AP®︎ Calculus BC: Topic 5.12 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 5.12 of AP Calculus BC – Exploring Behaviors of Implicit Relations.
Questions List
Topic 5.12
Question 1 Easy
For the curve , .
What are the slopes of the lines tangent to the curve at the points where ?
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 5.12: Exploring Behaviors of Implicit Relations
Learning Objective: FUN-4.D
Determine critical points of implicit relations.
Essential Knowledge: FUN-4.D.1
A point on an implicit relation where the first derivative equals zero or does not exist is a critical point of the function.
Learning Objective: FUN-4.E
Justify conclusions about the behavior of an implicitly defined function based on evidence from its derivatives.
Essential Knowledge: FUN-4.E.1
Applications of derivatives can be extended to implicitly defined functions.
Essential Knowledge: FUN-4.E.2
Second derivatives involving implicit differentiation may be relations of x, y, and dy/dx.
