SOLUTION: Using Limits to Calculate a Derivative Use the definition of the derivative to find f ′(x) if f(x)= 1/(x-1)

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Question 1010464: Using Limits to Calculate a Derivative

Use the definition of the derivative to find f ′(x) if
f(x)= 1/(x-1)

Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
The derivative of
f(x)= 1/(x-1)
is
f(x) = -1/(x-1)^2
You use the limit formula
f'(x) = lim(h--> 0) of (f(x+h) - f(x)) / h
to get there.

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