Messy partial differentials with chain rule.

[phewy13]

Homework Statement

the problem asks: Find $$\delta$$f/$$\delta/$$x and $$\delta$$f/$$\delta$$y at x=1 and y=2 if z=f(x,y) is defined implicitly by 2x$$^{}2$$y/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 $$\delta$$f/$$\delta/$$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?