AP®︎ Calculus BC: Topic 9.7 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 9.7 of AP Calculus BC – Defining Polar Coordinates and Differentiating in Polar Form.


Questions List

Topic 9.7

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Question 1 Easy

Figure

Which point has polar coordinates (−3,π4)\left(-3,\frac{\pi}{4}\right)?

APoint A
BPoint B
CPoint C
DPoint D

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 9.7: Defining Polar Coordinates and Differentiating in Polar Form

Learning Objective: FUN-3.G

Calculate derivatives of functions written in polar coordinates.

Essential Knowledge: FUN-3.G.1

Methods for calculating derivatives of real-valued functions can be extended to functions in polar coordinates.

Essential Knowledge: FUN-3.G.2

For a curve given by a polar equation r = f(θ), derivatives of r, x, and y with respect to θ, and first and second derivatives of y with respect to x can provide information about the curve.