SOLUTION: If f(x)= 1/x, find (f(x+h)-f(x))/h

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Question 1081211: If f(x)= 1/x, find (f(x+h)-f(x))/h
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
f(x+h)=1/(x+h)
[(1/(x+h))-(1/x)]/h= using common denominator of x(x+h)
x-(x+h)/h(x^2+xh)=-h/h(x^2+xh)
the hs cancel
-1/(x^2+xh)
as h goes to 0, the result goes to -1/x^2.