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Homework Help: Messy partial differentials with chain rule.

  1. Nov 1, 2007 #1
    1. The problem statement, all variables and given/known data
    the problem asks: Find [tex]\delta[/tex]f/[tex]\delta/[/tex]x and [tex]\delta[/tex]f/[tex]\delta[/tex]y at x=1 and y=2 if z=f(x,y) is defined implicitly by 2x[tex]^{}2[/tex]y/z + 3z/xy - xy[tex]\sqrt{}z[/tex] = 3. Note that (1,2,4) is a point on the surface.

    2. Relevant equations
    Im not really sure how to approach this one.

    3. The attempt at a solution

    i started off by saying that [tex]\delta[/tex]f/[tex]\delta/[/tex]x is equal to [tex]\delta/[/tex]z/[tex]\delta/[/tex]x and i went through and found the partial derivatives of the above equation and it turned out really messy, any help would be greatly appreciated.
  2. jcsd
  3. Nov 1, 2007 #2


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