# How do you determine all values of c that satisfy the mean value theorem on the interval [0, 2] for #y = x^3 + x - 1#?

##### 1 Answer

Dec 19, 2017

See below.

#### Explanation:

Let

The *conclusion* of the mean value theorem says:

there is a

To find that

So if you want to actually find the

In this case solve

Discard any solutions outside

You should get