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AP Calculus AB: Exam Prep & Study Path

Build calculus reasoning through original practice, worked explanations, concept cards and illustrated video companions.

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Limits & continuity

Limits without guessing

A limit describes nearby output behavior; it need not equal a value assigned at the point.

8 min lesson + practice
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8 domains. One connected path.

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Original diagram: Accumulation is a function; its derivative is a rate VIDEO → ARTICLE
Khan Academy · 8 min read

Accumulation is a function; its derivative is a rate

Connect area, units and the fundamental theorem through an original tank model.

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Original diagram: The chain rule: follow both rates VIDEO → ARTICLE
Khan Academy · 9 min read

The chain rule: follow both rates

Read nested functions, diagnose missing factors and check with a second method.

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Original diagram: Substitution: keep the variable, differential and bounds together VIDEO → ARTICLE
Khan Academy · 10 min read

Substitution: keep the variable, differential and bounds together

Reverse a chain rule, test missing factors and check a decreasing substitution.

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Original diagram: The Mean Value Theorem: conditions before conclusions VIDEO → ARTICLE
Khan Academy · 10 min read

The Mean Value Theorem: conditions before conclusions

Match average and instantaneous rates, then use the theorem to bound a change.

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A focused foundation pilot. 400 original question variants across 96 families. This is a starting set, not complete AP Calculus AB coverage. Explore the coverage map and gaps. Difficulty labels are uncalibrated editorial estimates; independent educator review is pending.