5. Calculus

Applications Of Differentiation — Quiz

Test your understanding of applications of differentiation with 5 practice questions.

Practice Questions

Question 1

What does the derivative of a function at a point represent geometrically?

Question 2

If $f'(x) > 0$ on an interval, what is true of $f(x)$ on that interval?

Question 3

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

Question 4

A particle has position $s(t)=t^2+3t$. What is its velocity at $t=4$?

Question 5

If $f'(x)$ changes from positive to negative at $x=a$, what does $f(x)$ have at $x=a$?