AP®︎ Calculus AB: Topic 5.9 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 5.9 of AP Calculus AB – Connecting a Function, Its First Derivative, and Its Second Derivative.


Questions List

Topic 5.9

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13
Q14
Q15
Q16
Q17
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Question 1 Easy

Figure

The graph of ff is shown, with four labeled points.

At which labeled point are both f′(x)<0f'(x)<0 and f′′(x)>0f''(x)>0?

APoint AA
BPoint BB
CPoint CC
DPoint DD

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 5.9: Connecting a Function, Its First Derivative, and Its Second Derivative

Learning Objective: FUN-4.A

Justify conclusions about the behavior of a function based on the behavior of its derivatives.

Essential Knowledge: FUN-4.A.11

Key features of the graphs of f, f', and f" are related to one another.