The function is .
Mean value theorem :
\Let be a function that satisfies the following hypotheses :
1. is continuous on
.
2. is differentiable on
.
Then there is a number in
such that
.
The function is .
The function is continuous on the interval .
Differentiate with respect to
.
.
The function is differentiable on the interval .
The mean value theorem satisfies the hypothesis.
\Then
From the mean value theorem :
\.
Substitute in
.
Substitute in
.
and
.
and
.