Differentiate `3^(x^2+2x)` with respect to `x` :

Explanation

To differentiate the function \( y = 3^{(x^2 + 2x)} \) 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:
- \( f(u) = 3^u \) where \( u = x^2 + 2x \)

### Step 2: Differentiate the outer function
The derivative of \( f(u) = 3^u \) with respect to \( u \) is:
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