AP®︎ Calculus AB: Topic 7.2 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 7.2 of AP Calculus AB – Verifying Solutions for Differential Equations.

Questions List

Topic 7.2

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Question 1 Easy

Which condition is sufficient to verify that a function y=f(x)y=f(x) is a solution of a differential equation on a given interval?

ASubstituting f(x)f(x) and its derivatives makes the equation true for at least one input in the interval.
BSubstituting f(x)f(x) and its derivatives makes the equation true at x=0x=0.
CThe function f(x)f(x) equals the expression on the right side of the equation for every input in the interval.
DSubstituting f(x)f(x) and its derivatives makes the equation true for every input in the interval.

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 7.2: Verifying Solutions for Differential Equations

Learning Objective: FUN-7.B

Verify solutions to differential equations.

Essential Knowledge: FUN-7.B.1

Derivatives can be used to verify that a function is a solution to a given differential equation.

Essential Knowledge: FUN-7.B.2

There may be infinitely many general solutions to a differential equation.

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