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Math Help - Implicit dy/dx

  1. #1
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    Implicit dy/dx

    Hi,
    I have solved the following can you tell me if i am correct?

    Find dy/dx for the implicit expression

    (x^2)y + 3x(y^2) + 6(x^3)=5

    differentiating both sides;

    (x^2)(dy/dx) + 2xy + (6xy)(dy/dx)+ 3y^2 + 18x^2=0

    (dy/dx) [x^2 + 6xy] = -2xy - 3y^2 - 18x^2

    dy/dx= [-2xy - 3y^2 - 18x^2]/[x^2 + 6xy]

    thanks
    John
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: Implicit dy/dx

    I think it's correct.
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  3. #3
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    Re: Implicit dy/dx

    thanks Siron
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