Differentiate `e^(sinx^2)` with respect to `x` :

Explanation

To differentiate the function \( e^{\sin(x^2)} \) with respect to \( x \), we will use the chain rule. Here’s a step-by-step solution:

### Step 1: Identify the outer and inner functions
Let:
- Outer function: \( u = e^v \) where \( v = \sin(x^2) \)
- Inner function: \( v = \sin(x^2) \)

### Step 2: Differentiate the outer function
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