AP®︎ Calculus BC: Topic 2.1 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 2.1 of AP Calculus BC – Defining Average and Instantaneous Rates of Change at a Point.
Questions List
Topic 2.1
Question 1 Easy
Let .
What is the average rate of change of over ?
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 2.1: Defining Average and Instantaneous Rates of Change at a Point
Learning Objective: CHA-2.A
Determine average rates of change using difference quotients.
Essential Knowledge: CHA-2.A.1
The difference quotients (f(a+h) - f(a))/h and (f(x) - f(a))/(x - a) express the average rate of change of a function over an interval.
Learning Objective: CHA-2.B
Represent the derivative of a function as the limit of a difference quotient.
Essential Knowledge: CHA-2.B.1
The instantaneous rate of change of a function at x = a can be expressed by lim_{h→0} (f(a+h) - f(a))/h or lim_{x→a} (f(x) - f(a))/(x - a) provided the limit exists. These are equivalent forms of the definition of the derivative and are denoted f'(a).
