Analysis of a Family of Curves

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration calculates the information needed for a careful sketch of each of the graphs of the functions in the family . In addition, the area under the curve and the volumes of revolution are calculated.

Contributed by: Dieter Küntzer  (March 2011)
(Cusanus-Gymnasium St. Wendel)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The presented program analyzes and visualizes a one-parameter family of functions. You can replace the function in the program.

Extreme points and inflection points are highlighted in the graph on the left. A change of the interval limits and will only result in a change to the area and volume calculations.

For the calculation of the area under the curve, choose the interval so that all function values in this interval are positive or negative (in the latter case, the value of the integral is the negative of the area).



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send