4. Calculus Foundations

Applications Derivatives — Quiz

Test your understanding of applications derivatives with 5 practice questions.

Practice Questions

Question 1

What is the derivative of the function $f(x) = 5x^2 + 3x - 2$?

Question 2

If the function $f(x) = x^3 - 3x$ has critical points, what is the first step to find them?

Question 3

A car's position is given by $s(t) = 4t^2 + 2t$. What is the velocity at $t = 1$ second?

Question 4

What does it mean if the second derivative $f''(x) > 0$?

Question 5

For the function $f(x) = -x^2 + 4x$, what is the maximum value?