SOLUTION: Let f(x)=(7/(x-4). Then according to the definition of derivative, f'(x)= the limit as t approaches x of BLANK 1. The expression inside the limit simplifies to a simple fraction w

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Question 1057802: Let f(x)=(7/(x-4). Then according to the definition of derivative, f'(x)= the limit as t approaches x of BLANK 1.
The expression inside the limit simplifies to a simple fraction with
numerator= BLANK 2, and denominator= Blank 3.
Please find BLANK 1,2, and 3.
I am totally stuck on this one! :-( Could someone please help me?
Yours,
Juicy

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
The definition of the derivative is,
in the limit as dx goes to zero.
So substituting,


So the numerator is
and the denominator is .

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