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Partial differentiation

  1. Apr 16, 2012 #1
    1. The problem statement, all variables and given/known data

    (x,y) = x√(xy)

    The answer says:

    fy=(x√x) / (2√y)
    fxx= (3√y) / (4√x)
    fxy= (3√x) / (4√y)
    fyx =(3√x) / (4√y)
    fyy = -(x√x) / (4y√

    I dont get from the beginning.

    shouldnt fx be equal to (3/2)x^2 * (x^3 * y)^-(3/2)??

    When I do second derivative fxx from fx, it doesnt still make sense...

    please help
  2. jcsd
  3. Apr 16, 2012 #2


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    Why do you think fx be equal to (3/2)x^2 * (x^3 * y)^-(3/2)??
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