Use a graph or level curves or both to find the local maximum and minimum values and saddle points of the function. Then use calculus to find these values precisely. $($Enter

your answers as a comma$-$separated list. If an answer does not exist, enter DNE.$)$

f$($x$,$y$)=5($x$-$y$)$e$^(-$x$^(2)-$y$^(2))$

local maximum value$($s$)$

local minimum value$($s$)$

saddle point$($s$)$

$($x$,$y$,$f$)=$