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

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

Question 2

What does the notation $f'(x)$ usually represent?

Question 3

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

Question 4

What is the derivative of the constant function $f(x)=6$?

Question 5

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