derivative of (x^2+1) / (x-2)

i know it should be simple...but for some reason i can't rationalize the denomintor. can someone show me how to do this? (preferably using f(x+h) - f(x) / h)

thanks in advance

no square roots, so no rationalization.

perhaps you may show what have you done?

Quote:

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Originally Posted by Krizalid

no square roots, so no rationalization.

perhaps you may show what have you done?

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i've done the ((x+h)^2 +1) / (x+h) - 2) - ((x^2+1)/ (x-2)) all over h

of course the x^2 cancel out and the 1's cancel out and give you something like: ((2xh + h^2) / (x+h) - 2) - ((1)/(x-2) all over h

and instead of rationalizing the denomintor, i meant finding the common denominator. my bad

i figured it out. it's:

x^2 - 4x - 1
___________

(x-2)^2