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Eğitmen, minimum ve maksimum bulma konusunu optimizasyon sorularında nasıl kullanabileceğimizi göstermektedir.","Videoda, çarpımı eksi onaltı olan iki sayının karelerinin toplamı minimum olan değerlerini bulma problemi adım adım çözülmektedir. Eğitmen önce problemi matematiksel olarak ifade eder, ardından fonksiyonu tek değişkenli hale getirir, türev alır ve minimum değerini bulur. Son olarak, bulunan değerlerin gerçekten minimum olduğunu ikinci türev yardımıyla ispatlar. Video, optimizasyon problemlerinin nasıl çözüleceğini gösteren bir örnek sunmaktadır."]},"endTime":461,"title":"Optimizasyon Problemleri Çözümü Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Optimizasyon Problemleri ve Örnek Soru","list":{"type":"unordered","items":["Optimizasyon sorularında bazı kısıtlamalara uyan hangi sayıların maksimum veya minimum değer verdiği sorulur.","Çarpımları eksi onaltı olan ve karelerinin toplamı minimum olan iki sayı bulunması isteniyor.","Bu soruda x ve y sayıları için x×y = -16 ve karelerinin toplamı S = x² + y² şeklinde modelleniyor."]},"beginTime":0,"endTime":103,"href":"/video/preview/15337069700319503372?parent-reqid=1769131732278390-17360192269612927843-balancer-l7leveler-kubr-yp-klg-160-BAL&text=Calcus&t=0&ask_summarization=1"},{"index":1,"title":"Fonksiyonun Türevi ve Çözüm","list":{"type":"unordered","items":["y = -16/x şeklinde ifade edilerek S = x² + (-16/x)² şeklinde tek değişkenli fonksiyona indirgeniyor.","Fonksiyonun 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