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Math Help - Equation of the Tangent Line using Differentials

  1. #1
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    Exclamation Equation of the Tangent Line using Differentials

    Find the equation of the tangent line at the point (-1 , -8)

    x2/3-y2/3-5y=37

    I keep getting this as the answer which is wrong: y+1=(1/7)(x+8)

    Can anyone help me solve this equation? Thank you!

    Here is the work I did:
    Last edited by michellederz; February 20th 2013 at 02:21 PM.
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  2. #2
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    Re: Equation of the Tangent Line using Differentials

    Quote Originally Posted by michellederz View Post
    Find the equation of the tangent line at the point (-1 , -8)
    x2/3-y2/3-5y=37

    \tfrac{2}{3}x^{-1/3}-\tfrac{2}{3}y^{-1/3}y'-5y'=0

    or y'=\frac{2x^{-1/3}}{2y^{-1/3}+15}
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