Step 1:

The function is , .

Mean value theorem :

Let f be a function that satisfies the following three hypotheses :

1. f is continuous on

2. f is differentiable on

Then there is a number c in such that

.

Step 2:

The function is .

The function is  continuous on the interval .

Differentiate with respect to .

The function is differentiable on the interval .

Then

Step 3:

From the mean value theorem :

.

Substitute in .

Rationalize the denominator with .

Solution :

.