# How do you find the exact relative maximum and minimum of the polynomial function of #f(x)=x^3-3x+6#?

##### 1 Answer

Apr 20, 2016

Relative maximum:

#### Explanation:

**Find critical numbers for #f#** .

The solution are

**Test the critical numbers**

Use either the first or second derivative test to see that

(Second derivative test:

And

(f''(1) > 0

**Find the minimum and maximum values**

Rel max:

Rel min: