Interactive tool: How does a function releate to its Derivative and Integral (PhET / UC Boulder)

Posted on August 26, 2010 by


Interactive tool for showing how derivatives and integrals relate to a graph of a function. Really great for experimenting with the meaning of basic calculus ideas. Intuitive and graphical. Spend a little time playing to see where the derivative is zero, positive, negative, or how the integral grows.

Draw a graph of any function and see graphs of its derivative and integral. Don’t forget to use the magnify/demagnify controls on the y-axis to adjust the scale.



PhET is a collection of online science and math simulations sponsored by the University of Colorado, Boulder. They can be run from any web browser provided Java/and or Flash are installed on your local computer.