Find all the points of local maxima and local minima of the function `f(x)=x^3-6x^2+12 x-8.`

Explanation

To find the points of local maxima and minima of the function \( f(x) = x^3 - 6x^2 + 12x - 8 \), we will follow these steps:

### Step 1: Find the first derivative
We start by differentiating the function to find the first derivative \( f'(x) \).

\[ f'(x) = \frac{d}{dx}(x^3 - 6x^2 + 12x - 8) \]
...