∞Limitless

AP CALCULUS AB

Calculus

The mathematics of change

Build intuition for limits, derivatives, and integrals with interactive graphs — aligned with AP Calculus AB topics.

Start with lesson 1 Practice Calculus

3 units · 5 lessons · about 77 minutes · 17 practice questions

UNIT 1

Limits

  1. 1

    Understanding Limits

    A limit describes where a function is heading, not necessarily where it is.

UNIT 2

Derivatives

  1. 2

    The Derivative as Slope

    Zoom in on a curve until it looks straight — that slope is the derivative.

  2. 3

    Derivative Rules

    Power, product, quotient, and chain rules — the shortcuts that make differentiation fast.

UNIT 3

Integrals

  1. 4

    Area & Riemann Sums

    Approximate the area under a curve with rectangles, then let them get infinitely thin.

  2. 5

    The Fundamental Theorem

    Integration and differentiation are inverse operations — and that makes area easy.