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Q: Mathmatical derivatives ( Answered,   1 Comment )
Question  
Subject: Mathmatical derivatives
Category: Science > Math
Asked by: richardson-ga
List Price: $2.00
Posted: 06 Nov 2004 10:41 PST
Expires: 06 Dec 2004 10:41 PST
Question ID: 425358
Where do I find examples of simple applications of a mathematical derivative?
Answer  
Subject: Re: Mathmatical derivatives
Answered By: livioflores-ga on 06 Nov 2004 21:25 PST
 
Hi richardson!!


I think that I found what are you looking for, the following page
lists the main simple applications of the derivative:
"Summary: Applications of the Derivative":
-Relative Maxima and Minima
-Absolute Maxima and Minima
-Locating Candidates for Relative Extrema
-Applications of Maxima and Minima: Optimization Problems
-Acceleration, Concavity, and the Second Derivative
-Analyzing Graphs
-Related Rates
-Elasticity of Demand
http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/Calcsumm5.html


Other pages that give examples of the applications of the derivative are:
"Applications of the Derivative":
http://www.ltcconline.net/greenl/courses/115/applications/default.htm


At SPARKNOTES:(follow the links at the pages to see the examples and explanations)
"Calculus AB: Applications of the Derivative":
http://www.sparknotes.com/math/calcab/applicationsofthederivative/

"Calculus BC: Applications of the Derivative":
http://www.sparknotes.com/math/calcbc1/applicationsofthederivative/


See also the following page that propose a lot of exercises to do:
"DERIVATIVES: APPLICATIONS"
http://www.tjhsst.edu/~alittle/cs_math/dir_app.pdf



Search strategy:
applications derivative
"applications of the derivative"


I hope that this helps you. Feel free to request for a clarification
if you need it.

Best regards.
livioflores-ga
Comments  
Subject: Re: Mathmatical derivatives
From: mathtalk-ga on 06 Nov 2004 14:30 PST
 
In a calculus book.  Simple applications are:

 - average speed vs. instantaneous speed (Mean Value Theorem)

 - acceleration (falling body in constant gravity)

 - related rates, like how fast the height of a conical pile 
   of sand increases in response to a rate of increase in sand
   volume trickled onto the pile

Many other simple applications can be found in undergrad physics and
economics texts.

regards, mathtalk-ga

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