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

  1. #1
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    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
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  2. #2
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    Krizalid's Avatar
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    no square roots, so no rationalization.

    perhaps you may show what have you done?
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  3. #3
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    Quote Originally Posted by Krizalid View Post
    no square roots, so no rationalization.

    perhaps you may show what have you done?
    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
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  4. #4
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    and instead of rationalizing the denomintor, i meant finding the common denominator. my bad
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  5. #5
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    i figured it out. it's:

    x^2 - 4x - 1
    ___________

    (x-2)^2
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