AP Calculus BC Knowledge Review: Differentiation

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Introduce:

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 apply L'H?pital's Rule.

Key Ideas

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 and L'H?pital's Rule

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