# Using the principle of the mean-value theorem on the indicated interval, how do you find all numbers c that satisfy the conclusion of the theorem #f(x) = 1 / (x-1)#; [2, 5]?

##### 1 Answer

Nov 15, 2016

Solve

#### Explanation:

There is no "principle of the mean value theorem" to use here.

Use the rules for finding derivatives to get

Now use algebra to solve

Thus

So

The only number that satisfies the conclusion of MVT is