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Let f(x)=sinxexf ( x ) = \frac { \sin x } { e ^ { x } }

Question 49

Multiple Choice

Let f(x) =sinxexf ( x ) = \frac { \sin x } { e ^ { x } } . Then f(x) f ^ { \prime } ( x ) is


A) ex(cosx+sinx) e ^ { x } ( \cos x + \sin x )
B) ex(cosxsinx) e ^ { x } ( \cos x - \sin x )
C) cosx+sinxex\frac { \cos x + \sin x } { e ^ { x } }
D) cosxsinxex\frac { \cos x - \sin x } { e ^ { x } }
E) cosxsinxe2x\frac { \cos x - \sin x } { e ^ { 2 x } }

Correct Answer:

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