Find the local maximum, local minimum, absolute maximum and absolute minimum values of
`f(x)=x(x-1)^2, x in [0,2]`

Explanation

To find the local maximum, local minimum, absolute maximum, and absolute minimum values of the function \( f(x) = x(x-1)^2 \) over the interval \( [0, 2] \), we will follow these steps:

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

\[ f(x) = x(x-1)^2 \]
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