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AP Calculus AB / Unit 3

Unit 3 · 5–10%

Differentiation: Composite, Implicit, and Inverse Functions

The chain rule is the derivative of a function inside a function.

Start first lessonUnit practice

Topics

  • Chain rule
  • Implicit differentiation
  • Inverse functions
  • Inverse trig and exponential/log pieces used in AB

Lessons

Key terms

Original practice

Marlow Works questions. If this unit does not have its own items yet, you will see other questions from the same course.

1 of 3Limits and Continuity · easy · multiple choice

What is lim (x→3) of (x² − 9) / (x − 3)?

Original Marlow Works item — not a College Board question.

Take your time—this is practice, not a test.

Review checklist

  1. 01Name the outer function and the inner function before differentiating.
  2. 02When you differentiate y², write 2y y′.
  3. 03For inverses, keep track of which function’s slope you are reciprocating.

Related resources

External links with reuse status. Marlow Works is independent and does not copy restricted exam or textbook material.

  • Official / link only

    AP Calculus AB course page

    Official eight-unit framework and 2027 exam updates.

    College Board · All rights reserved · accessed 2026-10-01

    Open source

  • Reference only — do not copy

    OpenStax College Algebra 2e

    Algebra reference; current terms include noncommercial and AI-ingestion limits.

    OpenStax · Restricted — see publisher page · accessed 2026-10-01

    Open source