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Topic: 1.44 - Why does Newton's difference quotient work at all?
Replies: 3   Last Post: Jun 21, 2014 11:01 AM

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johngabriel2009@gmail.com

Posts: 281
Registered: 5/25/14
1.44 - Why does Newton's difference quotient work at all?
Posted: Jun 20, 2014 2:33 PM
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The following applet explains dynamically why Newton's derivative definition worked:

https://www.filesanywhere.com/fs/v.aspx?v=8b6d668f616372b6a5ae

If Newton restricted his definition to the general derivative, then it was unnecessary for Cauchy to add his limit concept.

The article called Cauchy's Kludge (at http://thenewcalculus.weebly.com) explains in detail.

Comments are NOT welcome. This comment is provided in the interests of public education; and to eradicate ignorance and stupidity from mainstream mathematics.



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