AP®︎ Calculus BC: 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 BC – Interpreting the Meaning of the Derivative in Context.

Questions List

Topic 4.1

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Question 1 Easy

Let h(t)h(t) be the height, in centimeters, of a sunflower tt days after it sprouts. Suppose h′(6)=4h'(6)=4.

Which of the following is the best interpretation of h′(6)=4h'(6)=4?

AAt t=4t=4 days, the height of the sunflower is increasing at a rate of 6 centimeters per day.
BAt t=6t=6 days, the height of the sunflower is increasing at a rate of 4 days per centimeter.
CAt t=6t=6 days, the height of the sunflower is increasing at a rate of 4 centimeters per day.
DAt t=4t=4 days, the height of the sunflower is increasing at a rate of 6 days per centimeter.

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus BC 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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