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Math Help - implicite differentiation

  1. #1
    Junior Member
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    implicite differentiation

    sooo
    i make it a quadratic, differentiate, and i know i did all this good, but i just want to double check, first ill write out what i did.
    so i got

    3x^2 + 3y^2y' -6y -6xy'
    plug in 3's to get y' = -1
    then do i put that into the equatoin of a line
    using y' as the gradient?
    so it would be y = -x + c
    plug in 3's and get
    y = -x + 6
    for the equation of the tangent line?
    Last edited by Daniiel; May 7th 2010 at 06:45 AM.
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  2. #2
    MHF Contributor
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    West Malaysia
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    Quote Originally Posted by Daniiel View Post
    Hey,
    I have the questions
    "Find the equation to the tangent line of the curve"
    x^3 + y^3 = 6xy at point (3, 3)

    sooo
    i make it a quadratic, differentiate, and i know i did all this good, but i just want to double check, first ill write out what i did.
    so i got

    3x^2 + 3y^2y' -6y -6xy'
    plug in 3's to get y' = -1
    then do i put that into the equatoin of a line
    using y' as the gradient?
    so it would be y = -x + c
    plug in 3's and get
    y = -x + 6
    for the equation of the tangent line?
    yes that is correct .
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