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Differentiate the functions with respect...

Differentiate the functions with respect to x
`cos(sqrt(x))`

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To differentiate the function \( y = \cos(\sqrt{x}) \) with respect to \( x \), we will use the chain rule. Here are the steps to solve the problem: ### Step 1: Identify the outer and inner functions Let \( u = \sqrt{x} \) (the inner function) and \( y = \cos(u) \) (the outer function). ### Step 2: Differentiate the outer function The derivative of \( y \) with respect to \( u \) is: \[ ...
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