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
Question 1 Easy
The height of a plant, , in centimeters, is a differentiable function of time , in days. Selected values are shown in the table.
| (days) | 0 | 4 | 8 | 12 | 16 |
|---|---|---|---|---|---|
| (cm) | 5 | 9 | 15 | 23 | 29 |
Using the table, what is the best estimate of , in centimeters per day?
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.