Homework Statement
For example with f(x,y) = x2y + xy2
Homework Equations
The Attempt at a Solution
Well I know there is a critical point at (0,0). So I calculated the second derivatives but they are all 0 here so that doesn't help.
I also tried using the Taylor expansion to...
Homework Statement
Prove that if g:R->R is continuous at a then f(x,y)=g(x) is continuous at (a,b) \forall b \in R
Homework Equations
The Attempt at a Solution
So we know
\foralle>0 \existsd>0 s.t. \forallx\inR where |x-a|<d we have |g(x) - g(a)|<e
So I've said as \forallb\inR...