Messy partial differentials with chain rule.

[phewy13]

Homework Statement

the problem asks: Find \deltaf/\delta/x and \deltaf/\deltay at x=1 and y=2 if z=f(x,y) is defined implicitly by 2x^{}2y/z + 3z/xy - xy\sqrt{}z = 3. Note that (1,2,4) is a point on the surface.

Homework Equations

Im not really sure how to approach this one.

The Attempt at a Solution

i started off by saying that \deltaf/\delta/x is equal to \delta/z/\delta/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.

 

[CompuChip]

Let's stick to one thread, ok?