$\"\"$

\

The function $\"\"$ over the interval $\"\"$ .

\

Graph the function : $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Rolle $\"\"$ s theorem :

\

The function is continuous on $\"\"$ , differentiable on $\"\"$ and $\"\"$ .

\

$\"\"$ is continuous and differentiable on the interval $\"\"$ .

\

Find the value of the function at the endpoints of the interval.

\

Substitute $\"\"$ in the function.

\

$\"\"$

\

Substitute $\"\"$ in the function.

\

$\"\"$

\

$\"\"$

\

Rolle $\"\"$ s theorem is satisfied.

\

Therefore,there exist at least one number $\"\"$ in the interval $\"\"$ such that $\"\"$ .

\

$\"\"$

\

The function $\"\"$ .

\

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

\

$\"\"$

\

Equate $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Rolle $\"\"$ s theorem is satisfied.

\

$\"\"$ .