1. Calculus I

Applications Of Derivatives — Quiz

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

Practice Questions

Question 1

What does a positive first derivative $f'(x) > 0$ indicate about the function $f(x)$?

Question 2

To find the critical points of a function $f(x)$, what condition must be met for its first derivative $f'(x)$?

Question 3

If the acceleration of an object is given by $a(t) = 6t - 2$, and its initial velocity is $v(0) = 5$, what is the velocity function $v(t)$?

Question 4

What is the primary purpose of using derivatives in optimization problems?

Question 5

Which of the following best describes linearization using derivatives?