Find the local maximum and minimum values and saddle point$($s$)$ of the function. If y aspects of the function. $($Enter your answers as a comma$-$separated list. If an answer

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

local maximum value$($s$)$

local minimum value$($s$)$

saddle point$($s$)$

$(x,y,f)=$

$$