AP®︎ Calculus AB: Topic 4.4 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 4.4 of AP Calculus AB – Introduction to Related Rates.

Questions List

Topic 4.4

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Question 1 Easy

If ss is a differentiable function of tt, then ddt(s3)=\frac{d}{dt}\left(s^3\right) =

A3s23s^2
B3s2dsdt3s^2\frac{ds}{dt}
Cs3dsdts^3\frac{ds}{dt}
D3s2+dsdt3s^2 + \frac{ds}{dt}

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus AB Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 4.4: Introduction to Related Rates

Learning Objective: CHA-3.D

Calculate related rates in applied contexts.

Essential Knowledge: CHA-3.D.1

The chain rule is the basis for differentiating variables in a related rates problem with respect to the same independent variable.

Essential Knowledge: CHA-3.D.2

Other differentiation rules, such as the product rule and the quotient rule, may also be necessary to differentiate all variables with respect to the same independent variable.

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