- #1
Barioth
- 49
- 0
Hi,
I'm having trouble évaluation the differentiability at (0,0) of the function
\(\displaystyle f(x,y)=\frac{x^3}{x^2+y^2}\) for (x,y) not nul, and \(\displaystyle f(x,y)=0\) if (x,y)=0
I know f is differentiable if (x,y) isn't nul since the partial derivative are continuous, but I don't know how to evaluate it at (0,0)
Thanks for passing by
I'm having trouble évaluation the differentiability at (0,0) of the function
\(\displaystyle f(x,y)=\frac{x^3}{x^2+y^2}\) for (x,y) not nul, and \(\displaystyle f(x,y)=0\) if (x,y)=0
I know f is differentiable if (x,y) isn't nul since the partial derivative are continuous, but I don't know how to evaluate it at (0,0)
Thanks for passing by