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Math Help - Implicit differentation help

  1. #1
    Junior Member
    Joined
    Feb 2009
    Posts
    38

    Implicit differentation help

    I need help to differentiate

    x ^ 2/5 + y ^ 3/5 = x

    and

    x^2y^-3 = y
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  2. #2
    Member
    Joined
    Sep 2006
    Posts
    77
    1) x^\frac{2}{5}+y^\frac{3}{5}=x
    \frac{\partial}{\partial x} : \frac{2}{5}x^\frac{-3}{5} = 1
    \frac{\partial}{\partial y} : \frac{3}{5}y^\frac{-2}{5} = 0

    2) x^{-6y}=y
    \frac{\partial}{\partial x} : -6yx^{-6y-1} = 0
    \frac{\partial}{\partial y} : -6x^{-6y}\ln{x} = 1
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