Find the maximum and minimum values of the following functions.
`f(x)=x^(3)-2x^(2)+x+6`

Explanation

To find the maximum and minimum values of the function \( f(x) = x^3 - 2x^2 + x + 6 \), we can follow these steps:

### Step 1: Find the first derivative
The first step is to differentiate the function with respect to \( x \).

\[ f'(x) = \frac{d}{dx}(x^3 - 2x^2 + x + 6) = 3x^2 - 4x + 1 \]
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