# Does there exist a function which is continuous everywhere but not differentiable at exactly two points? Justify your answer.

Toolbox:
• $f$ is continuous every where.But it is not differentiable at two points.
Consider the function $f(x)=\mid x\mid+\mid x-1\mid$
$f$ is continuous every where.But it is not differentiable at $x=0$ and $x=1$