9. Differentiation

Definition Of Derivative — Quiz

Test your understanding of definition of derivative with 5 practice questions.

Practice Questions

Question 1

What is the definition of the derivative of a function $f$ at a point $a$?

Question 2

If $f$ is differentiable at $a$, what does $f'(a)$ represent geometrically?

Question 3

Using the definition of the derivative, what is $f'(3)$ for $f(x)=x^2$?

Question 4

Which function is not differentiable at $x=0$?

Question 5

What must be true if a function is differentiable at a point $a$?