AP®︎ Calculus AB Unit 3: Notes & Study Guide
Prepare for your quiz, test, or the AP exam with a comprehensive review on Unit 3 of AP Calculus AB – Differentiation: Composite, Implicit, and Inverse Functions.
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
Use chain rule, implicit differentiation, inverses, and higher-order derivatives.
Begin with Topic 3.1: The Chain RuleTo review Unit 3, go through each of the 6 topics below.
Everything you actually need to know for your Unit 3 test, pulled directly from the AP® Calculus AB curriculum.
The Chain Rule
The Chain Rule
- Composite Functions and Why the Chain Rule Exists
- How to Apply the Chain Rule
- Common Composite Structures You Must Know
Implicit Differentiation
Implicit Differentiation
- What Implicit Differentiation Is
- Derivative Rules You Must Apply Inside Implicit Differentiation
- The Implicit Differentiation Process
Differentiating Inverse Functions
Differentiating Inverse Functions
- What the Derivative of an Inverse Function Is
- How to Find the Derivative of an Inverse at a Point
- Derivatives of Inverse Trigonometric Functions
Differentiating Inverse Trigonometric Functions
Differentiating Inverse Trigonometric Functions
- Derivatives of Inverse Trigonometric Functions
- Why They Look Like This
- Using the Chain Rule
Selecting Procedures for Calculating Derivatives
Selecting Procedures for Calculating Derivatives
- What Selecting a Procedure Actually Means
- The Derivative Rules You’re Choosing From
- How to Choose the Right Rule
Calculating Higher-Order Derivatives
Calculating Higher-Order Derivatives
- What Higher-Order Derivatives Are
- Repeated Differentiation in Action
- Patterns You Should Recognize Fast
Notes
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