# Math Help - continuity and differentiability

1. ## continuity and differentiability

Does continuity of a function imply it is differentiable?
If so why is this?

2. ## ...

Welcome to the forum
-If a function is continuous at a point it is not necessarily diffrentiable
eg- |x| at x = 0

-if a function is differentiable at a point it will be continuous at that point