Find the maximum and minimum values of the following functions.
`f(x)=(x^(3))/(3)-(x^(2))/(2)-6x+8`

Explanation

To find the maximum and minimum values of the function \( f(x) = \frac{x^3}{3} - \frac{x^2}{2} - 6x + 8 \), we will follow these steps:

### Step 1: Find the first derivative of the function
To find the critical points where the maximum and minimum values occur, we first need to differentiate the function.

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