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Differentiate the functions with respect...

Differentiate the functions with respect to x
`sec(tan(sqrt(x)))`

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AI Generated Solution

To differentiate the function \( y = \sec(\tan(\sqrt{x})) \) with respect to \( x \), we will apply the chain rule multiple times. Here’s the step-by-step solution: ### Step 1: Identify the outer function Let: \[ y = \sec(u) \quad \text{where} \quad u = \tan(v) \quad \text{and} \quad v = \sqrt{x} \] ...
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