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

Explanation

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

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

### Step 2: Differentiate the outer function
The derivative of \( e^u \) with respect to \( u \) is:
\[
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