Proofs in Differential Calculus - Differentiability Implies Continuity

Proofs in Differential Calculus - Differentiability Implies Continuity In this video, I prove that differentiability of a function at a point implies continuity of the function at that same point.

A proof that if a function is differentiable at a point, then it must also be continuous at that point.

Learn why differentiability implies continuity.

Differentiability implies continuity.

First Video of Differentiability and Continuity.

How do you show that a function is not differentiable?

Proof of Differentiability implying continuity.

Example using differentiability/continuity property.