Differentiate the following w.r.t. x:
`e^(x^3)`

Explanation

To differentiate the function \( e^{x^3} \) with respect to \( x \), we will use the chain rule. The chain rule states that if you have a composite function \( f(g(x)) \), then the derivative is given by \( f'(g(x)) \cdot g'(x) \).

### Step-by-Step Solution:

1. **Identify the outer and inner functions**:
- Let \( u = x^3 \) (inner function).
- Then, the function can be rewritten as \( e^u \) (outer function).

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