# Given the function #f(x)=5-4/x#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [1,4] and find the c in the conclusion?

##### 2 Answers

The answer below is for the mean value theorem for derivatives.

#### Explanation:

You determine whether it satisfies the hypotheses by determining whether

You find the

**Answers**

So

So

**Therefore this function satisfies the hypotheses of the Mean Value Theorem on this interval.**

To find

You should get

The answer below is for the Mean Value Theorem for integrals for

#### Explanation:

Therefore, there is a

Now,

To find

So we want