + 3√2 + sinx) fonksiyonunun türevi, f'(x) = (cosx + 3√2 + sinx) / (ln(cosx + 3√2 + sinx)) olarak bulunur.","f(x) = 3ˣ fonksiyonunun türevi, f'(x) = 3ˣ × ln3 olarak hesaplanır.","g(x) = log₂x fonksiyonunun türevi, g'(x) = 1 / (x × ln2) olarak bulunur."]},"beginTime":1038,"endTime":1284,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=1038&ask_summarization=1"},{"index":10,"title":"Arksinüs Fonksiyonunun Türevi","list":{"type":"unordered","items":["f(x) = arksinüs(sinüs x) fonksiyonunun tersini bulmak için türev alma yöntemi kullanılır.","Arksinüs fonksiyonunun türevi, içerideki ifadenin türevi bölü kök(1 - içerideki ifadenin karesi) şeklinde hesaplanır.","Arksinüs(x²) fonksiyonunun türevi ise 2x/(1 - x⁴) olarak bulunur."]},"beginTime":1295,"endTime":1491,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=1295&ask_summarization=1"},{"index":11,"title":"Tanjant Doğrusu Bulma","list":{"type":"unordered","items":["Bir eğrinin belirli bir noktadaki tanjant doğrusunun eğimi, o noktadaki fonksiyonun türevine eşittir.","f(x) = eˣ + 2 + 4x³ fonksiyonunun 0,1 noktasındaki türevi 3'tür.","Eğimi 3 olan ve (0,1) noktasından geçen doğru denklemi y = 3x + 1 olarak bulunur."]},"beginTime":1491,"endTime":1630,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=1491&ask_summarization=1"},{"index":12,"title":"Paralel Doğrunun Üzerindeki Nokta","list":{"type":"unordered","items":["Bir eğrinin belirli bir doğrusuna paralel olan bir noktasının varlığını göstermek için, o noktadaki fonksiyonun türevinin paralel doğrunun eğimine eşit olması gerekir.","f(x) = eˣ + 2 + 4x³ fonksiyonunun türevi f'(x) = eˣ + 2 + 4x² + 4x³'tür.","f'(x) = 2 eşitliğini sağlayan bir x değeri için, intermit value teoremi kullanılarak bu noktanın varlığı gösterilir."]},"beginTime":1630,"endTime":1830,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=1630&ask_summarization=1"},{"index":13,"title":"İç İçe Fonksiyonların Türevi","list":{"type":"unordered","items":["f(x) = sin(sec x) fonksiyonunun türevi hesaplanırken, sec x = 1/cos x olarak tanımlanır.","Bölüm türevi formülü kullanılarak f'(x) = tan x / cos sec x bulunur.","Bu sonuç, sec x'in türevine eşittir."]},"beginTime":1830,"endTime":1866,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=1830&ask_summarization=1"},{"index":14,"title":"Türev Hesaplama Yöntemleri","list":{"type":"unordered","items":["İç içe geçmiş fonksiyonların türevi hesaplanırken en dışarıdan başlayıp türevliye türevliye gidilmelidir.","Sekant fonksiyonunun türevi sekant x çarpı tanjant x'tir.","Türev hesaplamasında f'(x) = f'(g(x)) × g'(x) formülü kullanılır."]},"beginTime":1869,"endTime":2006,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=1869&ask_summarization=1"},{"index":15,"title":"Logaritma Fonksiyonlarının Türevi","list":{"type":"unordered","items":["Logaritma fonksiyonlarının türevi hesaplanırken, logaritma fonksiyonu g(x) = 5^f(x) şeklinde yazılabilir.","g'(x) = (g'(x) / 5^f(x)) × ln(5) formülü kullanılır.","Logaritma fonksiyonlarının türevi hesaplanırken, logaritmanın tabanı ve fonksiyonun değeri dikkate alınmalıdır."]},"beginTime":2006,"endTime":2101,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=2006&ask_summarization=1"},{"index":16,"title":"Teğet ve Normal Line","list":{"type":"unordered","items":["Teğet line ile normal line birbirleriyle dik kesişir ve eğimlerinin çarpımı -1'e eşittir.","Eğrinin türevi alınarak teğet line'ın eğimi (m) bulunabilir.","Normal line'ın eğimi, teğet line'ın eğiminin tersi ve işaretinin tersi olarak hesaplanır."]},"beginTime":2101,"endTime":2270,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=2101&ask_summarization=1"},{"index":17,"title":"Fonksiyonların Sürekliliği ve Türevlenebilirliği","list":{"type":"unordered","items":["Polinom tipteki fonksiyonlar tüm reel sayılarda süreklidir ve türevlenebilirdir.","Intermediate Value Theorem kullanılarak fonksiyonların belirli aralıklarda değerleri karşılaştırılabilir.","Fonksiyonun belirli aralıklarda değerleri karşılaştırıldığında, en az bir noktada fonksiyonun belirli bir değere eşit olduğu sonucuna varılabilir."]},"beginTime":2270,"endTime":2366,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=2270&ask_summarization=1"},{"index":18,"title":"Kübik Fonksiyonun Kökleri","list":{"type":"unordered","items":["Kübik fonksiyonun kökleri hesaplanarak P₁ = -3, P₂ = 8 ve P₃ = 12 olarak bulunuyor.","Fonksiyonun üç reel kökü olduğu gösteriliyor.","Türev yöntemi ile de köklerin varlığı gösterilebilir: f'(x) = 3x² - 5 = 0 denkleminin kökleri -√5/3 ve +√5/3 olup, bu noktaların görüntülerinin zıt işaretli olması üç reel kökün varlığını garanti eder."]},"beginTime":2367,"endTime":2543,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=2367&ask_summarization=1"},{"index":19,"title":"Süreklilik ve Türevlenebilirlik","list":{"type":"unordered","items":["Sabit c ve d değerleri için hem sürekli hem diferansiyellenebilir bir fonksiyon bulunması isteniyor.","Süreklilik için x=3 noktasındaki soldan ve sağdan limitlerin eşit olması gerekiyor: 3c+4 = 8d.","Türevlenebilirlik için x=3 noktasındaki sağ ve sol türevlerin eşit olması gerekiyor: 6d = c.","Bu denklemlerden d = -2/5 ve c = -12/5 değerleri bulunuyor."]},"beginTime":2543,"endTime":2685,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=2543&ask_summarization=1"},{"index":20,"title":"Dersin Kapanışı","list":{"type":"unordered","items":["Eğitmen, dersi hazırlarken ve çözerken keyif aldığını belirtiyor.","İzleyicilerden eksik kaldığı düşündükleri yerleri yorum olarak bırakmalarını istiyor.","Serinin vize ve finaller için ikinci dönemde devam edeceğini söylüyor."]},"beginTime":2685,"endTime":2718,"href":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=2685&ask_summarization=1"}],"linkTemplate":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Calculus 1 - 1st Midterm Derivative Questions | Topic Summary (Math 101-103-119, General Math)","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=CCvIC9lk9rc\",\"src\":\"serp\",\"rvb\":\"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_E60VggQkAYAEKyqLARABGniB-fcHAwT7AO_3AgkEBP4BAQn-Cff-_gDyCvML-wH_AAT68Pj7AQAADBH88_4AAADwBusK_gAAABcE8wD0AAAAFg0AAf4AAAACFvP3_wEAAP_w-wED_wAAIAMI-v8AAAAMCQP5_v8AAAMSAQgAAAAA8vsQBf8AAAAgAC38mcc7OBNACUhOUAIqcxAAGmAMCwAmOy7cvRA15sTYBxnc7QXd_rUJ_xoj_woQ1s0OMuGgCAf_G64dAKAAAAA46u_7-ACeeuP6wisWBhrA4P0OMX_DLsXx5u3L4uwS2_zzIO_O_RAA1QfeAEnil1cXSPsgAC2h8hc7OBNACUhvUAIqrwYQDBqgBgAAAEIAAHBBAAA8QgAA4MAAAABBAACYQQAA8EEAAMBAAACAwgAAuEEAAFTCAADAQQAAeMIAAKBAAABwQgAAosIAAOBAAABEwgAAAEEAAPDBAAD4QQAAdMIAAOjBAACoQQAAXEIAAGDBAABcwgAAgMAAANBBAAAAQgAAgMAAAMDAAADgwQAAaEIAABDCAACQQQAA4EAAAOBCAACwwQAAgD8AACRCAAAwQgAAcEIAAIDBAABQQQAAoMAAAJjBAAAUwgAAQEIAAMDBAABwwQAAwMAAANhBAABgQQAAYMEAAI5CAAAAwAAAAEAAAARCAAAIQgAAGEIAACzCAAAYwgAAJMIAAOBAAAAcQgAAmkIAAGDBAADgwQAAMMEAAAxCAABsQgAANMIAAJ5CAAA8QgAAlMIAALjBAAAwQQAA-EEAAOjBAABQwgAAAMIAAOBAAACIQgAAcMEAABzCAADwwQAAuEEAAJhBAAD4wQAAoMAAAFBBAAAAQAAAEMIAADzCAABswgAAkMEAAFBBAAAQQgAAqMEAAAzCAAAQQQAAPEIAAGjCAACewgAAEEEAAIBBAAAQwQAA6EEAAOBAAABQQQAAYMEAAILCAAAwQQAAhEIAAABBAADIQQAAlMIAAEDBAABgwgAAgMEAAODAAAA0wgAArMIAAIRCAACGQgAABEIAADDCAAA0wgAAbMIAABBBAACIQQAAHEIAAIBCAACYwQAAUEEAAPDBAAAQwQAADMIAAJjCAABoQgAAiEEAAMDAAAA8QgAAoEAAAKDBAAC4wQAAAEEAAARCAABQwQAA4EEAAIjBAADIQQAAMMIAAKBBAAA0wgAA4MEAAADDAAAgQgAAkkIAAIA_AAB4QgAARMIAAMDAAAAAwQAAUMIAAKBBAAAAAAAAUEEAACDBAAC6wgAAgEEAAMDBAADAwAAAwMAAABBCAAAowgAAkMIAALRCAACYQgAAgMAAABRCAAC4QQAAiMIAAKJCAADAwQAA6MEAAMhBAADwwQAAmEEAAEDBAACwQQAA8EEAACBBAADoQQAAAEIAACzCAAC4QQAAjMIAAAzCIAA4E0AJSHVQASqPAhAAGoACAAAwPQAAqD0AADQ-AADYvQAAcL0AAKI-AAC4PQAAOb8AAL6-AACIPQAAqr4AAKg9AABAPAAAoDwAAFS-AACSvgAADD4AAOC8AACOPgAABT8AAH8_AABAvAAAlj4AAJg9AABAPAAABL4AACQ-AAAkvgAALD4AAFw-AAD4PQAABL4AACQ-AADIvQAAMD0AAIC7AACgPAAADL4AACS-AABsvgAA2L0AAKg9AACaPgAAVL4AADC9AABwvQAAmj4AABy-AADYvQAAjr4AANg9AACAOwAAUL0AAEC8AACAuwAAUL0AAC0_AACYvQAAUL0AACS-AACIPQAAHD4AAGw-AAAMviAAOBNACUh8UAEqjwIQARqAAgAA-L0AAHQ-AACgvAAAH78AAHC9AACAOwAAPD4AAHC9AAAMPgAA6D0AAOg9AACIvQAAML0AACy-AADoPQAA4DwAAIC7AAAFPwAAQLwAALY-AABwPQAA4DwAAJi9AAAMvgAAQLwAAIA7AADgPAAA2D0AAAy-AAAwvQAAoDwAABw-AAAEvgAAcL0AAOC8AACovQAAQDwAACw-AACevgAA-L0AAKC8AAAwPQAAMD0AAEC8AAC4PQAAML0AAH-_AAAsPgAAhj4AAKA8AACAOwAAEL0AAJ6-AAAkPgAAZD4AABQ-AACAuwAA2L0AAIC7AAAcPgAAML0AAKa-AAA0PgAADD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=CCvIC9lk9rc","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["6538981202598713059"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"13935788228454550144":{"videoId":"13935788228454550144","docid":"34-4-16-ZB1E08E2A36A2921B","description":"Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/218261/474644915fba9e4f0dcefb2206f7349f/564x318_1"},"target":"_self","position":"5","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DehYVxTvqiHk","linkTemplate":"/video/preview/13935788228454550144?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"We listed the most difficult ayt mat topics","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ehYVxTvqiHk\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TKoIEJAGABCsqiwEQARp4gfT89v4B_wAD-Q4OBgv5Av4I9v0J_f4A8-4A_fcC_wD49QUADAAAAP0U-vMEAAAA9v77CPT_AQAYF_37BAAAAAP-9_j2AAAACQj89wn_AQH49_f9A_8AAAgEAgsAAAAA_AMBEAAAAAAL__YPAAAAAAf7_goAAAAAIAAthUHROzgTQAlITlACKnMQABpgFA4APgEXAfUK-d_38vgs__70Ahbs4gAQ7QD3KtqlEffftyQF_yjoDPC8AAAAGw8KAyYA5FcLC9EtKt0N7tEBHAh_-SrGJTIJ8_H3Cdz2zQ3w7TYGAOMS-AAjQtQ6Kw42IAAtGz5DOzgTQAlIb1ACKq8GEAwaoAYAAADAAAA8QgAAKEIAABBBAABAwAAAqEEAAIZCAABwQQAALMIAAMDBAABcwgAAWEIAAEzCAABQwgAAjEIAAEhCAACYQQAACMIAANjBAABAwgAAAAAAAMjBAADgwQAAoEIAAOBAAAAwwQAAEMEAALjBAACUQgAAOEIAAEBAAAAwwgAABEIAAIpCAAAIwgAADEIAAHBBAACsQgAASMIAAIC_AABgwQAAAEAAALhCAABgwgAA-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_AAAQQgAAiEEAABBCAACgwAAABMIAAChCAABQwgAAHEIAAADBAAA4QgAAGMIAANDBAAB4wgAA4EAAABhCAACwwQAAEMEAAIrCAAAMQgAAoEAAACjCAABQwQAAaMIAANjBAAAgwQAAkMEAALjBAAAkwgAAQMEAABRCAAAEQgAAVEIAAPDBAAAIQgAAKEIAAGBBAAAEwgAAUEEAAKbCAAA0QgAA-MEAAJbCAABEQgAAIMEAAABAAADIwQAA2EEAABzCAAC4wQAAAMEAADhCAABwwQAAgEEAADDCAACAPyAAOBNACUh1UAEqjwIQABqAAgAAQLwAAEC8AABEPgAA6D0AAAS-AACWPgAAir4AAPq-AAC4vQAAqD0AACw-AADIvQAAZD4AAOA8AAAsvgAA-D0AALI-AACYPQAAdD4AALo-AAB_PwAAML0AAKC8AAC-PgAAiD0AADC9AAAQvQAAoLwAACw-AACgPAAAiD0AADy-AAC4PQAAqL0AAKY-AACgPAAAUL0AAMK-AAB0vgAA2L0AANg9AACOvgAAZD4AAIA7AACAOwAA4LwAAEC8AABwPQAAuD0AAMi9AADoPQAAQLwAAKg9AADKPgAAuL0AALg9AAAfPwAA-D0AAEA8AACIPQAAcD0AABw-AADoPQAAjr4gADgTQAlIfFABKo8CEAEagAIAAOi9AABkvgAAiL0AAFG_AABAvAAAbD4AAFw-AAA8PgAAQLwAABA9AAAQvQAAFL4AAIA7AABwvQAAmD0AABC9AAAQPQAADz8AAEy-AACOPgAARL4AAMg9AAAQPQAADL4AAIg9AAC4PQAAuD0AAEA8AABAPAAAMD0AAFA9AABwPQAAUL0AANi9AACoPQAAFL4AAMg9AAAsPgAAbL4AAAQ-AABkPgAALL4AAKA8AAAsPgAAkr4AAEy-AAB_vwAAdD4AAEC8AACCPgAAcL0AAJi9AABwPQAAcD0AAI4-AABwPQAAUD0AABA9AABwPQAARL4AAAQ-AAAQvQAA4LwAALg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=ehYVxTvqiHk","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":405,"cheight":720,"cratio":0.5625,"dups":["13935788228454550144"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"7012352019153851521":{"videoId":"7012352019153851521","docid":"12-1-7-Z746358D9B82FFE9B","description":"Math2Heart is a new curriculum being created and taught by Elizabeth Hill. Math2Heart brings math into student's hearts through art! Learn about lines, rays, and line segments and have fun...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4371468/96e46d3ecfe2334d54f5fff6315f81cd/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/jqKOEgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DlWnOLYeqeC4","linkTemplate":"/video/preview/7012352019153851521?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Math2Heart's Parallel, Perpendicular, and Intersecting Lines Lesson","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=lWnOLYeqeC4\",\"src\":\"serp\",\"rvb\":\"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_E8cOggQkAYAEKyqLARABGniBEQMC_gP9APX4BgkPBvwBCgn_9_YAAAD98fT4_gX-APH2-w4FAAAA_QcECwQAAAAFCvQO_f0BABP_7wgCAAAAHvkC9P0AAAAWBv8A_gEAAO3y_QwE_wAAFQQTAgAAAAD--gsSAAAAAP72CgUAAAAA__UB_gAAAAAgAC1RjMs7OBNACUhOUAIqhAIQABrwAX_t9ALM_QD-Kun8AN8PAwCiAAH_Ve_1_-cIGADTAusABwf6AO3PFgETBhcB0wMPAP77_f8B_hUABBgJAFYJ-wHhEQYADOP1AQMBAgHq8fwA-Abt_wgQCAAA8P8BDwgI__0DKv_5B-wBD_b1AhH8_wP49PoB8ATqAfr6Ff8BEgoBAwz-_RsMAv0CAQT88g4nAP7-7QX5Evn7-R33A_4M5gMD9_QADfnpAPsQ9QEUCPgC-R3__RgD8f7vAQ0E-hQA_wf9BgYHEgQAARL9_QgEC_4L6hQCDOj9-A3-9wb_3Ab6BAEA_f33C_Ln7gIB8gEFDCAALdoNXzs4E0AJSGFQAipzEAAaYDQHAD31HgLj-TTczO8UBwwFM_Am1wcA9sQAIvTn3hb93dElH_8iv_7-tQAAAArrAf4wAORr_NzsAAcb_cCwBPoDf_wXCt8PKv633-LpDSAU-gkZPgC9CMBBK9TZHwEWRCAALUeAMjs4E0AJSG9QAiqvBhAMGqAGAADAwAAAFMIAAJBCAACAwQAAIMEAAABBAABMQgAA4MEAACzCAAAkwgAA4MEAAADBAAAEwgAAQEAAAIxCAACAvwAAVEIAABjCAADQQQAAlMIAAAxCAACAQAAA4EAAAGxCAAA0QgAAqEEAABDBAABAwQAA7EIAAFxCAABAQgAAuEEAAKDAAABAQgAAEMIAAABAAADYQQAA_kIAAIA_AADYwQAAiMIAADDBAACIQgAAFEIAAJRCAACgQQAAcMEAAIC_AAAAQQAAIMEAAIzCAABQQQAAAMEAAABAAACUwgAAYMIAANBBAADQQQAAAMEAAFBBAABQQQAAHMIAAIBAAABAwQAAKEIAACRCAACCQgAAmMIAABTCAAA4QgAA4EEAAIJCAAAQwgAAfEIAAEjCAABgwgAAwMEAABBCAAA4QgAAyMEAACRCAAAAwAAAqMEAAIA_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-EEAAEDBAACQQQAAHMIAAGBBAADAwQAAIMEAANDBAAA0wgAAQEAAACDBAABwwgAAAEEgADgTQAlIdVABKo8CEAAagAIAACy-AAB8vgAALD4AAOA8AAAwPQAATD4AAMg9AADqvgAAwr4AAKA8AACGvgAAiD0AALi9AAC2PgAA-L0AAFA9AABUPgAAQDwAAJg9AAC2PgAAfz8AAOi9AAAQPQAAML0AADC9AAAQvQAAuD0AABS-AAA8PgAAij4AAMg9AABQPQAAML0AADy-AADYPQAAgDsAAKA8AAAEvgAAkr4AACS-AABUvgAAQDwAAMg9AAAcvgAAiL0AANi9AABMPgAAuL0AAKi9AAC4vQAABD4AADy-AABsPgAAFL4AACy-AABAvAAANT8AALg9AABcPgAAUD0AAFC9AADgPAAAiD0AAKC8IAA4E0AJSHxQASqPAhABGoACAACgPAAAoDwAALi9AAApvwAADL4AACS-AACAOwAAUL0AAEy-AADIPQAAqL0AAEy-AAC4vQAAsr4AAEC8AACIvQAAMD0AABE_AAAEvgAAhj4AAOA8AACYPQAADL4AALi9AABQPQAAEL0AAES-AADgPAAA2D0AAIg9AADgPAAABD4AAKi9AACKvgAAuL0AAMg9AAAsPgAA6D0AAES-AACgPAAAFD4AABS-AACOvgAAyD0AADC9AAAQPQAAf78AAFC9AAAEvgAAqD0AAFQ-AAAsvgAAmL0AAIA7AADgvAAAED0AAEC8AABEPgAANL4AAHA9AADgPAAAyD0AACQ-AAC4vSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=lWnOLYeqeC4","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7012352019153851521"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"10405551666389587790":{"videoId":"10405551666389587790","docid":"12-8-14-ZEE3AAAD40CD58B6E","description":"I'm here with you on day 13 of my 30-day topic-by-topic math problem-solving camp, solving problems on identities and factorization! I've prepared a great video for you with questions similar to...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/910896/0f0b9369c952556d59ecd7923a3f4e02/564x318_1"},"target":"_self","position":"7","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DQeSssEuuDY8","linkTemplate":"/video/preview/10405551666389587790?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"30-Day Topic-by-Topic Math Problem Solving Camp - Day 13: Identities and Factorization (+PDF)","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=QeSssEuuDY8\",\"src\":\"serp\",\"rvb\":\"EqsDChQxNTI0NTQ2OTM4NzY4MDk1ODE0OQoTOTAyMTA4OTMwOTYxMTUwODk4NwoUMTgyNTg5MTMwMTQyNDEwMTI0NjgKEzY1Mzg5ODEyMDI1OTg3MTMwNTkKFDEzOTM1Nzg4MjI4NDU0NTUwMTQ0ChM3MDEyMzUyMDE5MTUzODUxNTIxChQxMDQwNTU1MTY2NjM4OTU4Nzc5MAoUMTI0MDgzODEwOTA2NjA1MzI0MDMKEzEzODk5NDMxMDkzNzU4NjAxNjMKFDEzMjU1MTQ4NjE4MjQwODk4Mjc5ChMxNTA0OTY1NDk5MDE1NzgzMjcxChMzNTY2NTE5NTk3MDUxNzE2MzAxChM5Mjg3MDMzNzA2OTYzNjgwNzI4ChQxMTA4MzYxMjg0MzE0Nzk4NjM3NwoUMTI3MTMyNjQwODUyMDgwOTA4MTQKEzMzOTI3MTY2MzcwNjkwMDgwNDYKEjc4Nzg1OTA5Mzk5MjUwNzEzMAoUMTczNTYzMzIxNjg1ODk2NTE2MDEKEjg5MDg4ODQxNzAxMzg2ODMxOAoTOTE1MDE5NTAxNDg0NTcyNjYzMxoWChQxMDQwNTU1MTY2NjM4OTU4Nzc5MFoUMTA0MDU1NTE2NjYzODk1ODc3OTBqrw0SATAYACJFGjEACipoaGpwdHNqZWNoenVycWxiaGhVQ3hXdGlDWmZqSG1NRnZNMFRNaENmZGcSAgASKhDCDw8aDz8T8AaCBCQBgAQrKosBEAEaeIEEAP33_wEA_AAQBQcH_AEG9QD6-P7-AOj9BQL__gEA9gT29fgAAADy-_gBCAAAAPMD6_r5_wAABQcH-PgAAAAS_gD4_wAAAPsQ-v_-AQAA_PwKBAP_AAAPAAj7_wAAAPn9CgUBAAAA_gn_AwAAAAD4AAYE__8AACAALcxm1js4E0AJSE5QAipzEAAaYCAMADUV8A7i6gPi8P72FtLEFu31ACX_Ftv_FCrqyQVB1awbDv9CtSP3pAAAACro_yBZANlx5BWwFhQkAdDM9gsIf94Z_fAn7d_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-EEAAARCAABAwQAAgD8AALjCAACgQAAAEEEAAChCAAAIQgAAoMAAAMhBAAAkQgAAyMEAAI7CAAAQwgAARMIAAFBCAADAwAAAsEEAADBCAADYwQAAnMIAAFjCAADAQQAAUEIAAODBAAAswgAAAMEAAGTCAACQwQAAIMEAAODBAADwwQAAgkIAAADBAAAAAAAAIMIAAADBAABcwgAAgEAAAMjBAABAQQAAoEEAAKBAAAAAQQAAwMEAAGDBAACiwgAASMIAAAAAAAA0QgAAuEEAAEDBAAAMQgAAMEEAAEDBAACEQgAAuEEAABBBAAAswgAAMEEAAPhBAAAgQQAAoEAAAMBAAAAgQQAAlsIAAPjBAACSQgAAAMAAABBCAABMQgAAQMAAAIC_AAA4wgAAjkIAAKJCAAAAAAAAIEIAAEDCAACgQQAAIMEAABxCAABwwQAAgD8AAADAAACAvwAAaEIAANBBAABwQQAAHMIAANDBAADYwQAAPEIAAMDBAAAgwgAAMEIAAETCAABwQQAAPMIAABxCAADgwAAANEIAAAxCAACoQQAAFMIAAKBAAACewgAAoMAgADgTQAlIdVABKo8CEAAagAIAAII-AACAOwAA2D0AAMi9AACovQAAsj4AAKi9AAAvvwAAFL4AAKI-AACAOwAA-D0AAKA8AAAEPgAArr4AABC9AACGPgAA4DwAABw-AAAZPwAAfz8AAFS-AAAUPgAAED0AAES-AAAsPgAAgLsAAIA7AAAcvgAAND4AAIg9AAD4PQAAQLwAAIA7AADYvQAAuD0AAAQ-AACAuwAAmr4AAFS-AADovQAAND4AACw-AAAwvQAAQDwAADQ-AAAcPgAAcL0AAKA8AABcvgAAND4AAMg9AADCPgAAkj4AAEy-AABQvQAAJT8AAKi9AAAQPQAAQDwAANi9AAAQvQAAyD0AALg9IAA4E0AJSHxQASqPAhABGoACAAAcvgAA4LwAADw-AAArvwAAuD0AAGw-AACgPAAAqD0AAIi9AACGPgAADL4AANi9AAC4vQAAPL4AAIC7AACgPAAA-D0AACc_AAAMPgAA1j4AAKi9AACYPQAAQLwAABC9AACYvQAAqD0AAKg9AACgPAAA-L0AABQ-AACIPQAAiD0AAJg9AADYPQAA-D0AAIi9AAAUPgAAyD0AAK6-AAA0PgAAQDwAAAQ-AAAEPgAAEL0AAIK-AABAPAAAf78AAPg9AAC4vQAAcD0AANi9AAD4vQAAfD4AABQ-AABUPgAAUD0AAJg9AAAMvgAA-L0AABC9AAC4vQAAqL0AAFC9AAB8PiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=QeSssEuuDY8","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10405551666389587790"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"12408381090660532403":{"videoId":"12408381090660532403","docid":"12-4-11-Z93513AB92AC921CA","description":"MathHelp.com - https://www.MathHelp.com - offers help on all math topics from Pre-Algebra through Algebra 2 with over 1000 online math lessons featuring a personal math teacher inside every lesson!","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3142696/f8c68ab7657a598fb51f6601df5e0fb7/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/doEBAwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DFs_W1_Fom_s","linkTemplate":"/video/preview/12408381090660532403?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Math Topics - MathHelp.com - 1000+ Online Math Lessons","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Fs_W1_Fom_s\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TbYIEJAGABCsqiwEQARp4gfL8__X-AgD7_P8QAQn7AgwA-_r2AAAA9QX1_fUC_wD99gcEAgAAABED9fUDAAAA8QXtCv4AAAAEBvoI-QAAABES_vb8AAAACg8DAP4BAAD8-AL_Av8AAAgFD_z_AAAABhQGAv4AAAAQDgoCAQAAAAcLAvwAAAAAIAAtHT3WOzgTQAlITlACKoQCEAAa8AF_BfsCuPTs_hbt8ADsC9sBix8K_y005P_aIiD_0v_vAfzd6gHw9PkA8_r__7gEIgEg7t3_AusUABDcBQBQ6gD_CQ74AWXfEAEaBRkB8-4E_vEbGgAP-Rv__QHTAALz7QHyEhUA8_zm-wntwggt8RwC6PwVAREODf_y6wsB1iMJ_ynw4f0gDvUE8uL_-t0XHAH2BAADDf8S_Qgp6gAICuoFAAAA_DkF4gEICQMNEf_8BhkIAfwd-QgCEwD4BOUuDwEBCyn79OUB8fwN_AEO6vQFBfvx_ewO8gEIBwMMAt759PjqAQDvAPPx1fMK-Ovr-hUgAC3g4Sk7OBNACUhhUAIqzwcQABrAB0Eso74POjK8b_uUvP0cGTwrupq8OzNiO_HZGr6ydfw7OY-EvVTXmz3PkpE8r7j2O_jBgb5_6Pi8RGlPPUC9OT7iG6o5DKXYuc_AeL6TgU28iLYIvRQHUL6Tdn48ipoevT17wz39EEA91Q1vvDzprj3o1Lq7E2BmOpw5ATz2y467Ao5Su70sN7wAscA8U6K2vCGOWr1OFHc9BI6EPBwLej5zXJe8hMxfvM72DT1zi9S839Gxu5dSV76fo8A6tr_OPBEALD6WWxo92x3tPP92iT3RsQO7Lx45PJNRpTzBR448W-83vCZAqD2QqCs9b9GuvPzD1j1mgI87-_IXvFGH1b0VDlM9qFl7vCeSfj18-Yg94HyPPFdJmrwJOJ-8rpJZvFrXCTwxYIm87prKO5HWeD2fwja8EEnjPCx6jLx2ZWE8yS8su7g_1zwe8oG7KpFEPPhxtLxYHA488UdRvOrTlT1VhhE-LnDcut-Izr2SGTm8tqFPuqhOjD1WEQ49tGx3PPhmxT2_ooY9NkU2vN9mxj05tfO9hx8YPPnj7rtbYfq9hQK-O3MPKT1sMMO8ts6Ju69DNT1ovsm9ZzuRu0y6V71R54C8-TIsvLqYUD0fG1e9YmqmPLEkLz3oZ2o8aNTXO79rp7s6w7k81jV_vBKONDwmyjk90HLqu2wB57swR--9P5qgulSFiz0Pm-g9XqRROsWZVb07b-O9tG0uug6qkz0J6_W8Ki-_OjSTOTyZklY9ioYUO9mE6rwv1Cu83f1JOsm1Fz1Twp09mTO0t0FvsL19PxW9h-FFOXdf3zsJrWI8wk0DueVCZbykb9K8hj8OuPyzVb13PbK9hRswuEMIg71DlqC8X6cBuk_wKD25A1C9t1vst1Mekr1KG8i94XObNzdTobyzrxU5_TI1Oa_SuLzwajk8iV7wuEIG0bu2UM28i0UmuW0xyTwoSfK8tJ6sOI9LoT0U75u80m4hOCI8pT3lwoe9O4xSOYro9z0_kKw9gu5mOOcfOD0P77k9tGi5OPpYC73x9ZU9acbzuIsWgD1EKsG9fSojON9obDy9Yqc9sBqJNyL7AL7GXyQ9F5hlOAKKBzyfOaC9sxGdtwjSwD2Lkps94_F5OJv5mr0uJiw9112XN86Cqj3ECte9LPYmuTepqDxCvMS9ZF0YuNPLPj3nOeK9rWpaOCBNq73ORIc9Zzw0OB3jDDxnRt-9aVASuIiEzz1rsks9ibeFOGGL3TyUyzU8NcSNuEKn8TyV-s08w0FKuHCZrrxw-um8D2e4NyAAOBNACUhtUAEqcxAAGmAW-AAc8iXx5PMI3OXXFSjvAxG9DdP_ABAa_wf-6Nr6FerBJxD_BsM5xa8AAAAU9Q3lOgDdbuPc2iYX-Dy4wvwm8X8SEPLw9Abi3_r5z-D7PQfIFV4AAOSxQyr8xTUhGhogAC3CYis7OBNACUhvUAIqrwYQDBqgBgAAAEIAAIjBAADsQgAA4MEAALjBAAAkQgAArEIAAEDAAACOwgAAVMIAAOBAAABYQgAA4MEAABBBAACAvwAA4MEAALJCAACYQQAASEIAAMjBAAAQQQAAwEAAAIbCAACMQgAAwMAAAEBAAAA4wgAAmEEAAEBCAACAQAAABMIAAAhCAADAwQAAgL8AAEzCAABAQgAA0EEAAIhCAACgQQAAIEEAAIC_AABwwQAAQEEAAJBBAAAAAAAA0EEAAJBBAADAQAAAdEIAAIrCAAAAAAAAHMIAAEBAAABAQQAAoEAAABTCAAAgwQAAJEIAALhBAABAQgAATEIAACDBAABgwgAAKMIAADDCAABgwQAAWMIAAFzCAAAswgAAAMEAADBCAABAwAAAgMAAAEDBAADgQAAAosIAALDCAAAwwgAAEMEAAATCAACgwQAAHEIAAKjBAABwQQAAWEIAAEBCAAAUwgAAbMIAAJhBAAAwQQAAwMAAABhCAACYQQAARMIAACBCAACewgAA4EAAAIA_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_AADgwAAAEEIAAKjBAAAUQgAAAAAAAABAIAA4E0AJSHVQASqPAhAAGoACAABEvgAAFL4AAMg9AADoPQAAuD0AADE_AAAQPQAAeb8AAEW_AAB0vgAAQLwAAAG_AAC4vQAA2j4AAOi9AABEvgAACT8AAAQ-AACiPgAARz8AAHE_AAA8vgAAuj4AAJi9AABAvAAAjr4AAKg9AACYvQAAgDsAANg9AAAXPwAAsr4AAHQ-AAAQvQAA4DwAAKg9AACIvQAAmr4AABO_AADgPAAAmD0AAMa-AACIPQAAUL0AABS-AABkPgAA3j4AAAG_AACIvQAAur4AAAy-AADivgAALD4AAIg9AADIPQAA6D0AAH8_AAD-PgAALL4AAAw-AADIvQAAET8AAFA9AACgvCAAOBNACUh8UAEqjwIQARqAAgAAjr4AADw-AADIvQAAE78AAFy-AACAOwAA3j4AAEC8AABEPgAAQDwAAEC8AAAUvgAAmL0AANi9AABwPQAAUD0AAFA9AADuPgAAfL4AAOI-AADoPQAAED0AAFS-AAD4vQAAUL0AALi9AAAwvQAABD4AADy-AABQvQAAmD0AABw-AAAEvgAAEL0AADQ-AACgvAAAbD4AAFQ-AACKvgAAiD0AAEQ-AABEvgAAQDwAAIA7AACgvAAA4DwAAH-_AABwPQAATL4AAOi9AAD4PQAAND4AAOC8AAC4PQAAPD4AADw-AACYvQAA4DwAACw-AADIPQAAUL0AADy-AAAwPQAAdD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=Fs_W1_Fom_s","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":320,"cheight":240,"cratio":1.33333,"dups":["12408381090660532403"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1091059764"},"1389943109375860163":{"videoId":"1389943109375860163","docid":"12-3-5-ZE80ED9EB7DD81082","description":"#limit #partialfunctionlimit #syntax Limit of a piecewise function, limit continuity, limit graph, limit properties, syntax limit, limit topic explanation, limit problem solution limit syntax...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1032510/3f6600404efd9213ebe607331f66dc22/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/aU0HCAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=videoid:1389943109375860163","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin parçalı fonksiyonların limitleri konusunu anlattığı eğitim içeriğidir. Öğretmen, iki gündür rahatsız olduğunu belirterek dersine devam etmektedir.","Videoda parçalı fonksiyonların limitleri konusu detaylı olarak ele alınmaktadır. Öğretmen, kritik noktaların belirlenmesi, sol ve sağ limitlerin hesaplanması ve bunların eşit olması gerektiği konusunu örneklerle açıklamaktadır. Ders boyunca 44. sorudan 48. soruya kadar olan parçalı fonksiyon limit sorularının çözümü yapılmakta, ayrıca f(x) ve g(x) fonksiyonlarının limitleri, bileşke fonksiyonların limitleri ve mutlak değer fonksiyonlarının limitleri grafik üzerinden gösterilmektedir.","Öğretmen, limit hesaplamalarında dikkat edilmesi gereken noktaları ve hızlı çözüm yöntemlerini paylaşırken, öğrencilerin kendi başlarına çözmesi için alıştırmalar da sunmaktadır. Video, öğrencilere ilk beş testi başarıyla çözmeleri için motivasyon vererek sonlanmaktadır."]},"endTime":1366,"title":"Matematik Dersi: Parçalı Fonksiyonların Limitleri","beginTime":0}],"fullResult":[{"index":0,"title":"Giriş ve Geometri Kampı Duyurusu","list":{"type":"unordered","items":["Eğitmen, iki gündür rahatsız olduğunu ve geometri kitabını yetiştirmek için sabahlara kadar çalıştığını belirtiyor.","Yılbaşı itibariyle geometri kampına başlanacağı ve bunun için sabahlara kadar çalışıldığını açıklıyor."]},"beginTime":0,"endTime":47,"href":"/video/preview/1389943109375860163?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=0&ask_summarization=1"},{"index":1,"title":"Parçalı Fonksiyonların Limiti","list":{"type":"unordered","items":["Parçalı fonksiyonların limiti sınavda karşımıza gelebilecek, kolay ve zor olmayan bir konu olarak tanımlanıyor.","Parçalı fonksiyonların limiti için sağdan limit ve soldan limitin incelenip eşit olup olmadığı kontrol ediliyor.","Parçalı fonksiyonların limiti, süreklilik ve parçalı fonksiyonların türevi için önemli bir kısım olarak vurgulanıyor."]},"beginTime":47,"endTime":110,"href":"/video/preview/1389943109375860163?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=47&ask_summarization=1"},{"index":2,"title":"Parçalı Fonksiyonların Limit Hesaplama Yöntemi","list":{"type":"unordered","items":["Parçalı fonksiyonlar birden fazla parça ve aralıklara ayrılmış fonksiyonlardır.","Limit sorulduğunda, kritik noktada (parçalanış noktası) sağdan ve soldan limit hesaplanır.","Kritik noktada sağdan limit ve soldan limit eşitse limit vardır, eşit değilse limit yoktur."]},"beginTime":110,"endTime":342,"href":"/video/preview/1389943109375860163?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=110&ask_summarization=1"},{"index":3,"title":"Örnek Problemler","list":{"type":"unordered","items":["Örnek 1'de f(x) fonksiyonunun kritik noktası x=2 olarak belirleniyor.","f(2) değeri hesaplanırken limitle alakası olmadığı, sadece fonksiyon değeri olduğu belirtiliyor.","x=2 noktasında limiti inceleyince sağdan limit 6, soldan limit 5 olduğu için limit yoktur."]},"beginTime":342,"endTime":429,"href":"/video/preview/1389943109375860163?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=342&ask_summarization=1"},{"index":4,"title":"Kritik Nokta Olmayan Noktalarda Limit","list":{"type":"unordered","items":["Kritik nokta olmayan noktalarda (örneğin x=0) normal fonksiyon değerleri hesaplanır.","Kritik nokta olmayan noktalarda (örneğin x=3) fonksiyonun uygun aralıktaki ifadesi kullanılarak değer hesaplanır.","Parçalı fonksiyonlarla ilgili çok sayıda soru çeşidi olduğu ve bundan sonra mutlak değer konusuna geçileceği belirtiliyor."]},"beginTime":429,"endTime":491,"href":"/video/preview/1389943109375860163?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=429&ask_summarization=1"},{"index":5,"title":"Örnek Problemin Çözümü","list":{"type":"unordered","items":["f(x) fonksiyonunun kritik noktası x=3 olarak belirleniyor.","f(3) değeri hesaplanırken, eşitlikte olduğu için uygun ifade kullanılarak 8 bulunuyor.","x=3 noktasında limiti inceleyince sağdan ve soldan limit de 8 olduğu için limit vardır ve değeri 8'dir."]},"beginTime":491,"endTime":609,"href":"/video/preview/1389943109375860163?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=491&ask_summarization=1"},{"index":6,"title":"Parçalı Fonksiyonların Limiti","list":{"type":"unordered","items":["Bir fonksiyonun kritik noktasında limitinin olması için sol limit ile sağ limitin birbirine eşit olması gerekir.","Parçalı fonksiyonlarda limit hesaplaması yapılırken, kritik noktada fonksiyonun değeri (f(x)) önemli değildir, sadece sol ve sağ limitler karşılaştırılır.","Limit sorularında, kritik noktada fonksiyonun değeri sadece süreklilik için kullanılır, limit hesaplamasında ilgilenecek değiliz."]},"beginTime":610,"endTime":705,"href":"/video/preview/1389943109375860163?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=610&ask_summarization=1"},{"index":7,"title":"Parçalı Fonksiyonlarda Limit Örnekleri","list":{"type":"unordered","items":["Bir fonksiyonun her yerde limitinin olması için, kritik noktaların sol ve sağ limitlerinin birbirine eşit olması gerekir.","Polinom fonksiyonlar her yerde limiti olan fonksiyonlardır, bu nedenle sadece kritik noktalara bakmak yeterlidir.","Bir fonksiyonda birden fazla kritik noktası varsa, her kritik noktada sol ve sağ limitlerin eşit olması gerekir."]},"beginTime":705,"endTime":952,"href":"/video/preview/1389943109375860163?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=705&ask_summarization=1"},{"index":8,"title":"Fonksiyon Değerleri ve Limitler","list":{"type":"unordered","items":["Fonksiyonların limitlerini hesaplamak için, kritik noktaların sol ve sağ limitlerini bulmak gerekir.","Fonksiyonların limitlerini hesaplamak için, x'in önündeki işareti inceleyerek hangi parçanın kullanılacağını belirleyebiliriz.","Kritik nokta olmayan noktalarda, hangi aralıkta olduğuna göre fonksiyonun ilgili parçasını kullanarak limit değeri bulunabilir."]},"beginTime":952,"endTime":1107,"href":"/video/preview/1389943109375860163?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=952&ask_summarization=1"},{"index":9,"title":"Grafikli Parçalı Fonksiyonlar","list":{"type":"unordered","items":["Grafikli parçalı fonksiyonlarda limit hesaplaması yapılırken, kritik noktaların sol ve sağ limitleri karşılaştırılır.","İki fonksiyonun toplamının limiti, her iki fonksiyonun kritik noktalarındaki limitlerinin toplamına eşittir."]},"beginTime":1107,"endTime":1158,"href":"/video/preview/1389943109375860163?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=1107&ask_summarization=1"},{"index":10,"title":"Fonksiyonların Limitleri","list":{"type":"unordered","items":["f fonksiyonunun x=3 noktasındaki sağdan limiti 0 olarak bulunuyor.","g fonksiyonunun x=3 noktasındaki sağdan limiti 3 olarak bulunuyor ve bu değerle f fonksiyonunun limiti 6 oluyor.","f(x)+2g(x) fonksiyonunun x=3 noktasındaki sol limiti 4, sağ limiti 6 olarak bulunuyor, bu yüzden x=3 noktasında limiti yoktur."]},"beginTime":1162,"endTime":1222,"href":"/video/preview/1389943109375860163?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=1162&ask_summarization=1"},{"index":11,"title":"Bileşke Fonksiyonun Limiti","list":{"type":"unordered","items":["Bileşke fonksiyon f(g(3+)) için önce g(3+) hesaplanıyor ve sonucu 3 olarak bulunuyor.","g(3+) değeri 3 sol olarak belirleniyor çünkü grafik aşağıdan yukarı doğru geliyor.","Son olarak f(3-) hesaplanıyor ve sonucu 2 olarak bulunuyor."]},"beginTime":1222,"endTime":1279,"href":"/video/preview/1389943109375860163?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=1222&ask_summarization=1"},{"index":12,"title":"Mutlak Değer Fonksiyonunun Limiti","list":{"type":"unordered","items":["Mutlak değer fonksiyonunun limiti hesaplanacak ve bu konu belirsizliğe doğru ilerliyor.","Öğretmen, öğrencilerin sağ-sol limitin ilk beş testini öğrendiklerini belirtiyor.","Video sonlandırılıyor ve görüşmek üzere veda ediliyor."]},"beginTime":1279,"endTime":1323,"href":"/video/preview/1389943109375860163?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=1279&ask_summarization=1"}],"linkTemplate":"/video/preview/1389943109375860163?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Limit 8 (Limit of Piecewise Function) FULL 125 Questions IN PDF Explanations","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=-un4xlWByH8\",\"src\":\"serp\",\"rvb\":\"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_E9YKggQkAYAEKyqLARABGniB_vYE_wAAAO70__8BAgABDP76Cff__wDwAwjyAwEAAPcI-wH_AAAA7gTtBP0AAAD99_cC-v4AAA4O_f74AAAAFvgP-fcAAAD9EQEP_gEAAO3-APYCAAAAEAT48v8AAADwBAX8_v8AAP4IAwwAAAAABfz5_gAAAAAgAC0ettI7OBNACUhOUAIqhAIQABrwAX8a1v_T6eL_0tLV_50cJ_-aNwT_Cw3wALQsLQO09sQA6xz2APftqv8t1-__zBApAB4BwQDZvw4ANu0A_yQVBQDV8QoANfYEAS376ALlFvP_-RUH_-MOEAAT2fcAHA7k_e7xHv3M-vkD8frr_RHRBgYF1BICBPT-BtzqGgT_F_7869vX_Q4sHAPd3vn81RwiAv7pIPsAA_r3B-UA-e744gou1PkDHh3g_dDq4QHk_PwKKRIQ9vzf6_oXIyX-4QsG-vvoGv734PQDJSwL9zYvCQjjCwIA-tEDBioZDwHu9wn_-PH27_T1DAnRDP0U2PH0-SAALRjwDDs4E0AJSGFQAirPBxAAGsAHahbQvqyUGT1TDfe7oBRyvdu6AD3z7v68S9O2vZbLKz2s7ge9vD-OPd2TKDuJ4Cm9BFQ4vpahorsESL68_b10PpJUS70Dsew8ehcvvgg8MD0pn9S8bt9jvtVuRb0Gnhu9TSxQPlf8oD1SJpg6J8BwPfTOGbxPseq8hWB1vRsWXr2Bfjq8iQtwvrXEirxirRC9BSmCvJp-RL1mz688dzHtPY8AKb12lhE8NDzHPHADk731XTa8lWYOvSmdo7xE2zE86-AAPgLCoryHdJO8MUIYvcL6_zwxr4i8l1fOvaCpMrwQ_Lm8jX-fO6GOfT3_CS68GrWcPTHwt7ww4Sc7JjX0vX4DLj2rugI98H9sPWapwD3lZQk8erZdvWlAOD2PmsS7ipUsvOWfdDw34zS8ByZ3PVwNPzzN0im8N0yJPY39Nj3LKs-6mWucvRS6IjzBmKM8-HG0vFgcDjzxR1G8H8QpvAnK6bqSy2K7jZuavXOVOD3s-4u8u9ToPdV5VDycpfc522F9PX_WQT3euLk7xTVDPfhRDb4Jbyy7Yd6jPIY84r1ZSXG76q9bu93-prza02U79gWpPcG80bxvfPG7BnXLve8dhb1hFlW5jnXRPV_iWbybKo48f2wSvTMvTL2YA9a72L_GvMTeVTx_8TG8_tm6PSsSAz7LsVu55wfkvGiXj72ZtRi7Y6SdPWoGJz2Qn_A6jb-6OWFaLzxoj5s7li8ePa7Yj732P-G6ZlalPPbRab21bE47iVaTO7CFqryKAZa7DWFru7Y8hTxE3jQ7mcCIPfN23zzFB4q3wV2svOAk1bqZ0-Q4rFOlPB5Yabx_dqE576sSPc6mA74Woda3KR8nvfSlFrz1u487QrzEPemKpbv46jC5SgsXvgrcmr2pquG2LUEmvSJOzLuUfwu5noxbPcNiGLy1_my3xvIzPYncIj0Xfva3D1ImvGDuzbpCWCc4wMwXPplyTz2cQAA5QfEDPXFPwb3XOHs5klroPIvxqz26G9Y3CAMvvRS2qj0_6CU3Lk5BvcVvq7t6M1W47m5vPRRBHL0JFbG2mLyiOyLrgLtZcMA4Kr7LvaiyPr3nRpU3Xb8APb8ZC73JcmI440LUPD-SrTzcL8G2uDrFvT5CjbzC_zI4weMrPtylaLwHiXS5XEkBvcre0r0XIgS57gHfPNVdCb5HGMQ4rSRDvQxzRz0ewRY35NWevHqJ8b1lVTC4Iv_sPTUpBT7zflu4bSfAPOvD-jyaD7i4-zcUvYnONz2vDY-3xEDXvJgGNLyrgL42IAA4E0AJSG1QASpzEAAaYDTuAC7iGt8P9RT8Ef4NHdWw8NATvff_Ft7_0Bfu_g8ex5wh9wAexeXnngAAADgO1_EfAOh_xwPZLtn5BruPACXZZCfuHd_lCQGP5hAcGwLp4OQ_FQD_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_AACewgAAXEIAACBCAABAQgAAgsIAACBCAAAwwgAAAEEAAKbCAABAwQAAAEIAAGhCAACYQQAAYMEAAMBAAACgwQAAOMIAAPhBAAAAQgAAgEEAAIhBAAAwwQAA2EEAAMBAAAAEQgAAsMEAAIBBAAAAAAAAwEAAAJBBAACYwgAAUEIAADRCAABgwQAAuMIAAIBCAAA4QgAAgL8AAAAAAADwQQAAKEIAADBCAABQwgAAJEIAAODAAAB8QgAAgMAAAIrCAAAAwQAAIMIAAABAAADIwQAANMIAAGBBAAA0wgAADEIAAGxCAACQwQAA2MEAANDBAADAwQAAoMAAAMLCAABEwgAAAEEAALDBAACAvwAAaMIAAPjBAADAQAAAFEIAAKBBAAAAwQAA4MEAAADBAACgwQAAEMEgADgTQAlIdVABKo8CEAAagAIAAPg9AABUvgAAND4AABS-AACCPgAA6j4AAAw-AAA5vwAAXL4AAFQ-AAAMvgAAML0AADQ-AABcPgAANL4AAIA7AAAsPgAAQDwAAAQ-AAAJPwAAfz8AANi9AABUPgAAmD0AAKa-AABQPQAAkj4AAKA8AACyvgAA6D0AADQ-AACIvQAAcL0AAHA9AABMPgAAyL0AAMg9AACAOwAA4r4AAIi9AACevgAAsj4AAPg9AABsvgAAhr4AAHS-AACCPgAAFL4AAEA8AAAJvwAA4LwAAHA9AABEPgAA5j4AAFA9AAAEvgAALT8AAIg9AADgPAAAlj4AAFA9AAAMvgAAqD0AAKA8IAA4E0AJSHxQASqPAhABGoACAADovQAAVD4AAJK-AABJvwAAsr4AAHA9AACePgAAyD0AAIi9AAC2PgAAqD0AACy-AABUvgAAML0AADA9AADYvQAAuL0AAOY-AACAuwAA8j4AAPg9AABcvgAAgDsAAGS-AACgPAAA4DwAAAS-AACAOwAAMD0AABA9AAAwvQAAmL0AABC9AAAUvgAAcD0AAGS-AADYPQAAgDsAAJi9AAD4PQAADD4AAAQ-AAAUPgAAUD0AAHC9AABsPgAAf78AAOg9AAAQvQAAHD4AAEC8AACgPAAAyD0AAFQ-AADgPAAAcD0AAFC9AADYvQAAUD0AADy-AADgPAAAyD0AAHA9AABwPSAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=-un4xlWByH8","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["1389943109375860163"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1761408806"},"13255148618240898279":{"videoId":"13255148618240898279","docid":"34-10-3-Z637F7BA25C7D6591","description":"Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4599923/0ed2d5873b40e05d31d0cc8d850c198a/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/iuMrHgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dn9rdsSn215Y","linkTemplate":"/video/preview/13255148618240898279?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Class : 10th | MAT | Topic : Calendar Test | Date : 25/03/2020","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=n9rdsSn215Y\",\"src\":\"serp\",\"rvb\":\"EqsDChQxNTI0NTQ2OTM4NzY4MDk1ODE0OQoTOTAyMTA4OTMwOTYxMTUwODk4NwoUMTgyNTg5MTMwMTQyNDEwMTI0NjgKEzY1Mzg5ODEyMDI1OTg3MTMwNTkKFDEzOTM1Nzg4MjI4NDU0NTUwMTQ0ChM3MDEyMzUyMDE5MTUzODUxNTIxChQxMDQwNTU1MTY2NjM4OTU4Nzc5MAoUMTI0MDgzODEwOTA2NjA1MzI0MDMKEzEzODk5NDMxMDkzNzU4NjAxNjMKFDEzMjU1MTQ4NjE4MjQwODk4Mjc5ChMxNTA0OTY1NDk5MDE1NzgzMjcxChMzNTY2NTE5NTk3MDUxNzE2MzAxChM5Mjg3MDMzNzA2OTYzNjgwNzI4ChQxMTA4MzYxMjg0MzE0Nzk4NjM3NwoUMTI3MTMyNjQwODUyMDgwOTA4MTQKEzMzOTI3MTY2MzcwNjkwMDgwNDYKEjc4Nzg1OTA5Mzk5MjUwNzEzMAoUMTczNTYzMzIxNjg1ODk2NTE2MDEKEjg5MDg4ODQxNzAxMzg2ODMxOAoTOTE1MDE5NTAxNDg0NTcyNjYzMxoWChQxMzI1NTE0ODYxODI0MDg5ODI3OVoUMTMyNTUxNDg2MTgyNDA4OTgyNzlqtg8SATAYACJFGjEACipoaHlvaXplcHdveXpub2ZkaGhVQ1pISmE4bmpFN00wS2MzUWZfempCOEESAgASKhDCDw8aDz8TiA6CBCQBgAQrKosBEAEaeIH4CQ8BAAAA-_UO_wcF_QEQDfoCCf8AAOwC-wQAAAAA-wz8BvkBAADh_-_6AAAAAAD78Q34_gAADA37AgUAAAAR7Qj3-wAAAOMPAAL_AQAA6_8CCQMAAAATBAH9_wAAAPkFEwb-AAAA_gr5CwAAAAD28gT9AAAAACAALcoA0Ts4E0AJSE5QAiqEAhAAGvABfwkgAaoF0P0X9CL_DQTlAK0bCQD9MtQAvwX9AA8X4QAGAhgAxC29ASYa3wCmEgsB80Ly_uzi-wAo2A3_BeoFAOft9wAZ6vYBMAIIABn0DP_tBQoA5-QKASH_4AHsFMz_5MszAPL84_rU2MgGGOYrAhHyAv8H7NsB4OYAAM7_LgLyu9gA7xUeB_De__r3-hT7Ev4QB_At_gQAGw0EPPb-BBfQAQLtEPECAe_5ABQqCfvkA_8E8NfnAvsfEvj87OD9vdb8Be7mEfkz6f_-ACj8Ag4bAvsH2wgTEe3yAe_sAAkfCQr4FfMD6-Mb7fj9DAQDIAAt7OYZOzgTQAlIYVACKnMQABpgQPEAKMsIGO4f-PTW1-lQvb7Z3x3kFP8E8__b-wID9xL9mvLTAB0AFtGYAAAAONP8EPAAx3-yzgEhCAMw0qQCERZPFwLw2uId9Ojj5NLkvDoI5QkZANsMn1Y2HJ8kPzc-IAAtr2gYOzgTQAlIb1ACKq8GEAwaoAYAAADCAAAgQQAADEIAAAAAAACIwgAA2MEAAKhCAADQQQAATMIAAEBBAAAAQgAA8EEAAGDBAADAQAAAAEEAAIDBAACMQgAAuMEAACRCAAAMwgAAQMAAAOBAAADgQQAAskIAAMhBAAA4wgAANMIAAMjBAABgQgAA0EEAANjBAAAEwgAAYEEAAODBAACIwgAAYMEAAARCAABEQgAA4EAAAIC_AACowQAAkMEAAKBBAACowQAAjEIAACBBAAAgwQAAcMEAANhBAACwwQAAuMEAAMBBAABAwgAALEIAAJjBAABgQQAAEMIAAIC_AABkQgAASEIAAODAAACwwQAAaMIAACRCAACAwAAAPMIAANhBAAC6wgAAUMEAAKDAAACGQgAAEEEAAAAAAADAQQAAoEEAABzCAACMwgAAmMEAABDCAACgQAAAKMIAAEDAAABUwgAAbMIAAIC_AAD-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_AADoPQAAuD0AADA9AAAQvQAAHD4AAHQ-AADYvQAAgLsAADy-AAAEPgAAoDwAAP4-AAB_PwAAdD4AAFC9AADGPgAA4LwAAJi9AAA0PgAA4LwAAIo-AABkPgAAQLwAALi9AAAQPQAAML0AAKC8AACgPAAAML0AAIK-AABEvgAAuL0AAAS-AACIvQAAPD4AANi9AACAuwAAgDsAAPg9AABwvQAAgDsAAJK-AAC6PgAA0j4AAKC8AAAcPgAAFL4AAHC9AABBPwAAnj4AAHA9AAAEPgAA-D0AACw-AAAsPgAAgr4gADgTQAlIfFABKo8CEAEagAIAABC9AAC4vQAARL4AAEO_AACgvAAAED0AAOC8AAA0PgAA2L0AAHw-AABEPgAAML0AAMi9AAAUvgAA6D0AAJi9AADIvQAAJz8AAIC7AAC2PgAARL4AAIA7AACoPQAADL4AAIg9AAAMPgAAUD0AAIA7AADIPQAAmD0AAHC9AAAQPQAAuL0AAAS-AAAwvQAAXL4AAAS-AABwPQAAJL4AAAQ-AADgPAAANL4AABy-AACIPQAAJL4AAKi9AAB_vwAAUL0AAOA8AABwPQAAbL4AACS-AAAUvgAAgDsAAFw-AABAvAAA4DwAAKA8AABAPAAAgDsAAOg9AACYvQAAMD0AABC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=n9rdsSn215Y","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13255148618240898279"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1504965499015783271":{"videoId":"1504965499015783271","docid":"12-5-5-Z7AFF49B0A6333810","description":"#derivative #integral #aytcamp ayt math camp, derivative, definition of derivative, rules of differentiation, geometric interpretation of derivative, maximum-minimum problems, Mustache Math.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3238086/f0044d7f70933f271389842b553e13b2/564x318_1"},"target":"_self","position":"12","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DNnbjE_GQ1hI","linkTemplate":"/video/preview/1504965499015783271?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Derivative 8 Composite Function Derivative | AYT Mathematics in 80 Days | AYT Mathematics Camp","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=NnbjE_GQ1hI\",\"src\":\"serp\",\"rvb\":\"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_E-QNggQkAYAEKyqLARABGniB_QL7-fwEAPQJDgkEBf0BDv4GAvcAAAD98vX4_gT-AAD-8_4EAAAAAP8CBP4AAAD_7vUI_f4AAP_8_wP6AAAAHwz9-fsAAAACFPX4_wEAAPf6BQ4E_wAAEA39_f8AAAD6C_gC_gAAAPkAAREAAAAAAgL8DQAAAAAgAC2I7947OBNACUhOUAIqcxAAGmAZAQBMIQPx0gHn8OL9zRzrw_XY_brw_wELAAgs0uYFH_XWCuL_LNAbAbQAAAAbBPoHTADpZM_oqi4S_w613wf-Mn_7LQfkNhjn1fUQ7xfy8BTTGg8AI9_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_AADYwQAAJMIAABDCAADowQAAMEIAAKhBAAAUQgAAUMEAADjCAAB8QgAAQEIAAHDCAACMwgAAwEEAAIC_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_AABAPAAAf78AANq-AADgvAAAmL0AAPK-AABEPgAAND4AAFy-AADYPQAAPD4AAIA7AAAtPwAAAz8AAH8_AAC4vQAA4j4AAJi9AACevgAAuL0AABw-AAD4vQAA4LwAAOA8AAB8PgAAQDwAACQ-AAAQvQAAoDwAACQ-AABwPQAAbL4AAIa-AACevgAAgr4AAIY-AACqPgAA4LwAAPi9AAAwvQAAyD0AAI6-AACYvQAAAb8AAEQ-AADYvQAAMD0AALo-AABwvQAAcL0AAEU_AADWPgAAgDsAAFw-AACAuwAAMD0AAIA7AABQvSAAOBNACUh8UAEqjwIQARqAAgAAfL4AAFQ-AAD4PQAAIb8AAHA9AAAkPgAAZD4AAIi9AAAwPQAAgDsAADC9AABsvgAAiD0AAJ6-AACgPAAAoDwAAIC7AAA7PwAAEL0AAIY-AABwPQAAFL4AAHA9AAA0vgAAgLsAABC9AACAOwAA6D0AACy-AAD4vQAAqD0AANg9AAAMvgAAgDsAAMg9AAAkvgAAUD0AACw-AACmvgAAoLwAALg9AADIvQAAbD4AAMi9AAC4vQAAgLsAAH-_AABQvQAAUL0AABQ-AAAsPgAAMD0AAEA8AABwPQAAZD4AAIA7AAAwvQAAHD4AAHC9AACYPQAAoDwAADS-AACoPQAA2D0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=NnbjE_GQ1hI","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":2560,"cheight":1440,"cratio":1.77777,"dups":["1504965499015783271"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3410709007"},"3566519597051716301":{"videoId":"3566519597051716301","docid":"34-2-17-ZEA85828010649E92","description":"Calendar Part 2. MAT Topic. Logical Reasoning Explained in English. For NTSE, Bank, SSC, All Exams. Calendar Part 2. MAT Topic. ","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1384582/a651659a022c74a64e7cf169e5894ab8/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/wmkOpgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DIzxikc9afpM","linkTemplate":"/video/preview/3566519597051716301?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Calendar Part 2. MAT Topic. Logical Reasoning Explained in English. For NTSE, Bank, SSC, All Exams","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Izxikc9afpM\",\"src\":\"serp\",\"rvb\":\"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_AARBQcH_AILAO8B9v__AOwC-wQAAAAA_RAG-woBAAD0BfD7CgAAAAD78Q34_QAADQb0AwQAAAAW-BD59wAAAPEW_Qb_AQAA8ewK_QIAAAAeBQgJAAAAAPL4AAcAAAAAAvYBEwAAAAD79woBAP8AACAALXZQzjs4E0AJSE5QAiqEAhAAGvABcfUv_s_6-P8I8tgA_PDnAbr5Qv88FcEAgc4uAcvZ6QC-GhAB_9Hm_rst6__eHh__29HcACXq5gAvA9___-boABzi-ABo5wD_TNwJ_-QX8_8eGgr_9_ksASX_2wHoHuH-DhQl_xEH6QLO08EGC9FEA0ATHQTmFTcA8AgOAsAPDQDi2-wADi0dAwjyB_oL7h0HDeb8CeQgzwPsbBr49w3e_NkE8vsQ9_gHau73AhG59_jb6u0GAvHY-gjlLgjvFgX3-Q798iDN__z98BT3LeX2AA0E_fvk-e8P_yDfCP7-CvnmAvYBzfAG9Pj2FQ4m9PL_IAAtHNEHOzgTQAlIYVACKnMQABpgZwIASABAzjfyItXmvREw6-np5uTjF_8N4QA7NO-46Bfa0g8g_xvnGRWgAAAA9U3OKOQA4H8H6vYN1wL107HdDyFP-VU3q_QEGZznJxKv5_3j9iE8AAzYtOkcEaAhLgAmIAAtJ5QWOzgTQAlIb1ACKq8GEAwaoAYAAABAAAAUQgAAgD8AAIA_AACAwAAAUEEAACBCAAAYQgAAcMIAAEDCAACoQQAAjsIAAEzCAADqwgAAIMIAACDBAAB8QgAAEEEAANBBAADgwAAAxEIAAKhBAABAQgAAoMAAANDBAACwwgAAsMIAAKBAAAAoQgAAwEEAAIBBAABAQgAAoMAAAEBAAAAAwwAAEEEAANBBAAAcQgAAgEEAAIBAAABswgAAOEIAALhBAABgQQAA4EAAABDBAAAwQQAAIMIAAGxCAAAEwgAA6MEAAEDCAADowQAAIEEAABjCAABwQQAA-MEAAMDAAABgQQAA6MEAAJbCAACQwgAAFEIAAMBAAAD4wQAAEMEAAEBBAACgwAAApsIAAIDAAAAAQAAAkEEAAFDBAABAwAAAFEIAAEDBAABswgAA-MEAAHDBAABAwQAA4MEAAFBCAABkQgAAYMEAAJDBAACeQgAAHEIAAMhBAAAQQgAAgMEAAIA_AABAQgAA4EEAACDCAADgwAAAwMIAAIhBAACgwAAAIMIAADRCAAAgwgAAoEEAAMDAAACAwQAAjMIAADzCAADAwQAA8EEAAOBBAAAEwgAAgkIAAMrCAAAAwAAAQMAAAFBCAACcwgAAUMEAAKhBAAAgwQAA4EAAAEDBAACQQQAAiMEAAADCAAAIwgAAMEEAAMjBAACAQAAAFMIAAGDCAABcQgAAYMEAACDCAADgwQAAgMEAAHBBAADQwQAAjkIAACzCAABYwgAAgMAAANZCAACAPwAAYEEAACBBAACGQgAAWMIAAMDAAADAwQAAjEIAAAhCAADgwAAAoMAAAAzCAABwQQAAHMIAALjBAACowQAA-MEAABxCAACwwQAA2MEAAAAAAAB4QgAATMIAAGDCAABgwQAAjEIAAKBBAAC4QQAAEMEAAKhBAABgwQAAKMIAAADAAABUwgAANEIAAATCAACAwQAAgL8AAJjBAAAIwgAApMIAAHDBAAAIQgAAgL8AAKjBAAC4QgAAoMEAAMBAAADQwQAAAEEAANhBAADAQAAAmMEAAHhCAAA0QgAANMIAAPjBAAAgwSAAOBNACUh1UAEqjwIQABqAAgAAED0AAKC8AABsPgAA-L0AAFC9AAB8PgAAyL0AAC-_AAAQvQAA4DwAACQ-AACyvgAAEL0AADQ-AACIvQAAcL0AANi9AADgPAAAND4AAN4-AAB_PwAAUD0AAOA8AAAQPQAAVL4AAMi9AABAvAAAuL0AAIo-AABMPgAAFD4AAAy-AAAsPgAAgLsAADC9AAA8PgAAMD0AAAS-AAB0vgAABL4AAJq-AAAUvgAARD4AABS-AADYvQAARL4AAJ4-AAA8vgAAqD0AAK6-AACoPQAATD4AAEQ-AADoPQAAir4AAIC7AAAfPwAAoDwAAFw-AADIPQAAML0AAIg9AACCPgAA4LwgADgTQAlIfFABKo8CEAEagAIAAEC8AAAwvQAAUD0AAC2_AACIPQAAgDsAABA9AADIPQAAiL0AADA9AAAkPgAAuL0AADA9AABEvgAATD4AAJi9AAAQPQAAHT8AAIC7AACGPgAAuL0AAFC9AADIPQAAdL4AANg9AADgPAAA2D0AAFA9AAAwPQAA2D0AAIC7AACoPQAATL4AAIg9AACoPQAA6L0AAJi9AACCPgAAdL4AABA9AAA0PgAAPL4AAHA9AAAcPgAAdL4AAIC7AAB_vwAA4DwAAMi9AAAcPgAAVL4AAEA8AAAwPQAAEL0AAFA9AACAOwAA4DwAABA9AACAOwAA2L0AAIC7AACYvQAAgDsAAKA8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Izxikc9afpM","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["3566519597051716301"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2551017778"},"9287033706963680728":{"videoId":"9287033706963680728","docid":"34-6-4-Z3A5797DF83BC304B","description":"2025 TİLT Deneme Kampına hoş geldiniz! 💟 -💜 TİLT Denemeleri Satış Linkleri : ⚪Trendyol 👉🏻 https://ty.gl/0e2wmb1ve0kal ⚪Mert Hoca Resmi...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3886377/854ae01fda387ee2aa873f3291a01f48/564x318_1"},"target":"_self","position":"14","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DBLH4F3ogy7E","linkTemplate":"/video/preview/9287033706963680728?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"TİLT Denemeleri 02 ( Limit Türev İntegral Trigonometri Denemeleri) (2025)","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=BLH4F3ogy7E\",\"src\":\"serp\",\"rvb\":\"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_E9wYggQkAYAEKyqLARABGniB8P0KAP4CAPj8-gcBBv0B7_8B-vr__wDxAhEF_QH_AOrtCgAE_wAA-gj6EAIAAAAGDgj6-P4BAAj89f34AAAADfn4_P4AAAD4BvkA_gEAAPMECvICAAAAEQX2_QAAAADwBAT8_v8AAAf7-wYAAAAAAvcFBwAAAAAgAC3oDdc7OBNACUhOUAIqcxAAGmATAABNGNXRzlIFAR_cEwIeu_v4FKHj_xj-APRAybdG2w_S9SQAW-AB85gAAABJ-OwVJQAufwcIGu7wMQ7ssN0FIGJcHuf0LuHp2rThAxz6K_wGMhoAPODwzlLN0TQ3duQgAC1QsBE7OBNACUhvUAIqrwYQDBqgBgAASEIAABzCAAAQQgAAYEEAAKDBAACAQQAAcMEAALrCAABEwgAAdEIAAPBBAAAAwAAA4MAAACTCAAAAQQAAIMIAABBBAADYwQAADMIAAJrCAAA0QgAA4MAAAIDBAACIwQAAxkIAAGDBAABwwgAAgMAAAAhCAAAcQgAAnsIAADRCAACgwQAAQEAAAADBAAAYQgAAEMIAAFBCAADwQQAAwMEAAMBAAAA4QgAAEMEAAOhBAACAPwAA0MEAAEBBAAAwwQAAmkIAAMjBAAAAQAAAQEEAAIA_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_AACYPQAAJb8AABC9AADqPgAANL4AAAS-AAB8PgAAvj4AAAy-AABQvQAAbD4AACy-AACOPgAAJz8AAH8_AABUvgAA2D0AAEC8AACgPAAApj4AAMY-AAA0vgAArj4AAMg9AADgvAAAUD0AAGw-AABkPgAAhj4AAAm_AABEvgAAcD0AAIa-AAC4vQAAPL4AAI4-AADoPQAApr4AABw-AAAEvgAAoDwAAGy-AACYvQAAXL4AACw-AACmvgAA7j4AAOg9AAC4PQAAMD0AABU_AAAEvgAABL4AAKI-AAAQvQAAqD0AAFA9AABAPCAAOBNACUh8UAEqjwIQARqAAgAAyL0AAIY-AACAOwAAWb8AAOi9AABwPQAAxj4AAHA9AAAkvgAADD4AAFw-AABUvgAA2L0AAAS-AABQPQAAUL0AAGS-AAAzPwAAmD0AAFw-AABAvAAAsr4AAOA8AAAkvgAAqL0AAGS-AABEvgAAQLwAAEA8AADIvQAAcD0AAIA7AABMvgAABD4AAPg9AACSvgAALD4AAPg9AACGvgAAPL4AABQ-AADoPQAAQDwAAIA7AACgvAAATD4AAH-_AADoPQAAvj4AABC9AACmPgAAiD0AAFQ-AADgPAAAML0AAJg9AACgvAAAoLwAAHw-AAAUvgAAFD4AAKC8AABsvgAAUL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=BLH4F3ogy7E","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9287033706963680728"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"11083612843147986377":{"videoId":"11083612843147986377","docid":"12-4-17-Z044440EBA6BACB2E","description":"What Primary 2 Mathematics topics will you learn on Practicle? https://practicle.sg/primary-2-math/ *🚀 WHAT IS Practicle? Practicle is an...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2000509/90724d48c0c43b97dbc05ffc16fe7a54/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/WAZ7ugEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DFPFKtfDZxLk","linkTemplate":"/video/preview/11083612843147986377?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"What Primary 2 Mathematics topics will you learn on Practicle? #shorts","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=FPFKtfDZxLk\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TFYIEJAGABCsqiwEQARp4gfr__PcB_wD8ABEFBwf8Avn99vH4_fwA5Q_8-Aj9AQAGAwcEAgEAAPoL-wMCAAAA9fsKDPT_AQAFAuwHAgAAABMFBvn4AAAAEAD7Bv4BAADu-g75AgAAACUB_AT_AAAAAgEBAf_1A_8EBRMHAAAAABH9CgUAAAAAIAAtyzPOOzgTQAlITlACKoQCEAAa8AF4DAD9ziIFABfqFACBIwn_mCIMAHjeswDBFAT_-fLwAbMD1wHp6DAADO3q_gbtBf8t8un_YRsBACUGOf-5UfkACQO_AfvHCAP7ARgB7g8C_iHxAwAlKAYB3wLvANXbLf4yEs8A2_LwAfHiCgBA0hYC1gcLBvr7QAQlFt4FGvcLBa7-7f7ZKRj-CQ7v_vPcMgXzBgAEB_Ir-xMl9PwM_ssCIdz-_EzYA_lL4DUJ5A8OCvwS1gj0Gw___NLuAwssLPcj2SUC5AjqCOTeBgw89PIHBroH8gvq8wk2UvgM76Lt_gj14-7c8AME8BkiCAbwABogAC07wPM6OBNACUhhUAIqzwcQABrAB3pR475vUSC6hTJDPK2FKb7dfWk9lOmGOu1-1b076oO855RbvKPmC75wb0g8fnvNvPyMu75aUw-8xurFu4GyCT7tRyq9acMhPSDWhr1nQyM736CCPU_l1L369488uuwhPUVmXj6eYH-8OL8Bvb26dDze3Ek9WDjJPD0Mzb16EVI9mzwEPBgcKr2-Toq9Bg4LvIpbRT4gEqm9_SjPPBwLej5zXJe8hMxfvNdQir2HMhi8jXhXPNVDTz1ctDs92iTYu2n-KD6LXdM7RwsrPMnM5T3MHjK8dDauO000Qz2PD4S9ZfXYPLiklD0ghQa9Oj3Ou6je_zyzLa49kUNEvMxQS71Yy709HQbOPLZBlz3KFom8jgHZPP-W4D380Lu85z-9Onq3Iz0UjqU9uQD0PPCkBT564ta75YKOvJueYb0dPd49lqq8um1eCz2JTXo9EGIhO1Y-lTyPtuC8Gw2iO6c7b707a1y87g7ju5IdwLz3mKO8FelZPGCuZT2arze8kGXmu30J1T0RqrM66kKHOwFfGzygqbK8QswlvHn7vTwpN_a8CYeevM54kT0baxq99e9AOyx12rzAZHk9MCopvOEgxrxp5T4960dUvBb1bjwwkBa9gVxiO1V0mr2bVHQ92j4ePIupxD0lyVi9ZIEEvNw2Ir1RqEI93eraO81hLT0KQO08oEKiu3UBn73CxvE7vZ-Fu1KTRT3O_Gq8OmbRu5WNjT3qN5i9hVVvOvA5yz34qjW9SpxTuo6rdj2VjFI9EUWjuMwSOD1PeXS8lqQdOqrwSrv0fu07mWSiuk0tmzyJcB09ODbdOG7TCT1nLks8oaO-Ni2lOD3MGcC8B-mMOdqGtrzwFLK8opfVurxMs70yFEG819nuONYjqLwHsG29Q2ycudc7kjyF-mc9aF1ouLdETj2pewO5e7couJPY3jsDTE-9Rl8FuNp7pz0gbGe8MIIEuruPq7q1Bbo8Y_gFOb6eFD1Iccy7-L-duXIsGDyThIm9zQdkOGaNhT16hZq9lchKNnPxp72-YvQ7rT0auEWhQDwVXrg8aXz0t4xzCr0W6h89T_mKOEXLi713YRK86NQ7ttBhPrw-VlW9LXhGuEySQj3dmB66cUwHOPeopDyrIOu88XHeNoBHcbtmyn29N9xoOIrmAb0j13I8yr6StzfMtr37srA71nIGNiTES7yOotg8wO2rt7xPQDumQrw8-QR2t-0Nvrwjxwy986QAtxt31DzTJ2M9pTSguC742Tw8W9G8X4QoN-I__b0O3Sy99qbduCAAOBNACUhtUAEqcxAAGmAHIABFJgzZEP1B7u0E1xjyyT7HAiAp_0QJ_xD-zqTlDNLM-Bz_O-EU_aMAAAAr3evwJgDBfwvc0jgG6gWvsiAN8XbbDAGlECQh7CUY5hLgOQbEMyEA2NO8NfQX-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-EEAAEhCAAAQwQAAtMIAACBBAADAwQAACMIAAFDBAABAQQAAFMIAAEDBAAAgQQAAPEIAADjCAAAIwgAAIEIAAEBCAACowQAA0EEAAOhBAABkQgAAgL8AAIA_AADYwQAA0EEAAMjBAACAwQAApMIAAHxCAADYwQAAIEEAAARCAADgQAAAyMEAABRCAABwQQAA4MEAAODAAABEwgAAQMIAAARCAAAUwgAAGMIAALjBAABwQgAAZEIAAIA_AACSwgAAuMIAALrCAACYwQAAVEIAAMDBAAAIQgAAiMEAAJhCAAAUwgAAwEEAAJ5CAAAQwQAA0MEAAADBAABAQgAAgL8AABzCAABwQQAAuMEAABDCAABUwgAA2EEAAPDBAAAAwAAAQMAAAERCAADQwQAAuMEAAERCAADIQQAADMIAAGBBAAAgQQAAEMEAAODAAACowQAAIEIAAEDBAABwwgAAzMIAADxCAADAQQAAAMIAAHDCAACwQQAAkEEAADhCAAAowgAAqEEAAGxCAABYQgAALEIAABzCAACEwgAAQEIAAKBCAACIwQAAkEIAABDBAACgwQAAgEAAAEDAIAA4E0AJSHVQASqPAhAAGoACAACavgAAmL0AABC9AABcPgAAJD4AAAU_AAA0vgAAX78AAOq-AACgvAAAqD0AALK-AAAQPQAAyj4AAJi9AACSvgAA2j4AAIA7AADGPgAAJT8AAH8_AAAcvgAAkj4AAIi9AAA8vgAAor4AANg9AABQvQAABD4AAEw-AADiPgAAiL0AAHS-AACAOwAABD4AAJg9AACAuwAA6D0AAPK-AAAsvgAALL4AAIC7AADIPQAAQLwAAEA8AADIvQAAkj4AAAm_AACAuwAAyr4AAHS-AADOvgAAhj4AAAQ-AADYPQAA4DwAAEU_AACKPgAAXL4AADw-AABUvgAAgj4AAKA8AAAQPSAAOBNACUh8UAEqjwIQARqAAgAAuL0AAEA8AACCvgAAL78AALK-AAD4PQAArj4AACw-AAAUPgAAqL0AAMg9AACYvQAAFL4AABA9AABQPQAAiD0AAJg9AAC6PgAATL4AAAc_AABkPgAAHD4AANi9AACKvgAAFL4AAIg9AADIvQAA6D0AAIa-AADoPQAAPD4AALg9AAAcvgAAgLsAAII-AACovQAAqD0AADw-AACWvgAAqD0AAKo-AAAQvQAAMD0AAAw-AAAcvgAAED0AAH-_AAAUPgAAML0AAJi9AACovQAAtj4AAAS-AAC-PgAAxj4AAGw-AACovQAAiL0AAEQ-AAAUvgAAUL0AAOC8AAAkPgAA6D0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=FPFKtfDZxLk","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1080,"cheight":1920,"cratio":0.5625,"dups":["11083612843147986377"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1187615337"},"12713264085208090814":{"videoId":"12713264085208090814","docid":"34-7-8-ZBCC06E1345586746","description":"Paper Folding. MAT Topic. Nonverbal Reasoning in English. For NTSE, Bank, SSC, All Exams. Paper Folding. MAT Topic. ","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4318862/4b51cef58d1e4359f1acd8fd29d367ba/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/I9xqjAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DrCxORej8JQE","linkTemplate":"/video/preview/12713264085208090814?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Paper Folding. MAT Topic. Nonverbal Reasoning in English. For NTSE, Bank, SSC, All Exams","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=rCxORej8JQE\",\"src\":\"serp\",\"rvb\":\"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-gDx_Qr-DgP-ARHy-QL1AP8A8u0A_fcC_wAOAQP2-QAAAOoL9ggHAAAA-wMEBfT-AQANEe0AAwAAAAUABOv6AAAA8Bj9B_8BAAD48gzvAgAAABQLCQH_AAAA-BD7Ev8AAAAY9wUQAAAAAP7tBPcAAAAAIAAtHI_BOzgTQAlITlACKoQCEAAa8AF_3CYAkukF-v3HIf_9-dABnjIo_1L-Ev-y7wwB3y29AREj7gEn3yQBANP5AJXtCgD6zxz_DiEeACXiKgAo7ggAyQ8yAEnv3QA46yUA_hYO__gWB__vAQ8DLt7UAvrYyf78Ewv9TQH1AgYz0wMR_kQB6TscA-YG2wIR6gMA8_cF_UET3_no-O3__Bz9ABLaLAUfI_kLJx8T_M_4DwAAEvIL3AMA_vwC8vsDG9sI1zgSAxHvBv0QAA0CGAgVB9kp4v7rHvr50-IA9x0bEfYM9vMPCvH7_xL_8AIBEgzu8vL6_c72Bv75Bwr0Au0LF_m6-hEgAC18swY7OBNACUhhUAIqcxAAGmBf_wBG6VsDGe8vyOu4CR0F6MzxNsgJ_-PR_yUd4M8jHs_eEikABckeDpwAAADOK95JEQDifwK8BRffEQG-qesk_XH_HAbB_BIjsQkgCOcIDEogIT8A0srkNywKojVJAzcgAC2MLhM7OBNACUhvUAIqrwYQDBqgBgAADMIAADDBAACAPwAAkMEAAKDAAADYQQAAmEIAACBCAAAcwgAAsEEAABBCAABUwgAAVMIAAK7CAADIwQAAwEAAABhCAADoQQAAIMEAABzCAAD-QgAAEMIAAIC_AAAMwgAAAMEAAFTCAACowgAAwEAAADRCAADAQQAAFEIAAJhBAACMwgAA4MAAAKLCAAAgwQAAWEIAALhBAACAwAAAgkIAAFzCAACKQgAAjkIAABBBAAD4QQAAEEIAALBBAAAgwQAAYEIAAAjCAACIQQAAjMIAAIDAAAAwQQAAAMEAACxCAACMwgAAcMEAAADAAABwwQAAUMIAAAjCAABAQAAAEMEAAEBAAAAgQQAAYEIAADBBAACYwQAAoEEAAJjBAAAwQQAAoEEAABBCAACAwAAAwEAAAIDBAACIwQAAXMIAACTCAACgwQAANEIAAGxCAACAwAAAAMIAAOjBAACAwAAAJEIAAMBAAAAAwAAAwEAAAABBAADgQQAAssIAAIA_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-AACovQAA4LwAAKY-AADWvgAAH78AAEC8AACoPQAAPD4AADy-AADIPQAAgDsAANi9AACYvQAAQDwAAOC8AADgPAAAAT8AAH8_AAA8PgAA2L0AANg9AAAQPQAALL4AADA9AACgvAAA-D0AACQ-AACAOwAA2L0AAOg9AAA8PgAAMD0AABC9AACYPQAAuL0AABS-AAB8vgAAmr4AAEy-AABMPgAA-L0AABC9AACCvgAAHD4AAOi9AAAQPQAAnr4AAOg9AABUPgAAMD0AAFw-AADyvgAAiL0AACE_AACYPQAAZD4AANg9AADovQAA4DwAAEw-AADIvSAAOBNACUh8UAEqjwIQARqAAgAAyL0AAOC8AADoPQAAFb8AALg9AACgvAAA6D0AABA9AABQvQAAQDwAAJi9AAC4vQAAyL0AAGS-AAD4PQAAEL0AADA9AAAjPwAAyL0AAJ4-AADYvQAA6L0AAHC9AAAsvgAAmD0AAEA8AACgvAAAQDwAADA9AAAMPgAAQLwAACQ-AADYvQAAQLwAABw-AACgPAAA-D0AAIo-AABEvgAAcD0AAIY-AAAcvgAAQDwAAIg9AABcvgAAiL0AAH-_AADIvQAAHL4AAAw-AABAPAAAgDsAADw-AADIvQAAmD0AAOC8AACAOwAAML0AAAy-AADgPAAAoDwAAHA9AACAOwAAiD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=rCxORej8JQE","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["12713264085208090814"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1185609950"},"3392716637069008046":{"videoId":"3392716637069008046","docid":"34-3-8-Z8510BEDADC14E886","description":"Shape Construction. MAT Topic Nonverbal Reasoning in English. For NTSE, Bank, SSC, All Exams. Shape Construction. ","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1222233/15e781fcbc0656935af4e76614b4832c/564x318_1"},"target":"_self","position":"17","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DOVoW_Rr-L-I","linkTemplate":"/video/preview/3392716637069008046?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Shape Construction. MAT Topic Nonverbal Reasoning in English. For NTSE, Bank, SSC, All Exams.","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=OVoW_Rr-L-I\",\"src\":\"serp\",\"rvb\":\"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_Av4A8goFAQMD_gH79fwG-f39AOn1Afz5_wEA-_0H7f0AAAD5C_sDAgAAAPX4__7y_gEADw79_vcAAAAH-Qf49AAAAPcQ7gH_AQAA8ewK_QMAAAAVBBMCAAAAAPcK_wn8AAAAEAIOCwAAAAAY8v8NAAAAACAALTCYyjs4E0AJSE5QAipzEAAaYCkNACPsHSfR_Ab43OTtHBj81_EF0Qb_-NYAJSL06gwR4O8EAv8V2A39wQAAAO0u5isjAAhICvnzFwcDCMTlBQwLfxAr8gUbAgnsJBwDJRrw7gEnFQD_7xnvG-fSSyYNBCAALSFDXzs4E0AJSG9QAiqvBhAMGqAGAAD4QQAAiEEAACBBAAAAQQAAIEEAAGDBAAA4QgAAAMIAAJjBAADAQAAAjkIAADDCAADIwQAAtMIAAABAAABAQAAAQMAAAIDAAABAwQAAMMEAAP5CAADgQAAA8EEAALDBAAAQwQAAqMEAADDCAAAAQQAASEIAAExCAAA8QgAAiEEAADzCAACAvwAAsMIAAIDAAADIQQAA4MEAAJjBAAAIQgAAUMIAADzCAABsQgAA6EEAAERCAADAQAAAkMEAAHBBAADqQgAA4EEAAOBAAACYwQAAwMAAAFDBAAAgQgAAgEIAAJ7CAACAwAAA0MEAAEDBAAD4wQAAsMEAAKBAAACAwQAA-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_AADAwQAAUEIAAEzCAACgwQAAAMAAAFTCAADIQQAAgkIAACjCAACQQQAA-MEAADTCAAD4wQAAMEEgADgTQAlIdVABKo8CEAAagAIAAOC8AACAOwAA1j4AABy-AABAvAAA3j4AANi9AAA7vwAA6L0AALg9AAA8PgAAwr4AACw-AAAwPQAAoLwAAKC8AACIPQAAgDsAAKg9AAABPwAAfz8AACQ-AABwvQAAuD0AALi9AABUvgAAND4AAJi9AACYPQAATD4AANg9AACYvQAADD4AABw-AADgPAAAmD0AABQ-AAC4vQAAHL4AACS-AADGvgAAqL0AACw-AADYvQAAgDsAADS-AAAsPgAAPL4AAIA7AAC6vgAAND4AALg9AABMPgAAlj4AAKK-AAAQvQAANz8AAJi9AAA8PgAA-D0AAKi9AAAMPgAAdD4AAKi9IAA4E0AJSHxQASqPAhABGoACAAAEvgAA6L0AAAQ-AAArvwAAVD4AAEC8AADIPQAAEL0AABy-AAAwPQAAiD0AAOi9AAAwvQAAlr4AAKg9AABQvQAAMD0AACk_AADgvAAAXD4AAKi9AAAQPQAAMD0AADS-AACoPQAAcD0AAKC8AADgPAAAuD0AANg9AAAQPQAADD4AADS-AABQvQAA6D0AADC9AADIPQAAPD4AAIK-AABwPQAAfD4AACy-AAAQvQAA-D0AAJa-AACgvAAAf78AANi9AAD4vQAARD4AAOC8AABwvQAARD4AAAS-AADYPQAAUL0AAKA8AABAvAAABL4AAAS-AAAwvQAAED0AAIC7AAAQPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=OVoW_Rr-L-I","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3392716637069008046"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"787859093992507130":{"videoId":"787859093992507130","docid":"12-4-2-ZF7461ECA181F37A2","description":"What Primary 2 Mathematics topics will you learn on Practicle? Practicle covers the latest MOE Primary 2 Singapore Math syllabus as follows: ✔️ Whole numbers ✔️ Addition ✔️ Subtraction ✔...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3415088/fa809d0b1acf20d66369f575cd8fdcf9/564x318_1"},"target":"_self","position":"18","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DScDSPNYTQbo","linkTemplate":"/video/preview/787859093992507130?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"What Primary 2 Mathematics topics will you learn? | Practicle Math Singapore #shorts #maths","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ScDSPNYTQbo\",\"src\":\"serp\",\"rvb\":\"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-vf8-f8BAPwAEAUHB_wB9fj7_Pr-_QDuBPz4BQAAAAL7BPsDAQAABAb3AQIAAAD8-AcL__4AAAQC7QYCAAAAERL-9vwAAAARBQAN_gEAAO76DvkCAAAAHgII-_8AAAAIBfz9BAEAAAQFEgcAAAAAEAcMDP8AAAAgAC0rMtc7OBNACUhOUAIqcxAAGmD2HgAlQA7i3_MS4-wJ0hz75jbd8QMG_xb-_wP55bYBAcvCFSX_F8ch3rEAAAA10O3vGACtaiO_uBYZ3gzCwgbyB3_TGwjxBxTm7hALziIGLwuyAiAA2QDQLggS-jEaRikgAC1ndiw7OBNACUhvUAIqrwYQDBqgBgAAkEEAAKxCAAA8wgAAMEEAANDBAAAkQgAAgD8AAFjCAACAQQAATMIAAFhCAAAUQgAAYEEAAAjCAACCQgAAQEAAAAAAAACAQAAAQMIAAATCAABwQQAAGEIAABzCAAAUQgAAkEEAAIjBAACuwgAALMIAABRCAAAoQgAA4MEAACjCAACWwgAABEIAAJDCAACAPwAAPMIAAKJCAABAwgAAGMIAAChCAAAAAAAAjkIAAMBBAAAEQgAAdEIAAHBBAABEwgAAjkIAAOBBAABAwAAAKMIAAOBBAADAQAAALEIAAHBBAACwwgAAPMIAAAjCAAA4QgAAIEIAABBCAAB0wgAANMIAABRCAAC0QgAA6EEAANBBAAC4wQAAgEEAAEBBAACUwgAAkEIAADBCAABAwQAANMIAAETCAAD4wQAAwMEAAERCAABwwQAAgMAAADDBAABYQgAA-MEAACBBAADIwQAAIEEAADDBAAAAwAAAQMAAAPhBAACIQgAAoMIAAHhCAADGwgAAgEAAAJZCAAB0QgAAYEEAAIjBAABAwQAAsEEAAKDAAACWwgAAOMIAAAzCAAAgQQAAcMEAAKDAAABMQgAAiEEAAMjBAADIwQAAikIAAMDAAAB4wgAATMIAALhBAAB8wgAAiEEAAADBAACIQQAA6MEAAGBBAAAAQQAAFMIAANjBAADQwQAA-MEAAHhCAAAEwgAADMIAAFDBAACAvwAAUEEAAABBAAAIwgAAEMIAAGDCAADYwQAAuEEAAABCAACQwQAAMEEAABRCAACAwQAAgkIAAEBBAABgQQAAJMIAAHDBAAAMQgAAAEAAAETCAACAPwAAIMIAAKjBAAAIwgAABEIAAEjCAABwQgAATMIAAGBBAADAwAAAcMEAAK5CAADowQAAGEIAAEDBAACowQAAyEEAALBBAACAQAAAMEEAAABCAABQQQAAEMIAADBBAABsQgAAQMAAAHTCAAB0wgAAoEEAADBCAACGwgAAwEAAAIJCAAB8wgAAgL8AADhCAABUwgAAcMEAAKBBAAAwQQAAPEIAAJDBAABgQQAAbMIAAAzCIAA4E0AJSHVQASqPAhAAGoACAACmvgAAuL0AAIg9AADYPQAAPD4AAP4-AABMvgAAVb8AAM6-AAAQvQAAUD0AALa-AACIPQAAkj4AAFC9AAB8vgAA4j4AAEA8AACiPgAAFT8AAH8_AADgvAAAkj4AAIi9AAAcvgAAqr4AABw-AADgvAAAbD4AAFw-AADCPgAAgDsAAHS-AABAPAAAgLsAAIC7AACAOwAADD4AAKq-AABcvgAANL4AAIi9AACoPQAAoDwAABC9AABwvQAAZD4AAAG_AACgPAAAgr4AAPi9AABsvgAAbD4AABQ-AACYPQAAgLsAAFE_AACCPgAALL4AAPg9AABMvgAAfD4AABA9AADovSAAOBNACUh8UAEqjwIQARqAAgAAUL0AAKg9AACovQAAG78AAKq-AACYPQAAmj4AAEw-AADoPQAAmL0AAEC8AAA8vgAAqL0AAIC7AACAOwAAMD0AAJg9AADiPgAANL4AAM4-AAB8PgAAcD0AABS-AABkvgAA6L0AABA9AADYvQAAyD0AAEy-AAA8PgAADD4AANg9AAA0vgAAoDwAADw-AABwvQAAND4AAPg9AACevgAAiD0AAI4-AAAwvQAAqD0AABQ-AADIvQAAcD0AAH-_AABEPgAAiL0AALi9AACAOwAAkj4AAKi9AAB8PgAAwj4AAEw-AABQvQAAEL0AAAQ-AACgvAAAoLwAAIi9AAC4PQAAqD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=ScDSPNYTQbo","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":405,"cheight":720,"cratio":0.5625,"dups":["787859093992507130"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17356332168589651601":{"videoId":"17356332168589651601","docid":"34-2-5-Z8B1ECA90ED0A963D","description":"In this online lecture, M.Naveed Jafar explains ECAT Mathematics Chapter 8 Mathematical Induction and Binomial Theorem.The topic being discussed is Topic Mathematical Induction & Extended...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4361985/d9bb36a7491ebb3a0553adc23f55a336/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/xDCfQwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DZa4QzGuAKp8","linkTemplate":"/video/preview/17356332168589651601?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"ECAT Maths Lecture Series, lec 1, Mathematical Induction & Extended Principal- Ch 8","related_orig_text":"ILL MAT - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ILL MAT - Topic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Za4QzGuAKp8\",\"src\":\"serp\",\"rvb\":\"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-wMDDwsJ-gIVCvv89AICAAb5-gL8A_4A7QAF_g4AAAAGA_wKCgAAAAD78A74_QAAHAbu_gQAAAASE_71_AAAAAsQAwD-AQAA__QECQT_AAATCgkB_wAAAP0P7_v_AAAA_AMOEAAAAAD6-QEEAAAAACAALUzFxjs4E0AJSE5QAiqEAhAAGvABfwTq_8co9v_23NkA_C4BAZYUDP82AAb_xxEiAZLp1v8ZDfYBv-_o_wzfGP_7QBf_ZBL2_xLvDAES2AUABfP2AdMYCQBRy_YBPg3vAOPz1QCuBvoAK-L5AO344AAO_-QA_woa_QD_7AD29N0GHekWAwPuEQIS7_0E_-AK-vNECf3k9tn9CAgQCOnaE_zBIBgD_fr2BQ7_FPz9-_oHFMrn_x8C_fwcGuL99vPiA84I7wzvJQ73_Afn8hs-FAbd7QT7A98M__Tw8gcMGg4A7Pkc_QztEvvL6AABFxAJDgTcGALqDvkSC_P0AOcU_ATx5vP-IAAtrqMZOzgTQAlIYVACKnMQABpgK-4A-gstI7jxLvoS5-zw88T20CjzAv_83_8B79_gFwW8uQ4t__rRGtijAAAAMN3pCDQAzn_4xt857uMVl9wGJBh88RkOsgch5tz39v_oK1YF8wckAPbwlkAy26AYHFkOIAAt8Y8aOzgTQAlIb1ACKq8GEAwaoAYAAPhBAADgwAAAYEIAAKDAAABswgAACMIAAAAAAAAAQAAA4MAAAADCAAAEQgAAKEIAAPjBAABkwgAAlkIAAEDAAACAPwAAUMEAAGDBAACAwgAAgEIAAHDBAABkwgAAZEIAALpCAABgwQAAMMIAAI7CAACAQAAAUEIAAIBBAAD4QQAAKMIAAABCAAB4wgAAQEAAANDBAACcQgAAiEEAAKBAAABAwQAA8MEAAIA_AACQwQAAaEIAAGzCAAAYwgAAIEEAALJCAACQwQAA-MEAAIA_AACAwAAADEIAANhBAAAEQgAAVMIAAAxCAAAgwQAAKEIAANhBAACowQAAhMIAACBBAACAQAAAyEEAAFxCAAA0QgAAAMIAAIBBAAAcQgAAAEEAAADBAACwQgAAwEAAAAjCAADgQQAAEMIAAMDBAACAPwAA4MAAAOBBAACAvwAA_kIAAATCAACuQgAAXMIAAKDBAADAQQAAgMIAAEBAAACYQQAAAMAAAHzCAAAUwgAANMIAAEDBAADAQQAAZEIAACDCAAAgwQAAeEIAADRCAACEwgAARMIAAKDBAAAEwgAA2EEAAIjCAADoQQAAYEEAAOjBAACQwQAARMIAAHBCAACwwQAAaMIAAKDBAADgwQAA2MEAAMDBAAAIwgAAREIAAKDAAADgQQAA8EEAAIDAAABwwgAAiMEAAGTCAACYQQAABMIAAHDBAACoQgAAyMEAADBBAABQwQAAmEEAAIbCAABQwgAAQEAAADxCAAAgQgAAMMEAAKDAAACAwAAACMIAAOBBAACIwQAA4EEAANhBAABkQgAAuEEAAAzCAADgQAAASEIAAKBAAACQwgAAKMIAAKJCAABAwQAAIMEAAKhBAADgQAAAqEEAAIBBAAA8QgAA2EEAAERCAADQQQAAksIAACRCAAAAQAAAMEEAACDBAADoQQAAoMAAACBCAACYQQAA8EEAAJjBAAD4wQAAoEEAAEDAAAAwQQAAEMIAACTCAABQQgAAgD8AAMDAAABAwAAA0EEAAODBAACgQAAANEIAAABCAABYwgAAuMEAACDCAAAowiAAOBNACUh1UAEqjwIQABqAAgAAED0AADA9AACCPgAAoDwAAAy-AADWPgAARL4AADe_AACCvgAAcD0AAIC7AACWvgAADD4AAHA9AAB0vgAAuL0AALg9AABQvQAAmj4AAP4-AAB_PwAAUL0AABQ-AAAQvQAALL4AABy-AADoPQAA-L0AACy-AABcPgAAVD4AACS-AAD4vQAADD4AAEA8AAD4PQAAcD0AADy-AADOvgAApr4AAHS-AACoPQAARD4AAOC8AADovQAAED0AAMY-AAAEvgAAyL0AAAW_AACGvgAAuL0AABw-AACWPgAAVL4AAIA7AAAhPwAA6D0AAEC8AABsPgAAgDsAAFw-AAC4PQAAFL4gADgTQAlIfFABKo8CEAEagAIAADC9AAA0PgAAQLwAACW_AAAkvgAAgLsAACQ-AABQPQAAoLwAACQ-AADgvAAANL4AAEC8AAA0vgAAgLsAABC9AABQPQAAGz8AAKi9AAC6PgAAQLwAAPi9AADYvQAAZL4AAJg9AAAQPQAAyL0AAOA8AAAEvgAADD4AAEC8AACoPQAAML0AADC9AACIPQAAFL4AAJg9AAAUPgAAbL4AAIC7AAD4PQAAyL0AAIA7AABAPAAA6L0AADC9AAB_vwAAiD0AADy-AAAwPQAALD4AAHA9AADgvAAAiD0AAIg9AADgPAAAEL0AAOA8AABAvAAAmD0AAIg9AACYvQAAiD0AABA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Za4QzGuAKp8","parent-reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["17356332168589651601"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"109067925"}},"dups":{"15245469387680958149":{"videoId":"15245469387680958149","title":"\u0007[ILL\u0007] \u0007[Mat\u0007] "Relationship goals" ft richie D","cleanTitle":"ILL Mat "Relationship goals" ft richie D","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=imrSKXEmy7c","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/imrSKXEmy7c?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":"d3d3LnlvdXR1YmUuY29tO1VDa2NfWEV1ZmpLbmpuRkN6RVNCaFA4Zw==","name":"ILL MAT","isVerified":true,"subscribersCount":0,"url":"/video/search?text=ILL+MAT","origUrl":"http://www.youtube.com/@illmat6062","a11yText":"ILL MAT. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":300,"text":"5:00","a11yText":"Süre 5 dakika","shortText":"5 dk."},"date":"15 tem 2019","modifyTime":1563148800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/imrSKXEmy7c?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=imrSKXEmy7c","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":300},"parentClipId":"15245469387680958149","href":"/preview/15245469387680958149?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/15245469387680958149?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9021089309611508987":{"videoId":"9021089309611508987","title":"Go Bizerk","cleanTitle":"Go Bizerk","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7zk7zALU69M","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7zk7zALU69M?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":"d3d3LnlvdXR1YmUuY29tO1VDa2NfWEV1ZmpLbmpuRkN6RVNCaFA4Zw==","name":"Ill Mat - Topic","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Ill+Mat+-+Topic","origUrl":"http://www.youtube.com/channel/UCpScg_golFe-jaKRUJ-l3mA","a11yText":"Ill Mat - Topic. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":181,"text":"3:01","a11yText":"Süre 3 dakika 1 saniye","shortText":"3 dk."},"date":"23 mar 2024","modifyTime":1711201315000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7zk7zALU69M?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7zk7zALU69M","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":181},"parentClipId":"9021089309611508987","href":"/preview/9021089309611508987?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/9021089309611508987?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"18258913014241012468":{"videoId":"18258913014241012468","title":"Cranked","cleanTitle":"Cranked","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=P5aAAvSf_lE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/P5aAAvSf_lE?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":"d3d3LnlvdXR1YmUuY29tO1VDbklORldEcGIzMW9TZHRXRl9OTFY4QQ==","name":"ILL MAT - Topic","isVerified":false,"subscribersCount":0,"url":"/video/search?text=ILL+MAT+-+Topic","origUrl":"http://www.youtube.com/channel/UCnINFWDpb31oSdtWF_NLV8A","a11yText":"ILL MAT - Topic. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":221,"text":"3:41","a11yText":"Süre 3 dakika 41 saniye","shortText":"3 dk."},"date":"4 ara 2019","modifyTime":1575423034000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/P5aAAvSf_lE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=P5aAAvSf_lE","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":221},"parentClipId":"18258913014241012468","href":"/preview/18258913014241012468?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/18258913014241012468?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6538981202598713059":{"videoId":"6538981202598713059","title":"Calculus 1 - 1st Midterm Derivative Questions | \u0007[Topic\u0007] Summary (Math 101-103-119, General Math)","cleanTitle":"Calculus 1 - 1st Midterm Derivative Questions | Topic Summary (Math 101-103-119, General Math)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=CCvIC9lk9rc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/CCvIC9lk9rc?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":"d3d3LnlvdXR1YmUuY29tO1VDUzgtSWtuUWQ1UkJ0a3hBZW5xNFMtZw==","name":"Tunç Kurt Matematik","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Tun%C3%A7+Kurt+Matematik","origUrl":"http://www.youtube.com/@Tun%C3%A7KurtMatematik","a11yText":"Tunç Kurt Matematik. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2733,"text":"45:33","a11yText":"Süre 45 dakika 33 saniye","shortText":"45 dk."},"views":{"text":"23,3bin","a11yText":"23,3 bin izleme"},"date":"10 kas 2025","modifyTime":1762795662000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/CCvIC9lk9rc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=CCvIC9lk9rc","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":2733},"parentClipId":"6538981202598713059","href":"/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/6538981202598713059?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13935788228454550144":{"videoId":"13935788228454550144","title":"We listed the most difficult ayt \u0007[mat\u0007] \u0007[topics\u0007]","cleanTitle":"We listed the most difficult ayt mat topics","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/ehYVxTvqiHk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ehYVxTvqiHk?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":"d3d3LnlvdXR1YmUuY29tO1VDWDUxNF95bnc3QTM1Q3A4a1hNU1QtQQ==","name":"Kerem Aydın","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Kerem+Ayd%C4%B1n","origUrl":"http://www.youtube.com/@keremaydinyks","a11yText":"Kerem Aydın. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":42,"text":"00:42","a11yText":"Süre 42 saniye","shortText":""},"views":{"text":"34,1bin","a11yText":"34,1 bin izleme"},"date":"15 ara 2024","modifyTime":1734281892000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ehYVxTvqiHk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ehYVxTvqiHk","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":42},"parentClipId":"13935788228454550144","href":"/preview/13935788228454550144?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/13935788228454550144?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7012352019153851521":{"videoId":"7012352019153851521","title":"\u0007[Math\u0007]2Heart's Parallel, Perpendicular, and Intersecting Lines Lesson","cleanTitle":"Math2Heart's Parallel, Perpendicular, and Intersecting Lines Lesson","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=lWnOLYeqeC4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/lWnOLYeqeC4?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":"d3d3LnlvdXR1YmUuY29tO1VDN3hnVDVkMThfRXJDbFdSUHIwaldIZw==","name":"Elizabeth Hill","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Elizabeth+Hill","origUrl":"http://www.youtube.com/@liz4makers","a11yText":"Elizabeth Hill. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1863,"text":"31:03","a11yText":"Süre 31 dakika 3 saniye","shortText":"31 dk."},"date":"23 mar 2020","modifyTime":1584921600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/lWnOLYeqeC4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=lWnOLYeqeC4","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":1863},"parentClipId":"7012352019153851521","href":"/preview/7012352019153851521?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/7012352019153851521?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10405551666389587790":{"videoId":"10405551666389587790","title":"30-Day \u0007[Topic\u0007]-by-\u0007[Topic\u0007] \u0007[Math\u0007] Problem Solving Camp - Day 13: Identities and Factorization (...","cleanTitle":"30-Day Topic-by-Topic Math Problem Solving Camp - Day 13: Identities and Factorization (+PDF)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=QeSssEuuDY8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/QeSssEuuDY8?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":"d3d3LnlvdXR1YmUuY29tO1VDeFd0aUNaZmpIbU1Gdk0wVE1oQ2ZkZw==","name":"Görkem Hocayla Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?text=G%C3%B6rkem+Hocayla+Matematik","origUrl":"http://www.youtube.com/@GorkemHocaylaMatematik","a11yText":"Görkem Hocayla Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":880,"text":"14:40","a11yText":"Süre 14 dakika 40 saniye","shortText":"14 dk."},"date":"17 ara 2025","modifyTime":1765929600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/QeSssEuuDY8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=QeSssEuuDY8","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":880},"parentClipId":"10405551666389587790","href":"/preview/10405551666389587790?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/10405551666389587790?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12408381090660532403":{"videoId":"12408381090660532403","title":"\u0007[Math\u0007] \u0007[Topics\u0007] - MathHelp.com - 1000+ Online \u0007[Math\u0007] Lessons","cleanTitle":"Math Topics - MathHelp.com - 1000+ Online Math Lessons","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Fs_W1_Fom_s","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Fs_W1_Fom_s?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":"d3d3LnlvdXR1YmUuY29tO1VDX0x1UG5EOUQyekZZRjQ2dm04a1FuUQ==","name":"MathHelp.com","isVerified":false,"subscribersCount":0,"url":"/video/search?text=MathHelp.com","origUrl":"http://www.youtube.com/@yourteachermathhelp","a11yText":"MathHelp.com. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":109,"text":"1:49","a11yText":"Süre 1 dakika 49 saniye","shortText":"1 dk."},"views":{"text":"9,8bin","a11yText":"9,8 bin izleme"},"date":"30 eyl 2008","modifyTime":1222732800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Fs_W1_Fom_s?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Fs_W1_Fom_s","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":109},"parentClipId":"12408381090660532403","href":"/preview/12408381090660532403?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/12408381090660532403?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1389943109375860163":{"videoId":"1389943109375860163","title":"Limit 8 (Limit of Piecewise Function) FULL 125 Questions IN PDF Explanations","cleanTitle":"Limit 8 (Limit of Piecewise Function) FULL 125 Questions IN PDF Explanations","host":{"title":"YouTube","href":"http://www.youtube.com/live/-un4xlWByH8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/-un4xlWByH8?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":"d3d3LnlvdXR1YmUuY29tO1VDeEhTTHhKY3VaOFNwRjV6Z0plUThDZw==","name":"Bıyıklı Matematik","isVerified":true,"subscribersCount":0,"url":"/video/search?text=B%C4%B1y%C4%B1kl%C4%B1+Matematik","origUrl":"http://www.youtube.com/channel/UCxHSLxJcuZ8SpF5zgJeQ8Cg","a11yText":"Bıyıklı Matematik. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1366,"text":"22:46","a11yText":"Süre 22 dakika 46 saniye","shortText":"22 dk."},"views":{"text":"43bin","a11yText":"43 bin izleme"},"date":"18 oca 2021","modifyTime":1610928000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/-un4xlWByH8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=-un4xlWByH8","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":1366},"parentClipId":"1389943109375860163","href":"/preview/1389943109375860163?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/1389943109375860163?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13255148618240898279":{"videoId":"13255148618240898279","title":"Class : 10th | \u0007[MAT\u0007] | \u0007[Topic\u0007] : Calendar Test | Date : 25/03/2020","cleanTitle":"Class : 10th | MAT | Topic : Calendar Test | Date : 25/03/2020","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=n9rdsSn215Y","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/n9rdsSn215Y?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":"d3d3LnlvdXR1YmUuY29tO1VDWkhKYThuakU3TTBLYzNRZl96akI4QQ==","name":"PARTH INSTITUTE","isVerified":false,"subscribersCount":0,"url":"/video/search?text=PARTH+INSTITUTE","origUrl":"http://www.youtube.com/@parthinstitute6052","a11yText":"PARTH INSTITUTE. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1800,"text":"30:00","a11yText":"Süre 30 dakika","shortText":"30 dk."},"date":"25 mar 2020","modifyTime":1585094400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/n9rdsSn215Y?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=n9rdsSn215Y","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":1800},"parentClipId":"13255148618240898279","href":"/preview/13255148618240898279?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/13255148618240898279?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1504965499015783271":{"videoId":"1504965499015783271","title":"Derivative 8 Composite Function Derivative | AYT \u0007[Mathematics\u0007] in 80 Days | AYT \u0007[Mathematics\u0007] C...","cleanTitle":"Derivative 8 Composite Function Derivative | AYT Mathematics in 80 Days | AYT Mathematics Camp","host":{"title":"YouTube","href":"http://www.youtube.com/live/NnbjE_GQ1hI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/NnbjE_GQ1hI?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":"d3d3LnlvdXR1YmUuY29tO1VDeEhTTHhKY3VaOFNwRjV6Z0plUThDZw==","name":"Bıyıklı Matematik","isVerified":true,"subscribersCount":0,"url":"/video/search?text=B%C4%B1y%C4%B1kl%C4%B1+Matematik","origUrl":"http://www.youtube.com/@biyiklimatematik","a11yText":"Bıyıklı Matematik. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1764,"text":"29:24","a11yText":"Süre 29 dakika 24 saniye","shortText":"29 dk."},"views":{"text":"87,8bin","a11yText":"87,8 bin izleme"},"date":"10 oca 2024","modifyTime":1704879944000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/NnbjE_GQ1hI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=NnbjE_GQ1hI","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":1764},"parentClipId":"1504965499015783271","href":"/preview/1504965499015783271?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/1504965499015783271?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3566519597051716301":{"videoId":"3566519597051716301","title":"Calendar Part 2. \u0007[MAT\u0007] \u0007[Topic\u0007]. Logical Reasoning Explained in English. For NTSE, Bank, SSC, A...","cleanTitle":"Calendar Part 2. MAT Topic. Logical Reasoning Explained in English. For NTSE, Bank, SSC, All Exams","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Izxikc9afpM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Izxikc9afpM?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":"d3d3LnlvdXR1YmUuY29tO1VDZS1kRW8zQWtpRXZnNlJBcTMxTjR4Zw==","name":"Apurva Malani","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Apurva+Malani","origUrl":"http://www.youtube.com/@apurvamalani7442","a11yText":"Apurva Malani. "},"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."},"date":"30 ağu 2020","modifyTime":1598745600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Izxikc9afpM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Izxikc9afpM","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":675},"parentClipId":"3566519597051716301","href":"/preview/3566519597051716301?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/3566519597051716301?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9287033706963680728":{"videoId":"9287033706963680728","title":"TİLT Denemeleri 02 ( Limit Türev İntegral Trigonometri Denemeleri) (2025)","cleanTitle":"TİLT Denemeleri 02 ( Limit Türev İntegral Trigonometri Denemeleri) (2025)","host":{"title":"YouTube","href":"http://www.youtube.com/live/BLH4F3ogy7E","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/BLH4F3ogy7E?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":"d3d3LnlvdXR1YmUuY29tO1VDek1WaV9DUHhfWEI5dWhNbDR1V1I5Zw==","name":"Mert Hoca","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Mert+Hoca","origUrl":"http://www.youtube.com/@merthoca","a11yText":"Mert Hoca. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3164,"text":"52:44","a11yText":"Süre 52 dakika 44 saniye","shortText":"52 dk."},"views":{"text":"53,8bin","a11yText":"53,8 bin izleme"},"date":"11 mar 2025","modifyTime":1741676411000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/BLH4F3ogy7E?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=BLH4F3ogy7E","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":3164},"parentClipId":"9287033706963680728","href":"/preview/9287033706963680728?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/9287033706963680728?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11083612843147986377":{"videoId":"11083612843147986377","title":"What Primary 2 \u0007[Mathematics\u0007] \u0007[topics\u0007] will you learn on Practicle? #shorts","cleanTitle":"What Primary 2 Mathematics topics will you learn on Practicle? #shorts","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=FPFKtfDZxLk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/FPFKtfDZxLk?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":"d3d3LnlvdXR1YmUuY29tO1VDSFI3ZVhSQk5DSzloSlozMWtFUXROZw==","name":"Practicle Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Practicle+Math","origUrl":"http://www.youtube.com/@PracticleMath","a11yText":"Practicle Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":21,"text":"00:21","a11yText":"Süre 21 saniye","shortText":""},"views":{"text":"1,6bin","a11yText":"1,6 bin izleme"},"date":"24 tem 2021","modifyTime":1627084800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/FPFKtfDZxLk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=FPFKtfDZxLk","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":21},"parentClipId":"11083612843147986377","href":"/preview/11083612843147986377?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/11083612843147986377?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12713264085208090814":{"videoId":"12713264085208090814","title":"Paper Folding. \u0007[MAT\u0007] \u0007[Topic\u0007]. Nonverbal Reasoning in English. For NTSE, Bank, SSC, All Exams","cleanTitle":"Paper Folding. MAT Topic. Nonverbal Reasoning in English. For NTSE, Bank, SSC, All Exams","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=rCxORej8JQE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/rCxORej8JQE?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":"d3d3LnlvdXR1YmUuY29tO1VDZS1kRW8zQWtpRXZnNlJBcTMxTjR4Zw==","name":"Apurva Malani","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Apurva+Malani","origUrl":"http://www.youtube.com/@apurvamalani7442","a11yText":"Apurva Malani. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":585,"text":"9:45","a11yText":"Süre 9 dakika 45 saniye","shortText":"9 dk."},"date":"3 ağu 2020","modifyTime":1596412800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/rCxORej8JQE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=rCxORej8JQE","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":585},"parentClipId":"12713264085208090814","href":"/preview/12713264085208090814?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/12713264085208090814?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3392716637069008046":{"videoId":"3392716637069008046","title":"Shape Construction. \u0007[MAT\u0007] \u0007[Topic\u0007] Nonverbal Reasoning in English. For NTSE, Bank, SSC, All Exa...","cleanTitle":"Shape Construction. MAT Topic Nonverbal Reasoning in English. For NTSE, Bank, SSC, All Exams.","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=OVoW_Rr-L-I","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/OVoW_Rr-L-I?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":"d3d3LnlvdXR1YmUuY29tO1VDZS1kRW8zQWtpRXZnNlJBcTMxTjR4Zw==","name":"Apurva Malani","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Apurva+Malani","origUrl":"http://www.youtube.com/@apurvamalani7442","a11yText":"Apurva Malani. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":923,"text":"15:23","a11yText":"Süre 15 dakika 23 saniye","shortText":"15 dk."},"views":{"text":"4bin","a11yText":"4 bin izleme"},"date":"28 haz 2020","modifyTime":1593302400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/OVoW_Rr-L-I?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=OVoW_Rr-L-I","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":923},"parentClipId":"3392716637069008046","href":"/preview/3392716637069008046?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/3392716637069008046?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"787859093992507130":{"videoId":"787859093992507130","title":"What Primary 2 \u0007[Mathematics\u0007] \u0007[topics\u0007] will you learn? | Practicle \u0007[Math\u0007] Singapore #shorts #\u0007...","cleanTitle":"What Primary 2 Mathematics topics will you learn? | Practicle Math Singapore #shorts #maths","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/ScDSPNYTQbo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ScDSPNYTQbo?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":"d3d3LnlvdXR1YmUuY29tO1VDSFI3ZVhSQk5DSzloSlozMWtFUXROZw==","name":"Practicle Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Practicle+Math","origUrl":"http://www.youtube.com/@PracticleMath","a11yText":"Practicle Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":24,"text":"00:24","a11yText":"Süre 24 saniye","shortText":""},"date":"30 eki 2024","modifyTime":1730246400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ScDSPNYTQbo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ScDSPNYTQbo","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":24},"parentClipId":"787859093992507130","href":"/preview/787859093992507130?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/787859093992507130?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17356332168589651601":{"videoId":"17356332168589651601","title":"ECAT Maths Lecture Series, lec 1, Mathematical Induction & Extended Principal- Ch 8","cleanTitle":"ECAT Maths Lecture Series, lec 1, Mathematical Induction & Extended Principal- Ch 8","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Za4QzGuAKp8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Za4QzGuAKp8?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":"d3d3LnlvdXR1YmUuY29tO1VDcGxNdGl4Wko2cFJjck1vZ0JTWXZ1UQ==","name":"ilmkidunya","isVerified":true,"subscribersCount":0,"url":"/video/search?text=ilmkidunya","origUrl":"http://www.youtube.com/@ilmkidunyaofficial","a11yText":"ilmkidunya. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":833,"text":"13:53","a11yText":"Süre 13 dakika 53 saniye","shortText":"13 dk."},"views":{"text":"28,8bin","a11yText":"28,8 bin izleme"},"date":"14 haz 2018","modifyTime":1528934400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Za4QzGuAKp8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Za4QzGuAKp8","reqid":"1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL","duration":833},"parentClipId":"17356332168589651601","href":"/preview/17356332168589651601?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","rawHref":"/video/preview/17356332168589651601?parent-reqid=1769526646715067-8694276222336695528-balancer-l7leveler-kubr-yp-sas-214-BAL&text=ILL+MAT+-+Topic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x001cd987dbd","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"6942762223366955287214","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":"ILL MAT - Topic","queryUriEscaped":"ILL%20MAT%20-%20Topic","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"}}}