Find the critical points of the function f(x) `=4x^(3)-6x^(2) -24x+9 " if f(i) x in [0,3] (ii) x in [-3,3] (iii) x in [-1,2]`

Explanation

To find the critical points of the function \( f(x) = 4x^3 - 6x^2 - 24x + 9 \), we will follow these steps:

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

\[ f'(x) = \frac{d}{dx}(4x^3 - 6x^2 - 24x + 9) \]
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