$C^1$ is the class of functions who's first derivatives are continuous at all points their domain.
$(0,0)$ is not in the domain of $f(x,y)$
Are there any points in the domain of $f(x,y)$ where the first partials are discontinuous?
I have to determine if is differentiable at all points in its domain and of class
seems that if then its not continuous or differentiable
and if or then one or both partials fail to be continuous or differentiable
so no, its not of class
correct?
$C^1$ is the class of functions who's first derivatives are continuous at all points their domain.
$(0,0)$ is not in the domain of $f(x,y)$
Are there any points in the domain of $f(x,y)$ where the first partials are discontinuous?