AP®︎ Calculus BC: 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 BC – 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

Question 1 Easy

The function ff is differentiable. Selected values of ff are given in the table.

xx02468
f(x)f(x)1014202527


Using the data in the table, what is the best approximation of f′(4)f'(4)?

A2020
B112\frac{11}{2}
C1111
D114\frac{11}{4}

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 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.