Differentiate `e^(sinsqrt(x))` with respect to `x` :

Explanation

To differentiate the function \( y = e^{\sin(\sqrt{x})} \) with respect to \( x \), we will use the chain rule. Here are the steps to find the derivative:

### Step 1: Identify the outer and inner functions
The outer function is \( e^u \) where \( u = \sin(\sqrt{x}) \).

### Step 2: Differentiate the outer function
Using the chain rule, the derivative of \( e^u \) with respect to \( u \) is \( e^u \). Therefore, we have:
\[
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