Find the points of maxima or minima of f(x) `=x^(2) (x-2)^(2)`.

Explanation

To find the points of maxima or minima of the function \( f(x) = x^2 (x - 2)^2 \), we will follow these steps:

### Step 1: Find the first derivative \( f'(x) \)

Using the product rule, we differentiate \( f(x) \):

\[
f'(x) = \frac{d}{dx}(x^2) \cdot (x - 2)^2 + x^2 \cdot \frac{d}{dx}((x - 2)^2)
...