### Home > CALC > Chapter 5 > Lesson 5.4.1 > Problem 5-146

5-146.

**Multiple Choice**: Let be the function given by

*are true?*

is continuous at.

is differentiable at.has an absolute minimum at.

I only

II only

III only

I and III

II and III

Examples of functions that are not differentiable at . Notice that some of them are still continuous at

*.*