Differentiate the function `f(x)="sec"(tan(sqrt(x))` with respect to `xdot`

Explanation

To differentiate the function \( f(x) = \sec(\tan(\sqrt{x})) \) with respect to \( x \), we will use the chain rule. Let's break it down step by step.

### Step 1: Identify the outer function and inner functions
The function \( f(x) \) can be seen as a composition of functions:
- Outer function: \( g(u) = \sec(u) \)
- Middle function: \( h(v) = \tan(v) \)
- Inner function: \( k(x) = \sqrt{x} \)

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