AP®︎ Calculus AB: Topic 7.6 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 7.6 of AP Calculus AB – Finding General Solutions Using Separation of Variables.

Questions List

Topic 7.6

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Question 1 Easy

Consider the differential equation dydx=6x2−sin⁡x\frac{dy}{dx}=6x^2-\sin x.

Which of the following is the general solution of the differential equation, where CC is an arbitrary constant?

Ay=2x3−cos⁡x+Cy=2x^3-\cos x+C
By=12x−cos⁡x+Cy=12x-\cos x+C
Cy=2x3+cos⁡x+Cy=2x^3+\cos x+C
Dy=2x3+cos⁡xy=2x^3+\cos x

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 7.6: Finding General Solutions Using Separation of Variables

Learning Objective: FUN-7.D

Determine general solutions to differential equations.

Essential Knowledge: FUN-7.D.1

Some differential equations can be solved by separation of variables.

Essential Knowledge: FUN-7.D.2

Antidifferentiation can be used to find general solutions to differential equations.

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