Differentiability Implies Continuity

Explanations 3

• If a function has a derivative at a specific point, then it must also be continuous at that point. Likewise, this can be extended to all points by saying that if a function is d…

  By Jeffery Yu, Moor Xu

• Jeffrey Yu gives a nice proof that differentiability implies continuity. Here's some more intuition: Ok! Here's some intuition for why the first statement is true: Let's take a …

  By Ray Li

• (Video) Proof that Differentiability Implies Continuity by MathemAddicts Here's a video by MathemAddicts explaining the proof of differentiability implies continuity.

  By Alex Federspiel