AP Calculus AB · Unit 3

Composite, Implicit & Inverse Functions

One rule — the chain rule — and the three disguises it wears on the exam.

CED Topics 3.1 – 3.6 · Exam weight 9–13%
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§ 1Big Picture

§ 2Vocabulary

Tap a card to flip. Use Mark Known to track your progress — it's saved in your browser. Search to filter.

§ 3Theorems & Definitions

Each card opens to show Statement / Hypotheses / Conclusion / Why it matters. On the AP exam, quoting a theorem's hypotheses is often the point itself. Click a card to expand.

§ 4Formulas & Rules

Gold dots = must be automatic by exam day. There is no formula sheet on the AP Calculus exam — everything here lives in your head.

§ 5Learning Objectives

Click a question to reveal a model answer. These are the College Board's essential questions for this unit — if you can answer each cold, you own the unit.

§ 6Multiple-Choice Practice

Section I is 45 MCQs worth 50% of your score — 30 without a calculator, 15 with. Each question below is labeled. Explanations appear after you answer.

§ 7Free-Response Workbook

Rule of thumb: every FRQ point is earned by shown work or stated reasoning — a bare answer, even a correct one, rarely earns full credit. Write your response first, then reveal the model.

§ 8Worked Problems, Step by Step

One rich problem, dissected the way a grader reads it. Work each step yourself before revealing the analysis.

§ 9Justification Bootcamp

AP Calculus is a writing exam in disguise: specific sentences earn specific points. Learn the sentence, then practice producing it under pressure.

§ 10Problem Archetypes

The same Unit 3 problems reappear year after year in light disguise. Learn the skeleton and the attack plan for each.

§ 11Common Pitfalls

The specific mistakes students make over and over on Unit 3 questions.

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