4. Differential Calculus II

Stationary Points And Optimisation — Quiz

Test your understanding of stationary points and optimisation with 5 practice questions.

Practice Questions

Question 1

Which condition must hold at a stationary point of a differentiable function $f(x)$?

Question 2

For $f(x)=x^2-4x+3$, what is the $x$-coordinate of the stationary point?

Question 3

What is the nature of the stationary point of $f(x)=x^2$?

Question 4

If $f'(a)=0$ and $f''(a)>0$, what does the stationary point at $x=a$ represent?

Question 5

For $f(x)=3x^2+6x+1$, what is the stationary point?