Find dy/dx if y = cos(sin x).
A) -cos x sin(cos x)
B) -sin(sin x)
C) cos x sin(sin x)
D) -cos x sin(sin x)
E) sin(cos x)

Name: Find dy/dx if y = cos(sin x). A) -cos x sin(cos x) B) -sin(sin x) C) cos x sin(sin x) D) -cos x sin(sin x) E) sin(cos x)
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Question

Quizplus · Accepted Answer

Using the chain rule, 
$\frac{dy}{dx} = -\sin(\sin x) \cdot \cos x$

Therefore, the correct answer is D.

Find Dy/dx If Y = Cos(sin X)