AP®︎ Calculus BC Unit 3: Notes & Study Guide
Prepare for your quiz, test, or the AP exam with a comprehensive review on Unit 3 of AP Calculus BC – 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 BC curriculum.
The Chain Rule
The Chain Rule
- Composite Functions and What the Chain Rule Says
- How to Apply the Chain Rule
- Common Chain Rule Structures on AP Exams
Implicit Differentiation
Implicit Differentiation
- What Implicit Differentiation Is
- The Process for Finding \( \frac{dy}{dx} \)
- Rules You Must Apply Correctly
Differentiating Inverse Functions
Differentiating Inverse Functions
- What the Derivative of an Inverse Function Is
- How to Find \((f^{-1})'(a)\) in Practice
- Tangent Line to an Inverse Function
Differentiating Inverse Trigonometric Functions
Differentiating Inverse Trigonometric Functions
- The Derivatives of Inverse Trigonometric Functions
- Using the Chain Rule with Inverse Trig
- Domain and Radical Awareness
Selecting Procedures for Calculating Derivatives
Selecting Procedures for Calculating Derivatives
- Recognizing the Structure of a Function
- Deciding Which Rule Comes First
- When Multiple Rules Combine
Calculating Higher-Order Derivatives
Calculating Higher-Order Derivatives
- What Higher-Order Derivatives Are
- What Higher-Order Derivatives Tell You
- How You Actually Calculate Them
Notes
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