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Let f(x)=tanh(sinx)f ( x ) = \tanh ( \sin x )

Question 74

Multiple Choice

Let f(x) =tanh(sinx) f ( x ) = \tanh ( \sin x ) Then f(x) f ^ { \prime } ( x ) is


A) sech2(cosx) \operatorname { sech } ^ { 2 } ( \cos x )
B) cosxsech2(sinx) - \cos x \operatorname { sech } ^ { 2 } ( \sin x )
C) sech2(cosx) - \operatorname { sech } ^ { 2 } ( \cos x )
D) cosxsech2(sinx) \cos x \operatorname { sech } ^ { 2 } ( \sin x )
E) sinxsech2(cosx) \sin x \operatorname { sech } ^ { 2 } ( \cos x )

Correct Answer:

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