` = e^(x ^(3))`

Explanation

To solve the problem of finding the derivative of the function \( y = e^{x^3} \), we will use the chain rule of differentiation. Here are the steps:

### Step-by-Step Solution:

1. **Identify the function**: We have \( y = e^{x^3} \).

2. **Differentiate using the chain rule**: The chain rule states that if you have a composite function \( y = f(g(x)) \), then the derivative \( \frac{dy}{dx} = \frac{dy}{du} \cdot \frac{du}{dx} \), where \( u = g(x) \).

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