Rolles Theorem :

Let  be a function that satisfies the following three hypotheses.

1.  is continuous on .

2.  is differentiable on .

3. .

Then there is a number  in  such that .

The function is , .

Differentiate on each side with respect to .

Denominator should not be equal to zero.

So the function  not differentiable at .

Hence function  does not satisfy the Rolles theorem.

The function  does not satisfy the Rolles theorem at .