# How do you determine all values of c that satisfy the mean value theorem on the interval [1,9] for #f(x)=x^-4#?

##### 1 Answer

Jan 17, 2017

#### Explanation:

Based on the mean value theorem, as

As f(x) is strictly decreasing in the interval [1,9], there can be only one point in the interval satisfying the theorem.

Evaluate the integral:

So the value