Find all the points of local maxima and minima of the function f given by `f(x)= 4x^(3)-12x^(2)+12x+10`

Explanation

To find the local maxima and minima of the function \( f(x) = 4x^3 - 12x^2 + 12x + 10 \), we will follow these steps:

### Step 1: Find the first derivative of the function
The first derivative \( f'(x) \) is found using the power rule.

\[ f'(x) = \frac{d}{dx}(4x^3) - \frac{d}{dx}(12x^2) + \frac{d}{dx}(12x) + \frac{d}{dx}(10) \]
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