Final answer to the problem
$-\sin\left(\sin\left(x\right)\right)\cos\left(x\right)$
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Step-by-step Solution
Learn how to solve basic differentiation rules problems step by step online. Find the derivative of cos(sin(x)). The derivative of the cosine of a function is equal to minus the sine of the function times the derivative of the function, in other words, if f(x) = \cos(x), then f'(x) = -\sin(x)\cdot D_x(x). The derivative of the sine of a function is equal to the cosine of that function times the derivative of that function, in other words, if {f(x) = \sin(x)}, then {f'(x) = \cos(x)\cdot D_x(x)}.
Final answer to the problem
$-\sin\left(\sin\left(x\right)\right)\cos\left(x\right)$
