AP®︎ Calculus BC: 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 BC – Verifying Solutions for Differential Equations.

Questions List

Topic 7.2

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Question 1 Easy

Let ff be differentiable on an interval. Which statement correctly defines what it means for y=f(x)y=f(x) to be a solution of dydx=x+y\frac{dy}{dx}=x+y on that interval?

Af(x)=x+f′(x)f(x)=x+f'(x) for every xx in the interval.
Bf′(x)=x+f(x)f'(x)=x+f(x) for at least one xx in the interval.
Cf′(x)=x+f(x)f'(x)=x+f(x) for every xx in the interval.
Dx+f(x)=0x+f(x)=0 for at least one xx in the interval.

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 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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