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AP Calculus Unit 3 - Differentiation: Composite, Implicit, and Inverse Functions

Math with Professor V via YouTube

Overview

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Master advanced differentiation techniques essential for AP Calculus AB/BC success through this comprehensive 5-hour video playlist covering Unit 3 content. Learn to apply the Chain Rule to composite functions with step-by-step breakdowns that make complex derivatives manageable in under 7 minutes per concept. Develop proficiency in implicit differentiation to find derivatives when variables aren't isolated, and explore derivatives of inverse functions including inverse trigonometric functions. Practice logarithmic differentiation for handling complex products, quotients, and exponential expressions where traditional rules fall short. Study higher-order derivatives and their applications to motion analysis and curve behavior. Work through multiple examples designed to strengthen understanding of each technique, from basic chain rule applications to advanced implicit differentiation problems. Prepare for both multiple-choice and free-response AP exam questions with targeted practice problems that mirror College Board expectations. Build confidence in recognizing when to apply each differentiation method and develop the problem-solving skills needed for test day success.

Syllabus

Master the CHAIN RULE in UNDER 7 MINUTES! | Math with Professor V
The Chain Rule: Best Explanation to Help You Master Taking Derivatives! Math with Professor V
Derivatives of Inverse Trig Functions | Calculus 1 | Math with Professor V
The Chain Rule | Calculus 1 | Math with Professor V
Logarithmic Differentiation | Calculus 1 | Math with Professor V
Calculus 1: Differentiation Examples using the Product, Quotient, and Chain Rules | Math w Prof V
Calculus 1: Implicit Differentiation (Video #13) | Math with Professor V
Calculus 1: The Chain Rule (Video #12) | Math with Professor V
AP Calculus Unit 3 Review | Chain Rule, Implicit & Inverse Differentiation + AP-Style Practice
Implicit Differentiation Demystified | Calculus 1 — The Chain Rule You’ve Been Using All Along
Logarithmic Differentiation (AP Calc & Calc 1) | When the Chain Rule Isn’t Enough (or Is Too Much)

Taught by

Math with Professor V

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