Mathematics

Mathematics

Problem

The answers are in Chapter 24. 3. Find dydx\frac{d y}{d x} if y=cos⁡2(x2)y=\cos ^{2}\left(x^{2}\right). (A) dydx=4xcos⁡(x2)\frac{d y}{d x}=4 x \cos \left(x^{2}\right) (B) dydx=sin⁡2(x2)\frac{d y}{d x}=\sin ^{2}\left(x^{2}\right) (C) dydx=−4xcos⁡(x2)sin⁡(x2)\frac{d y}{d x}=-4 x \cos \left(x^{2}\right) \sin \left(x^{2}\right) (D) dydx=−4xsin⁡2(x2)\frac{d y}{d x}=-4 x \sin ^{2}\left(x^{2}\right) (A) dydx=4xcos⁡(x2)\frac{d y}{d x}=4 x \cos \left(x^{2}\right) (B) dydx=sin⁡2(x2)\frac{d y}{d x}=\sin ^{2}\left(x^{2}\right) (C) dydx=−4xcos⁡(x2)sin⁡(x2)\frac{d y}{d x}=-4 x \cos \left(x^{2}\right) \sin \left(x^{2}\right) (D) dydx=−4xsin⁡2(x2)\frac{d y}{d x}=-4 x \sin ^{2}\left(x^{2}\right)

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