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Math Help - Complex Second derivative

  1. #1
    Senior Member sakonpure6's Avatar
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    Complex Second derivative

    x^3 + y^3 = 6xy

    I have tried countless times to get to the proposed answer of \frac{16xy}{(2x-y^2)^3} but my numerator never simplifies to 16xy. So if some one can show me how to do this I would really appreciate it.

    Thank you
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  2. #2
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    Re: Complex Second derivative

    Quote Originally Posted by sakonpure6 View Post
    x^3 + y^3 = 6xy
    We will assume that $y=f(x)$.
    $3x^2+3y^2y'=6y+6xy'\\6x+6y(y')^2+3y^2y''=6y''+6y' +6xy''$
    Last edited by Plato; May 15th 2014 at 04:32 PM.
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    Re: Complex Second derivative

    Complex Second derivative-clipboard02.jpg
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