Differentiate the following w.r.t. x:
`sqrt(e^(sqrt(x))), x >0`

Explanation

To differentiate the function \( f(x) = \sqrt{e^{\sqrt{x}}} \) with respect to \( x \), we will follow these steps:

### Step 1: Rewrite the function
We can rewrite the function in a more convenient form for differentiation:
\[ f(x) = (e^{\sqrt{x}})^{1/2} = e^{\frac{1}{2} \sqrt{x}} \]

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