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Topic:  mathematics 
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Subject:  RE: mathematics 
Author:  Mathman 
Date:  Sep 26 2004 
> Prove Quotient rule of deffertiation
"Differentiation".
You can use the usually initial method of lim(delta(x) >0) definition of the
limiting tangent ratio:
Us Dx notation for "delta(x)".
h(x) = f(x)/g(x)
h'(x) = lim[Dx>0](h(x+Dx)  h(x))/Dx
Substitute f(x)/g(x), or f(x+Dx)/g(x+Dx) appropriately, then slosh around to get
each part in terms of the limit, and it falls into place. There is a "trick" of
adding then subtracting f(x)*g(x) in the numerator for simplification purposes.
I'd post an image here if binaries were allowed; any ASCII text effort would be
cumbersome to say the least. In any event, any decent calculus text should have
the derivation.
Regards,
David.
 
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