All examsAP Calculus ABFoundation path
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AP Calculus AB: Knowledge Library & Illustrated Guides
Illustrated teaching guides, official reference links, and a transparent source record.
VIDEO → ARTICLEKhan 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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VIDEO → ARTICLEKhan 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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VIDEO → ARTICLEKhan 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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VIDEO → ARTICLEKhan Academy · 10 min read
The Mean Value Theorem: conditions before conclusions
Match average and instantaneous rates, then use the theorem to bound a change.
Read the illustrated guideThese guides use actual video captions for a short source synopsis and timestamp map. Teaching text, worked examples, and diagrams are original companions. They do not reproduce full transcripts or downloaded video.