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Math Help - Trouble taking a derivative

  1. #1
    Junior Member
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    Trouble taking a derivative

    I have to take the derivative of \frac{y - 1}{y^2 - y + 1}:



    The solution is \frac{y^2 - 2y}{(y^2 - y + 1)^2} but in my work, the answer will have something to the 4th power on the top which will be impossible to cancel out. What have I done wrong?

    Edit: Never mind, I see my mistake
    Last edited by PhizKid; October 17th 2012 at 01:51 PM.
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  2. #2
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    Re: Trouble taking a derivative

    Your differentiation is correct, but you go wrong at the third line.

    (y^{2} -y + 1)^{-2} = \frac{1}{(y^{2} - y + 1)^{2}},

    there shouldn't be any square roots.
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