AP®︎ Calculus AB: Topic 4.1 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 4.1 of AP Calculus AB – Interpreting the Meaning of the Derivative in Context.

Questions List

Topic 4.1

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Question 1 Easy

H(t)H(t) is the height, in centimeters, of a tomato plant tt days after it is planted, and H′(10)=2.3H'(10)=2.3. Which of the following is the best interpretation of H′(10)=2.3H'(10)=2.3?

AAt t=2.3t=2.3 days, the height of the tomato plant is increasing at a rate of 10 centimeters per day.
BAt t=10t=10 days, the tomato plant is 2.3 centimeters tall.
CAt t=10t=10 days, the height of the tomato plant is increasing at a rate of 2.3 days per centimeter.
DAt t=10t=10 days, the height of the tomato plant is increasing at a rate of 2.3 centimeters per day.

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 4.1: Interpreting the Meaning of the Derivative in Context

Learning Objective: CHA-3.A

Interpret the meaning of a derivative in context.

Essential Knowledge: CHA-3.A.1

The derivative of a function can be interpreted as the instantaneous rate of change with respect to its independent variable.

Essential Knowledge: CHA-3.A.2

The derivative can be used to express information about rates of change in applied contexts.

Essential Knowledge: CHA-3.A.3

The unit for f'(x) is the unit for f divided by the unit for x.

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