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

##### 1 Answer

The relative minimum is

#### Explanation:

The function is

We calculate the first derivative

The critical points are when

We solve this like a quadratic equation, we start by calculating the discriminant

As

The solutions are

We calculate the second derivative

Therefore,

graph{2x^3+x^2-11x [-30.5, 27.21, -10.8, 18.08]}