Calculus I - Proof that Differentiability Implies Continuity

Calculus I - Proof that Differentiability Implies Continuity A proof that if a function is differentiable at a point, then it must also be continuous at that point.

In this video, I prove that differentiability of a function at a point implies continuity of the function at that same point.

Differentiability implies continuity.

Learn why differentiability implies continuity.

How do you show that a function is not differentiable?