2. Differentiation(COLON) Definition and Fundamental Properties

Defining The Derivative Of A Function And Using Derivative Notation — Quiz

Test your understanding of defining the derivative of a function and using derivative notation with 5 practice questions.

Practice Questions

Question 1

What does the derivative $f'(a)$ represent at the point $x=a$?

Question 2

Which limit definition gives the derivative of $f$ at $x=a$?

Question 3

If $f'(3)=5$, what does this tell you about the function $f$ at $x=3$?

Question 4

If $y=f(x)$, which derivative notation means the derivative with respect to $x$?

Question 5

Which statement best connects differentiability and continuity at a point?