AP Calculus AB

Limits, derivatives, integrals, and 6 free-response problems per exam.

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1FRQ prompts

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What's in Calc AB

Every unit is mapped to the official Course and Exam Description.

U1Limits & Continuity

U2Differentiation: Definition

U3Differentiation: Composite/Implicit

U4Contextual Applications

U5Analytical Applications

U6Integration

U7Differential Equations

U8Applications of Integration

Try a few sample questions

Real Calc AB format. Filter by difficulty or skill, then tap an answer to reveal the explanation.

10 matches

Q1Limitseasy

What is lim(x→3) of (x² − 9)/(x − 3)?

Q2Derivativesmedium

If f(x) = x³ − 6x² + 9x, which of the following are the x-values where f has a local extremum?

Q3Integralsmedium

What is ∫(2x + 3)dx?

Q4Derivativeshard

If g(x) = sin(x²), what is g'(x)?

Sample FRQ · AI graded

FRQ prompt

Free Response Question: Let f(x) = x³ − 6x + 2.

(a) Find f'(x).
(b) Find all critical points of f on the interval [−3, 3] and classify each as a local maximum, local minimum, or neither. Justify your answer.
(c) Find the absolute maximum and absolute minimum values of f on [−3, 3].

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