Calculus animations made with AI

Limits, derivatives, integrals and series are easiest to understand when you can watch a secant line become a tangent or see Riemann rectangles converge. These narrated calculus animations were generated from one-sentence prompts and verified so that every label and formula stays readable.

Prompts to start from

• Show how the derivative of sin(x) is cos(x) using the unit circle
• Animate Riemann sums converging to the integral of x² from 0 to 2
• Visualize the chain rule as nested rates of change

Calculus animations from the gallery

Solving Second-Order Linear ODEs

This animation walks through solving a linear second-order differential equation with constant coefficients by…

Derivatives Explained Through Speed and Slope

This animation connects the idea of speed to the mathematical concept of the derivative. It opens with a car's…

Epsilon-Delta Definition Of A Limit

An animation shows a function graph near a point c, with a horizontal epsilon-band around the limit value L an…

The Power Rule for Derivatives

This animation visualizes the Power Rule by showing f(x)=x³ as a smooth curve that transforms as its exponent …

Evaluating the Integral x Cubed Over e^x Minus 1

This animation walks through the classic improper integral ∫₀^∞ x³/(e^x − 1) dx, showing how expanding 1/(e^x …

The Definition Of A Derivative

This animation builds the formal definition of a derivative from a secant line through two points on a curve. …

The Core Idea Behind Integration

This animation visualizes integration as the process of summing infinitely many thin slices under a curve to f…

Integration As Accumulated Area

This animation shows how integration builds up total area under a curve by summing infinitely many thin rectan…

The Fundamental Concept of Differentiation

This animation shows how differentiation captures instantaneous rate of change by shrinking a secant line into…

Understanding the Concept of a Limit

This animation shows a point moving along a function's graph as its input approaches a fixed value, tracking h…

Questions

What is the best AI tool for making math animations?

For narrated, 3Blue1Brown-style explainer animations from a plain-English description, Vismo is built specifically for that job: it generates Manim code with AI, verifies every frame for overlapping or cut-off text before rendering, and adds a voiceover in 9 languages. General video generators (Sora, Runway, FlexClip) produce footage, not accurate mathematical diagrams, and hand-written Manim requires Python.

Can AI generate Manim animations?

Yes. Vismo uses Claude models to write Manim Community Edition code from your prompt. The difference from asking a chatbot for code is what happens next: Vismo executes the scene headlessly, measures the real bounding boxes of every object in every animation step, and repairs layout problems (text overlapping shapes, labels off-screen, formulas too close together) before the video is rendered.

What subjects can Vismo animate?

Anything that can be drawn with shapes, graphs, formulas and text: calculus, algebra, geometry, trigonometry, linear algebra, probability and statistics, number theory, physics, chemistry and computer science. Browse the public gallery to see real examples by topic.