Definition of Differentiablility/Continuity f:R^2-->R
Good afternoon,
On a test I was given the question:
Define f:R^2-->R by f(0,0)=0 and f(x,y)=x^3/(x^2+y^2)
(1) Do the partial derivatives at x and y exist at 0? Which I answered yes to, and showed that they equal 1 and 0, respectively.
(2)...