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MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties
Problem Determine d d x ( e 2 x sin x ) \dfrac{d}{dx}\left( \dfrac{e^{2x}}{\sin x} \right) d x d ( sin x e 2 x ) .
(a) e 2 x ( 2 sin x + cos x ) sin 2 x \dfrac{e^{2x}(2\sin x+\cos x)}{\sin^{2}x} sin 2 x e 2 x ( 2 sin x + cos x )
(b) e 2 x ( sin x − cos x ) sin 2 x \dfrac{e^{2x}(\sin x-\cos x)}{\sin^{2}x} sin 2 x e 2 x ( sin x − cos x )
(c) e 2 x ( 2 sin x − cos x ) sin 2 x \dfrac{e^{2x}(2\sin x-\cos x)}{\sin^{2}x} sin 2 x e 2 x ( 2 sin x − cos x )
(d) e 2 x ( 2 sin x − cos x ) sin x \dfrac{e^{2x}(2\sin x-\cos x)}{\sin x} sin x e 2 x ( 2 sin x − cos x )
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