AP®︎ Calculus AB: Topic 2.3 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 2.3 of AP Calculus AB – Estimating Derivatives of a Function at a Point.


Questions List

Topic 2.3

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13
Q14

Question 1 Easy

The height of a plant, h(t)h(t), in centimeters, is a differentiable function of time tt, in days. Selected values are shown in the table.

tt (days)0481216
h(t)h(t) (cm)59152329


Using the table, what is the best estimate of h′(10)h'(10), in centimeters per day?

A1.51.5
B88
C22
D1919

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 2.3: Estimating Derivatives of a Function at a Point

Learning Objective: CHA-2.D

Estimate derivatives.

Essential Knowledge: CHA-2.D.1

The derivative at a point can be estimated from information given in tables or graphs.

Essential Knowledge: CHA-2.D.2

Technology can be used to calculate or estimate the value of a derivative of a function at a point.