- #1
davidp92
- 12
- 0
Homework Statement
So the example says fx(0,0)=0 and fy(0,0)=0 (the partial derivatives).
When I try it I'm getting functions that are not defined at (0,0):
f(x,y)=xy/(x[itex]^{}[/itex]+y[itex]^{}[/itex])
so for example,
fx=[x(x^2+y^2)-2y(xy)]/(x^2+y^2)^2
fx=(x^3+xy^2-2xy^2)/(x^2+y^2)^2
fx=x^3-xy^2/(x^2+y^2)^2
Which I keep getting fx(0,0) being undefined. What am I doing wrong?