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AP Calculus AB Units 2–3: Derivatives
Build fluency in derivative rules, interpretation, and real-world rate-of-change modeling for AP Calculus AB.
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What this unit covers
6 lessons, each with worked examples, practice problems and flashcards.
Unit 2: Differentiation: Definition and Fundamental Properties
- Definition of the Derivative
Derivative as a limit, differentiability, graphical interpretation, and tangent lines
- Basic Differentiation Rules
Power rule, product rule, quotient rule, trig derivatives, and higher-order derivatives
- Derivatives of Exponential Functions
Finding derivatives involving e^x and other exponential functions
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
- Chain Rule
Chain rule, implicit differentiation, and related rates
- Implicit Differentiation
Finding derivatives when y is not isolated
- Inverse Functions & Derivatives
Derivatives of inverse functions, inverse trig derivatives, and logarithmic differentiation
Common questions
- What does AP Calculus AB Units 2–3: Derivatives cover?
- 6 lessons across 2 areas: Unit 2: Differentiation: Definition and Fundamental Properties, Unit 3: Differentiation: Composite, Implicit, and Inverse Functions.
- Is AP Calculus AB Units 2–3: Derivatives free to study?
- Yes. Every lesson, quiz and set of flashcards on this page is free to use.
- Where should I start?
- Take the diagnostic first so you know which lessons in this unit you can skip, then work the rest in order and finish each with its exit quiz.