Find the greatest and least values of f(x) `=x^(3) -12x " "X in [-1,3]`.

Explanation

To find the greatest and least values of the function \( f(x) = x^3 - 12x \) on the interval \( x \in [-1, 3] \), we will follow these steps:

### Step 1: Find the derivative of the function
To find the critical points, we first need to calculate the derivative of the function \( f(x) \).

\[ f'(x) = \frac{d}{dx}(x^3 - 12x) = 3x^2 - 12 \]
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