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Math Help - Implicit Differentiation

  1. #1
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    Implicit Differentiation

    Find dy/dx by implicit differentiation. Well I've gotten the right answers on several of the problems, but for this problem my answer seems way off. I think it's because I'm messing up the chain rule somehow.

    x^3-xy+y^2 = 4
    3x^2-[(x)(dy/dx)+(1)(y)]+2y = 0
    3x^2-[(x)(dy/dx)]-y+2y = 0
    (x)(dy/dx) = -3x^2-y
    dy/dx = (-3x^2-y) / (x)

    The answer I'm suppose to arrive at is (y-3x^2) / (2y-x).
    My answer has a fairly similiar numerator but the denominator is way off.

    Any help is appreciated.
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  2. #2
    MHF Contributor Calculus26's Avatar
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    Problem starts here
    3x^2-[(x)(dy/dx)+(1)(y)]+2ydy/dx = 0
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