5 Steps to a 5 AP Calculus AB 2019 - William Ma

MA 3972-MA-Book May 9, 2018 10:9

CHAPTER

7

Big Idea 2: Derivatives

Differentiation

IN THIS CHAPTER

Summary:The derivative of a function is often used to find rates of change. It is also
related to the slope of a tangent line. On the AP Calculus AB exam, many questions
involve finding the derivative of a function. In this chapter, you will learn different
techniques for finding a derivative which include using the Power Rule, Product and
Quotient Rules, Chain Rule, and Implicit Differentiation. You will also learn to find the
derivatives of trigonometric, exponential, logarithmic, and inverse functions.
Key Ideas
KEY IDEA !Definition of the derivative of a function

!Power Rule, Product and Quotient Rules, and Chain Rule

!Derivatives of trigonometric, exponential, and logarithmic functions

!Derivatives of inverse functions

!Implicit Differentiation

!Higher order derivatives

!L’Hôpital’sRule for Indeterminate Forms

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