For , which of the following is a correct expression for…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

For h(x)=(x2+1)cos⁡2xh(x)=(x^{2}+1)\cos^{2}x, which of the following is a correct expression for h′(x)h'(x)? (a) 2xcos⁡2x+2(x2+1)sin⁡xcos⁡x2x\cos^{2}x+2(x^{2}+1)\sin x\cos x (b) (x2+1)(−2sin⁡xcos⁡x)(x^{2}+1)(-2\sin x\cos x) (c) 2xcos⁡2x−2(x2+1)sin⁡xcos⁡x2x\cos^{2}x-2(x^{2}+1)\sin x\cos x (d) 2xcos⁡2x+2(x2+1)cos⁡x2x\cos^{2}x+2(x^{2}+1)\cos x

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