$\"\"$

The function is $\"\"$ .

Mean value Theorem :

If $\"\"$ is continuous on $\"\"$ and differentiable on open interval $\"\"$ , then there exists a number $\"\"$ in $\"\"$ such that $\"\"$ .

The function $\"\"$ is continuous and differentiable since it is a polynomial function.

Find the value of $\"\"$ using mean value theorem :

$\"\"$

Apply derivative on each side with respect to $\"\"$ .

$\"\"$

So from the mean value theorem $\"\"$ .

$\"\"$

Therefore from the mean value theorem the value of $\"\"$ is mid point of the interval.

$\"\"$

The value of $\"\"$ is mid point of the interval.