2)(50 puan) f(x) = sin (x) ve g(x) = cos (x) olmak zere (a) y =...
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2)(50 puan) f(x) = sin (x) ve g(x) = cos (x) olmak zere (a) y = f(x) ve y = g(x) fonksiyonlarnn x E [-2, 2] iin artan ve azalan olduu aralklar belirleyiniz. Yerel ekstremum noktalarnn apsislerini ve ordinatlarn bulunuz. (b) y = f(x) ve y = g(x) fonksiyonlarnn x E [-2, 2] iin konveks ve konkav olduu aralklar belirleyiniz. Bkm noktalarnn apsislerini ve ordinatlarn bulunuz. (c) y = f(x) ve y = g(x) fonksiyonlarnn grafiini iziniz. (d) Sins fonksiyonun grafii hangi ilem sonucunda kosins fonksiyonun grafii ile akr? (e) Yukarda izilen grafiklerden yararlanarak y = 5 sin (4x+)-2 ve y=cos (4x+)+ erilerinin grafiklerini iziniz (f) Sins fonksiyonunun kullanm alanlarna en az 5 rnek veriniz. 2)(50 puan) f(x) = sin (x) ve g(x) = cos (x) olmak zere (a) y = f(x) ve y = g(x) fonksiyonlarnn x E [-2, 2] iin artan ve azalan olduu aralklar belirleyiniz. Yerel ekstremum noktalarnn apsislerini ve ordinatlarn bulunuz. (b) y = f(x) ve y = g(x) fonksiyonlarnn x E [-2, 2] iin konveks ve konkav olduu aralklar belirleyiniz. Bkm noktalarnn apsislerini ve ordinatlarn bulunuz. (c) y = f(x) ve y = g(x) fonksiyonlarnn grafiini iziniz. (d) Sins fonksiyonun grafii hangi ilem sonucunda kosins fonksiyonun grafii ile akr? (e) Yukarda izilen grafiklerden yararlanarak y = 5 sin (4x+)-2 ve y=cos (4x+)+ erilerinin grafiklerini iziniz (f) Sins fonksiyonunun kullanm alanlarna en az 5 rnek veriniz.
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