AP®︎ Calculus BC: Topic 9.4 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 9.4 of AP Calculus BC – Defining and Differentiating Vector-Valued Functions.


Questions List

Topic 9.4

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8

Question 1 Easy

A particle moves in the xy-plane. Its position at time t>0t>0 is (t3−2t, 4t)(t^3-2t,\ 4\sqrt{t}). Let r(t)r(t) be its position vector. What is r′(4)r'(4)?

A⟨56,8⟩\langle 56, 8\rangle
B⟨46,2⟩\langle 46, 2\rangle
C⟨46,1⟩\langle 46, 1\rangle
D⟨24,−18⟩\left\langle 24, -\frac18\right\rangle

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 9.4: Defining and Differentiating Vector-Valued Functions

Learning Objective: CHA-3.H

Calculate derivatives of vector-valued functions.

Essential Knowledge: CHA-3.H.1

Methods for calculating derivatives of real-valued functions can be extended to vector-valued functions.