CHAPTER 6
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 BC 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 &
Quotient Rules, Chain Rule, and Implicit Differentiation. You will also learn to find the
derivatives of trigonometric, exponential, logarithmic, and inverse functions, as well
as applyL’Hôpital’sRule.
Key Ideas
KEY IDEA !Definition of the derivative of a function
!Power rule, product & quotient rules, and chain rule
!Derivatives of trigonometric, exponential, and logarithmic functions
!Derivatives of inverse functions
!Implicit differentiation
!Higher order derivatives
!Indeterminate forms andL’Hôpital’sRule75