The following animation offers a clear introduction to differential and integral calculus. The relationship between a derivative and a root function is illustrated. The example is a cart with position, velocity and acceleration as a function of time.

The curve in the upper right area describes the position. In the upper left window, the trolley itself is displayed. The shape of the position curve can be changed interactively with the mouse. The first derivative function refers to the velocity, the second derivative function to the acceleration. Both derivative functions adapt continuously as soon as the root function (position) is changed.

The curve, which describes the distance covert by the object, can be manipulated using the mouse. The start and end points can be moved. The slopes are adjusted with the other markers.

In the illustration of the moving object in the upper left area, the acceleration is represented by a vector arrow.

## Overview and Download

Title | Differential and integral calculus |

Target audience | Teachers and lecturers |

Plattformen | Microsoft® Windows® Apple® Macintosh® |

Features | Full screen mode Lossless magnification Large screens supported |

License | Freeware (for non-commercial use) |

Download | Microsoft® Windows® Apple® Macintosh® |

## Sources

Authoring tool: Adobe Animate