$\"\"$

The function $\"\"$ and $\"\"$ .

Rolle $\"\"$ s 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 $\"\"$ .

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

$\"\"$

The denominator should not be equal to zero.

The function $\"\"$ is not differentiable at $\"\"$ .

Therefore the function doe not satisfy the rolle $\"\"$ s theorem.

$\"\"$

The function $\"\"$ does not satisfy the rolle $\"\"$ s theorem at $\"\"$ .