5. Calculus

Stationary Points — Quiz

Test your understanding of stationary points with 5 practice questions.

Practice Questions

Question 1

What is the definition of a stationary point on the graph of a function?

Question 2

For the function $f(x)=x^2$, at which value of $x$ is there a stationary point?

Question 3

A stationary point is classified as a local maximum, local minimum, or point of inflection. What does a local minimum mean?

Question 4

Which derivative test can help decide whether a stationary point is a maximum or minimum?

Question 5

If $f'(x)=0$ at $x=3$ and $f''(3)>0$, what type of stationary point is at $x=3$?