# How do you find the exact relative maximum and minimum of the polynomial function of #f (x) = x^3 - 6x^2 - 15x + 11#?

##### 1 Answer

Aug 10, 2017

See below.

#### Explanation:

The critical numbers for

#f''(-1) < 0# so#f(-1) = 19# is a relative maximum.

#f''(5) > 0# so#f(5) = -89# is a relative minimum.