Graph of a Function and Its Derivative

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NCB Deposit #7
contributed by
Dr. Frank Wattenberg
United States Military Academy, West Point, NY

from West Point

Sylvanus Thayer
"Father of West Point"

At West Point, the content of mathemaics courses is very special - as are the students. In 2002 when Wattenberg first submitted Deposit #7 to the NCB he included instructions for writing "Lite Applets" to create interactive web sites. To update his course now16 years later he writes, " I've been doing a lot recently but have been using client-side Javascript and server-side php rather than Java."

In 2002, Dr. Wattenberg first considered an inner active function

and its derivative.

Students investigated moving arrows and marked points using Applets.

By only changing "a" in this graph,the derivative retains a value of ( 0, 0 ). This is another way of saying that changes in "a" do not move the derivative from the origin.

See the following links for a fascinating sample.

Depost # 7 Links

Comparing Time Series Graphs and Cobweb Diagrams
Washington Area Flight Simulator
A Visual Look at Linear Transformations (use Safari or Google Chrome)
Using Linear Transformations on Images (use Safari or Google Chrome)
Using Linear Transformations to Make Animations (use Safari or Google Chrome)


		Updated in 2018 by Jonathan Sahagun jonathansahagun93@gmail.com