# How do you determine all values of c that satisfy the mean value theorem on the interval [-1,1] for #f(x) = 3x^5+5x^3+15x #?

##### 1 Answer

Oct 23, 2016

There are two values

#### Explanation:

On the interval [-1,1], the function

There is value

Let's determine

And

So

Let's calculate

Then

Rewrite as

let

So

We take only the positive root

Then