Simulations

Calculus

Derivative Explorer

Move Q toward P and watch the secant line converge to the tangent. Explore how the derivative emerges as a limit of average rates of change.

Functions

Function Grapher

Plot any mathematical expression, zoom and pan the window, and instantly see domain, range, and intercepts. Supports trig, log, sqrt and more.

Calculus

Rates of Change

Watch position, velocity, and acceleration on a shared time axis and see how each is the derivative of the one above it.

Calculus

Limit Visualiser

Approach a point from the left and right and watch function values converge — or fail to. Covers jump, removable, and oscillating cases.

Calculus

L'Hôpital's Rule

Apply L'Hôpital's rule one step at a time with full symbolic differentiation. Covers 0/0 and ∞/∞ forms with numerical verification.

Calculus

Discontinuity Explorer

Animate left and right approaches toward all six types of discontinuity — ordinary, removable, infinite, oscillatory and more.