5. Calculus

Higher-order Derivatives — Quiz

Test your understanding of higher-order derivatives with 5 practice questions.

Practice Questions

Question 1

What does the second derivative of a function represent?

Question 2

If $f(x)=x^3$, what is $f''(x)$?

Question 3

What does it mean if $f''(x)>0$ on an interval?

Question 4

If $f'(a)=0$ and $f''(a)<0$, what can be concluded about $f$ at $x=a$?

Question 5

If $f(x)=\sin x$, what is $f^{(4)}(x)$?