AP

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

Problem

Determine ddx(e2xsin⁡x)\dfrac{d}{dx}\left( \dfrac{e^{2x}}{\sin x} \right). (a) e2x(2sin⁡x+cos⁡x)sin⁡2x\dfrac{e^{2x}(2\sin x+\cos x)}{\sin^{2}x} (b) e2x(sin⁡x−cos⁡x)sin⁡2x\dfrac{e^{2x}(\sin x-\cos x)}{\sin^{2}x} (c) e2x(2sin⁡x−cos⁡x)sin⁡2x\dfrac{e^{2x}(2\sin x-\cos x)}{\sin^{2}x} (d) e2x(2sin⁡x−cos⁡x)sin⁡x\dfrac{e^{2x}(2\sin x-\cos x)}{\sin x}

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