Since this is not my area of expertise, I searched Google under the key words "'derivative' 'difference quotient' compare" to get these possible sources:
http://en.wikipedia.org/wiki/Derivative
http://en.wikipedia.org/wiki/Difference_quotient
(Broken Link Removed)
http://answers.yahoo.com/question/index?qid=20080215151012AAZ3cVt
In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/.
I hope this helps. Thanks for asking.
How are the derivative and the difference quotient different, and how are they alike?
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