About Calculus Grapher
Manipulate a graph of any function and see graphs of its integral, first derivative, and second derivative. Drag the tangent line along the curve, and accumulate area under the curve.
How to play Calculus Grapher
Everything is hands-on: drag, click and experiment — the simulation reacts instantly. Manipulate a graph of any function and see graphs of its integral, first derivative, and second derivative.
Questions & answers
- What is Calculus Grapher?
- Calculus Grapher is a free interactive simulation from PhET Interactive Simulations (University of Colorado Boulder) that you can play right in your browser on crumble.lol — no downloads and no sign-up. Manipulate a graph of any function and see graphs of its integral, first derivative, and second derivative. Drag the tangent line along the curve, and accumulate area under the curve.
- What can kids learn from Calculus Grapher?
- It helps kids explore: given a function, predict the integral, first derivative, or second derivative curves identify critical points and compare that x-value across multiple graphs using the reference line identify where slope is changing, constant, or zero, and relate the slope of the tangent line to the derivative curve identify where area under the curve is positive or negative, and relate the net signed area to the integral curve explain the effect of a discontinuity in a function on the derivative and the integral curves.
- What age is Calculus Grapher good for?
- It is designed for high school up to university, and curious kids outside that range can absolutely enjoy poking around it too.
- Is Calculus Grapher free to play?
- Yes — Calculus Grapher is completely free on crumble.lol and runs fully in your browser on computers and tablets.