AP®︎ Calculus BC: Topic 2.2 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 2.2 of AP Calculus BC – Defining the Derivative of a Function and Using Derivative Notation.
Questions List
Topic 2.2
Question 1 Easy
Which of the following is the definition of the derivative of a function ?
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 2.2: Defining the Derivative of a Function and Using Derivative Notation
Learning Objective: CHA-2.B
Represent the derivative of a function as the limit of a difference quotient.
Essential Knowledge: CHA-2.B.2
The derivative of f is the function whose value at x is f'(x) = lim (h→0) (f(x+h) − f(x))/h, provided this limit exists.
Essential Knowledge: CHA-2.B.3
For y = f(x), notations for the derivative include dy/dx, f'(x), and y'.
Essential Knowledge: CHA-2.B.4
The derivative can be represented graphically, numerically, analytically, and verbally.
Learning Objective: CHA-2.C
Determine the equation of a line tangent to a curve at a given point.
Essential Knowledge: CHA-2.C.1
The derivative of a function at a point is the slope of the line tangent to a graph of the function at that point.
