AP®︎ Calculus BC: Topic 3.2 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 3.2 of AP Calculus BC – Implicit Differentiation.

Questions List

Topic 3.2

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13

Question 1 Easy

Differentiating both sides of x3+y3=9x^3 + y^3 = 9 with respect to xx gives which equation?

A3x2dydx+3y2dydx=03x^2\frac{dy}{dx} + 3y^2\frac{dy}{dx} = 0
B3x2=03x^2 = 0
C3x2+3y2dydx=03x^2 + 3y^2\frac{dy}{dx} = 0
D3x2+3y2=03x^2 + 3y^2 = 0

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 3.2: Implicit Differentiation

Learning Objective: FUN-3.D

Calculate derivatives of implicitly defined functions.

Essential Knowledge: FUN-3.D.1

The chain rule is the basis for implicit differentiation.

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