2. Differentiation(COLON) Definition and Fundamental Properties

Connecting Differentiability And Continuity: Determining When Derivatives Do And Do Not Exist — Quiz

Test your understanding of connecting differentiability and continuity: determining when derivatives do and do not exist with 5 practice questions.

Practice Questions

Question 1

Which statement best describes the relationship between differentiability and continuity at a point?

Question 2

Why is $f(x)=|x|$ not differentiable at $x=0$?

Question 3

Which function is differentiable at $x=2$?

Question 4

At which point is $f(x)=x^{1/3}$ not differentiable?

Question 5

If a function is continuous at $x=a$ but not differentiable at $x=a$, what is the most likely reason?