AP Calculus AB · Cram chart

AP Calc AB cheat sheet a unit-by-unit cram chart.

This AP Calc AB cheat sheet — also written AP Calculus AB cheat sheet — goes past a plain formula list: for each of the eight units it pairs the key idea with the must-know tool and the mistake that costs students points. Use it as a fast cram chart in your final week of review.

Updated June 2026Part of AP Calculus AB Review

What an AP Calc AB cheat sheet is (and what you can bring)

A cheat sheet here means a condensed, high-yield study tool, not something you take into the exam. You cannot bring notes — and because AP Calculus AB provides no formula sheet either, you walk in with everything memorized. The only tool you get is a graphing calculator, and only on Part B of the multiple choice and Part A of the free response. Think of this page as what you review the night before.

What makes it more useful than a raw formula list is context: the one idea each unit is really testing, and the setup or notation slip that turns a correct calculation into a lost point.

Cheat sheet vs the formula sheet

They do different jobs. The formula sheet is the full list of derivatives, integrals, and theorems you have to memorize. This cheat sheet is shorter and concept-first: it reminds you which tool each unit calls for and where students go wrong, which a raw formula list leaves out.

The unit-by-unit cram chart

Eight units, each boiled down to the idea, the must-know tool, and the trap to dodge.

Unit 1 — Limits & continuity

Idea: how a function behaves near a point. Must-know: limit laws, one-sided limits, continuity, and the Intermediate Value Theorem. Watch out: plugging in before simplifying a 0/0 form.

Unit 2 — Differentiation: definition & properties

Idea: the derivative is an instantaneous rate and slope. Must-know: the limit definition and the power, product, and quotient rules. Watch out: reversing the order in the quotient rule.

Unit 3 — Composite, implicit & inverse

Idea: differentiate complicated and non-explicit functions. Must-know: the chain rule, implicit differentiation, and inverse derivatives. Watch out: dropping the inside derivative in the chain rule.

Unit 4 — Contextual applications

Idea: derivatives as rates in real contexts. Must-know: motion, related rates, linear approximation, and L’Hôpital’s rule. Watch out: mislabeling units or the sign of velocity.

Unit 5 — Analytical applications

Idea: use derivatives to analyze a graph. Must-know: increasing/decreasing, concavity, the first and second derivative tests, and optimization. Watch out: claiming an extremum without a sign analysis. (15–18%)

Unit 6 — Integration & accumulation

Idea: antiderivatives and accumulated change. Must-know: the Fundamental Theorem, Riemann sums, u-substitution, and average value. Watch out: forgetting +C or the new bounds after substituting. (heaviest, 17–20%)

Unit 7 — Differential equations

Idea: equations that involve a derivative. Must-know: slope fields, separation of variables, and exponential growth/decay. Watch out: forgetting the constant or the initial condition.

Unit 8 — Applications of integration

Idea: integrals measure area and volume. Must-know: area between curves and volumes by disk, washer, and known cross-section. Watch out: wrong orientation (top minus bottom) or mis-squaring the radius.

Where students lose the most points

On the free response, most lost points are not the arithmetic — they are the justification. Graders want correct setup, proper notation (including dx and limits of integration), and a reason for each conclusion, stated in the context of the problem. A right answer with missing work or a bare number rarely earns full credit. Our FRQ guide breaks down how each free-response question is scored.

How to use this in your last week

Read one unit of the cram chart, then do two or three problems from that unit and grade yourself against the idea-tool-mistake row, checking your setup and justification, not just the final answer. Close gaps with the Progress Check walkthroughs, keep the formula sheet open so the tools stay memorized, and check a practice raw score with the score calculator.