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Topic: Defining the derivative
Replies: 29   Last Post: Aug 29, 2000 11:55 PM

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Richard J Maher

Posts: 80
Registered: 12/6/04
Re: Defining the derivative
Posted: Jun 7, 2000 10:57 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Hi Lisa,

I have found using the (f(a+h)-f(a))/h quotient a bit easier
for one main reason: When you want to move from the slope of a
tangent line to the general idea of the derivative of a function,
you can replace the a by an x. If you use the (f(x)-f(a))/(x-a)
quotient, some students find the notational devices that must be
used when the general derivative is defined to be a bit confusing.

Dick Maher


Richard J. Maher
Mathematical and Computer Sciences
Loyola University Chicago
6525 N. Sheridan Rd.
Chicago, Illinois 60626
1-773-508-3565
rjm@math.luc.edu




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Date Subject Author
6/5/00
Read Defining the derivative
Lisa Murphy
6/5/00
Read Re: Defining the derivative
LnMcmullin@aol.com
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Read Re: Defining the derivative
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6/7/00
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8/28/00
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Victor Steinbok
6/9/00
Read Re: Defining the derivative
Martin Flashman
6/7/00
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6/8/00
Read Re: Defining the derivative
martha a green
6/8/00
Read Re: Defining the derivative
Leonard Thomas
6/9/00
Read Re: Defining the derivative
me@talmanl1.mscd.edu
6/9/00
Read Re: Defining the derivative
Leonard Thomas
6/9/00
Read Re: Defining the derivative
holdenerj@kenyon.edu
6/9/00
Read Re: Defining the derivative
Michael Livshits
6/9/00
Read Re: Defining the derivative
Michael Livshits
6/9/00
Read Re: Defining the derivative
Leonard Thomas
6/9/00
Read Re: Defining the derivative
Leonard Thomas
6/11/00
Read Re: Defining the derivative
holdenerj@kenyon.edu
6/9/00
Read Re: Defining the derivative
Leonard Thomas
6/10/00
Read Re: Defining the derivative
Michael Livshits
6/11/00
Read Re: Defining the derivative
Leonard Thomas
6/11/00
Read Re: Defining the derivative
Leonard Thomas
6/12/00
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6/18/00
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