Differentiate the following with respect to x
`sin^(-1)sqrt(x)`

Explanation

To differentiate the function \( \sin^{-1}(\sqrt{x}) \) with respect to \( x \), we will use the chain rule. Here’s a step-by-step solution:

### Step 1: Identify the function
Let \( u = \sqrt{x} \). Then, we can rewrite the function as \( \sin^{-1}(u) \).

### Step 2: Apply the chain rule
Using the chain rule, we have:
\[
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