"If a function can be differentiated, it is a continuous function"(adsbygoogle = window.adsbygoogle || []).push({});

By contraposition: "If a function is not continuous, it cannot be differentiated"

Here comes the question: Is the following statement true?

"If a function is not right(left) continuous in a certain point a, then the function has no right(left) derivative in that point"

Thanks in advance

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# B Continuous and differentiable functions

Have something to add?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**