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 a function that is differentiable at a point?

Question 2

If a function has a jump discontinuity at $x = 2$, what can be concluded about differentiability at $x = 2$?

Question 3

Which situation guarantees that $f'(a)$ does not exist?

Question 4

For $f(x) = |x|$, what is true about differentiability at $x = 0$?

Question 5

Which of the following is a sufficient condition for $f$ to be differentiable at $x = a$?