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 .

The function is differentiable on .

Here and .

But the function is not continuous on the interval .

Therefore the Rolles theorem can not be applied.

The function does not satisfy the Rolles theorem.