Instantaneous Rate of Change
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This Demonstration shows the instantaneous rate of change for different 
values of a cubic polynomial. Use the sliders to explore the special points. Also, find 
values so that the polynomial has a given instantaneous rate of change, say 
.
Contributed by: Wolfgang Narrath and Reinhard Simonovits (March 2011)
Open content licensed under CC BY-NC-SA
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"Instantaneous Rate of Change"
http://demonstrations.wolfram.com/InstantaneousRateOfChange/
Wolfram Demonstrations Project
Published: March 7 2011
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