\"\"

\

The function is \"\"\"\".

\

The Mean value theorem :

\

Let \"\" be a function that satisfies the following three hypotheses.

\

1. \"\" is continuous on \"\".

\

2. \"\" is differentiable on \"\".

\

Then there is a number \"\" in \"\" such that

\

\"\".

\

\

The function is \"\"\"\".

\

It is a polynomial function hence, it is continuous and differentiable.

\

Differentiate \"\" on each side with respect to \"\".

\

\"\"

\

\"\".

\

From the mean value theorem,

\

\"\"

\

Therefore \"\".

\

\"\"

\

\"\".

\

\

\"\".