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`cos (sinx)`

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To differentiate the function \( y = \cos(\sin x) \) with respect to \( x \), we will apply the chain rule. Here’s a step-by-step solution: ### Step 1: Identify the outer and inner functions The function \( y = \cos(\sin x) \) can be seen as a composition of two functions: - Outer function: \( u = \cos(v) \) where \( v = \sin x \) - Inner function: \( v = \sin x \) ### Step 2: Differentiate the outer function ...
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