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Konuşmacı, arz yasası konusunu ele alarak önceki videoda bahsedilen arz eğrisi üzerinde durmaktadır.","Video, arz eğrisini etkileyen faktörleri detaylı şekilde incelemektedir. İlk olarak girdi maliyetleri (üretim maliyetleri) ele alınarak, bu maliyetlerin artması veya azalması durumunda arz eğrisinin nasıl değişeceği açıklanmaktadır. Ardından ikame mallarının fiyatları, üreticilerin sayısı, teknolojik gelişmeler ve gelecekteki fiyat beklentileri gibi faktörler örneklerle anlatılmaktadır. Her bir faktör için üzüm üretimi ve petrol üretimi gibi örnekler kullanılarak konu somutlaştırılmaktadır."]},"endTime":454,"title":"Arz Eğrisi ve Etkileyen Faktörler","beginTime":0}],"fullResult":[{"index":0,"title":"Arz Yasası ve Giriş","list":{"type":"unordered","items":["Önceki videoda arz yasası ele alınmış, fiyat yükseldikçe daha fazla üretici üretim yapmak isteyeceği veya mevcut üreticilerin üretim miktarlarını artırmak isteyeceği belirtilmiştir.","Bu videoda sabit kabul edilen etkenler üzerinde durulacak, özellikle girdi maliyetleri (üretim maliyetleri) incelenecektir."]},"beginTime":0,"endTime":52,"href":"/video/preview/6991348727165729372?parent-reqid=1773370204450312-3958859981729450551-balancer-l7leveler-kubr-yp-sas-204-BAL&text=TechVeda+Academy&t=0&ask_summarization=1"},{"index":1,"title":"Girdi Maliyetlerinin Arz Üzerindeki Etkisi","list":{"type":"unordered","items":["Girdi maliyetleri (işgücü, benzin, asma gibi) artarsa, üreticiler daha az para kazanacaklarını düşünerek 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Karakterler arasında bir soru-cevap döngüsü bulunmaktadır.","Video, Kuzey Amerika'da yaşayan bir kişinin Avustralya'ya ziyaret etmek istemesi ve Avustralya'da kış mevsiminin olması durumunda yaşanan şaşırtıcı durumu ele alıyor. Mevsimlerin oluşumunun sebebi olarak dünya'nın güneş etrafındaki yörüngesi değil, dünya'nın 23,5 derecelik eksen eğikliği açıklanıyor. 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Eğitmen, öğrencilere adım adım bir fonksiyonun grafiğini çizme sürecini göstermektedir.","Videoda, f(x) = 3x⁴ - 4x³ + 2 fonksiyonunun grafiğini çizmek için gerekli analizler yapılmaktadır. Önce kritik noktalar (x=0 ve x=1) bulunmakta, ardından ikinci türev kullanılarak çukurluk yönü incelenmekte ve potansiyel büküm noktaları (x=0 ve x=2/3) belirlenmektedir. Bu bilgiler kullanılarak fonksiyonun grafiği çizilmektedir.","Video, türev kavramını kullanarak fonksiyonların analizi ve grafik çizimi konusunu ele almaktadır. Eğitmen, analiz becerilerini kullanarak karmaşık bir fonksiyonun grafiğini çizme sürecini detaylı bir şekilde göstermektedir."]},"endTime":979,"title":"Fonksiyonun Grafiğini Çizme: Türev ve Analiz Yöntemleri","beginTime":0}],"fullResult":[{"index":0,"title":"Fonksiyonun Grafiğini Çizme","list":{"type":"unordered","items":["Türev, çukurluk yönü, maksimum, minimum ve büküm noktaları bilgisi kullanılarak hesap makinesi olmadan bir fonksiyonun grafiği çizilebilir.","Fonksiyon f(x) = 3x⁴ - 4x³ + 2 olarak tanımlanmıştır.","Fonksiyonun grafiğini çizmek için öncelikle kritik noktalar belirlenmelidir."]},"beginTime":0,"endTime":32,"href":"/video/preview/5290259787722281402?parent-reqid=1773370204450312-3958859981729450551-balancer-l7leveler-kubr-yp-sas-204-BAL&text=TechVeda+Academy&t=0&ask_summarization=1"},{"index":1,"title":"Kritik Noktaların Bulunması","list":{"type":"unordered","items":["Kritik noktalar, türevin sıfır veya tanımsız olduğu noktalardır.","Verilen fonksiyon her yerde türevlidir, dolayısıyla kritik noktalar f'(x) = 0 denkleminin çözümleridir.","f'(x) = 12x³ - 12x² türevi bulunmuştur."]},"beginTime":32,"endTime":111,"href":"/video/preview/5290259787722281402?parent-reqid=1773370204450312-3958859981729450551-balancer-l7leveler-kubr-yp-sas-204-BAL&text=TechVeda+Academy&t=32&ask_summarization=1"},{"index":2,"title":"Kritik Noktaların Çözümü","list":{"type":"unordered","items":["f'(x) = 12x³ - 12x² = 0 denklemi çözerken 12x² ifadesi paranteze alınır.","Denklem 12x²(x - 1) = 0 şeklinde yazılır ve çözülür.","Kritik noktalar x = 0 ve x = 1 olarak bulunmuştur."]},"beginTime":111,"endTime":204,"href":"/video/preview/5290259787722281402?parent-reqid=1773370204450312-3958859981729450551-balancer-l7leveler-kubr-yp-sas-204-BAL&text=TechVeda+Academy&t=111&ask_summarization=1"},{"index":3,"title":"İkinci Türev ve Çukurluk Analizi","list":{"type":"unordered","items":["Fonksiyonun ikinci türevi f''(x) = 36x² - 24x olarak bulunmuştur.","x = 0 noktasında ikinci türev 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