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Calculus with GeoGebra

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Calculus with GeoGebra - Step-by-Step Students Learn Calculus with GeoGebra


 == You do NOT need to install GeoGebra to use these files === but it's free and great so here's the link: Get GeoGebra


      GeoGebra-Math247    (Links to all GeoGebra resources on this site.)


New: September 2008 - 3. Visualizing the Derivative Formula - by Prof. Dani Novak, Ph.D.


1. Boat-Landing Problem

This cool problem can be explored in 8-10th grade (see Learn and Use GeoGebra) and then solved mathematically in calculus!

Problem setting: A man with a boat at point S at sea wants to get to point Q inland. Point S is distance d1 from the closest point P on the shore, point Q is distance d2 from the closest point T on the shore and point P and T are at a distance of d.

Question: If the man rows with a speed of vr and walks with a speed of vw at what point R should he beach the boat in order to get from point S to point Q in the least possible time?

 



2. Function, Derivatives and Tangent Lines

Learning: Dynamically change the point on the function where the tangent line is drawn. Then change the function and the interval.

 



 3. Visualizing the Derivative Formula


Learning: Use GeoGebra and Algebra to Visualize and Apply the Derivative forumla

Mathcast by Prof. Dani Novak, Ph.D., Ithaca College

 


GeoGebra Menus
  - Lists of open menus wiith tool-icon and commands positions

         in a handy two-page handout - pdf format.
 

   


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