MathsGrades 11–12 / AP122 cardsFact-checked
Calculus AB Flashcards
Differentiation rules, standard derivatives and antiderivatives, limits, and the named theorems of AP Calculus AB — the recall half of the course on one deck.
Free to play in your browser — no account, no install. The first 30 cards are free forever. The deck opens with Definition of the derivative, Alternate definition of the derivative at a, Constant rule and Power rule and runs to 122 cards in all.
Flip freely. Nothing is scored — go round as many times as you like.
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92 more calculus ab cards
You are playing the first 30, free forever. Unlock all 122 for $2.99 once — no account, no renewal — or take every deck on the site with the Study Pack at $11.99 a month.
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Calculus AB flashcards — the free 30
Every question and answer on the free cards, written out. Check them against your own textbook before you spend anything.
- Definition of the derivative
- f′(x) = lim(h→0) [f(x + h) − f(x)] / h
- Alternate definition of the derivative at a
- f′(a) = lim(x→a) [f(x) − f(a)] / (x − a)
- Constant rule
- d/dx [c] = 0
- Power rule
- d/dx [xⁿ] = n·xⁿ⁻¹, for constant n — it does not apply to xˣ or other variable exponents
- Constant multiple rule
- d/dx [c·f(x)] = c·f′(x)
- Sum rule
- d/dx [f + g] = f′ + g′
- Difference rule
- d/dx [f − g] = f′ − g′
- Product rule
- d/dx [uv] = u′v + uv′
- Quotient rule
- d/dx [u/v] = (u′v − uv′) / v²
- Chain rule
- d/dx [f(g(x))] = f′(g(x)) · g′(x)
- Derivative of an inverse function
- (f⁻¹)′(b) = 1 / f′(a), where f is one-to-one and differentiable near a, f(a) = b, and f′(a) ≠ 0
- d/dx [x]
- 1
- d/dx [x²]
- 2x
- d/dx [x³]
- 3x²
- d/dx [x⁵]
- 5x⁴
- d/dx [7x³]
- 21x²
- d/dx [√x]
- 1 / (2√x)
- d/dx [1/x]
- −1/x²
- d/dx [eˣ]
- eˣ
- d/dx [e^(kx)]
- k·e^(kx)
- d/dx [aˣ]
- aˣ · ln a, for constant a > 0
- d/dx [ln x]
- 1/x
- d/dx [ln|x|]
- 1/x
- d/dx [ln(kx)]
- 1/x
- d/dx [log_a x]
- 1 / (x · ln a)
- d/dx [sin x]
- cos x
- d/dx [cos x]
- −sin x
- d/dx [tan x]
- sec²x
- d/dx [cot x]
- −csc²x
- d/dx [sec x]
- sec x · tan x
Calculus AB flashcards — questions people ask
- How many cards are in the Calculus AB flashcard deck?
- The Calculus AB deck on PuzzlePage has 122 cards. The first 30 are free to play and free to download with no account; the remaining 92 unlock for $2.99 as a one-time payment, or with the $11.99-a-month Study Pack that covers every deck on the site. 122 cards covering the AB derivative and integral tables, the named theorems and the standard applications. Beyond this you are into BC material.
- What is on the calculus ab flashcards?
- Differentiation rules, standard derivatives and antiderivatives, limits, and the named theorems of AP Calculus AB — the recall half of the course on one deck. Cards look like this: Definition of the derivative → f′(x) = lim(h→0) [f(x + h) − f(x)] / h; Alternate definition of the derivative at a → f′(a) = lim(x→a) [f(x) − f(a)] / (x − a). The deck is written for grades 11–12 / ap and filed under maths.
- Can I study calculus ab flashcards online for free?
- Yes. The first 30 cards of the Calculus AB deck play free in any web browser at puzzlepage.app, with no account, no app and no card details. It works on a phone, tablet, Chromebook, laptop or classroom projector. Practice mode flips through the cards with nothing scored; quiz mode makes you answer each card before it flips, times the run and scores it.
- Are the calculus ab flashcards accurate?
- Every card in the Calculus AB deck was read and fact-checked by a subject-matter specialist before it went on sale, as was every other card on PuzzlePage — 5,420 cards across 30 decks. The audit found and fixed real defects, and one deck was withdrawn from sale entirely rather than shipped with a known problem. That is the difference from a user-generated flashcard site, where the cards are whatever a stranger typed and nobody is accountable for them.
- Can I print the calculus ab flashcards?
- Yes. The Calculus AB cards are available as a printable double-sided PDF to cut up, as well as playable in the browser. The first 30 cards are free to download; the full 122-card printable is included in the $11.99-a-month Study Pack.
- How should I use the Calculus AB deck to revise?
- Start in practice mode and go through the Calculus AB deck once without scoring, to find out which cards you already know — the deck is dealt in a different order every time you open it, so you are recalling the card rather than its position. Then switch to quiz mode, which times and scores the run and lets you re-run only the cards you missed. Use the "flip deck" control to swap which side is the question: recognising an answer is much easier than producing one, so a deck you find easy one way round is usually the harder and more useful drill the other way. Two or three short sessions across a week beat one long one, which is the whole reason flashcards work.
- What grade level are the calculus ab flashcards for?
- The Calculus AB deck is written for grades 11–12 / ap. Because the cards are plain term-and-answer pairs, they are also used outside that band — by adults revising maths, and by teachers running them as a whole-class starter on a projector.
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