Calculate if .

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

Problem

Calculate h′(x)h'(x) if h(x)=sin⁡x exh(x)=\sin x\,e^{x}. (a) excos⁡xe^{x}\cos x (b) cos⁡x+sin⁡x\cos x+\sin x (c) ex(sin⁡x+cos⁡x)e^{x}(\sin x+\cos x) (d) ex(sin⁡x−cos⁡x)e^{x}(\sin x-\cos x)

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