$[-/3$ Points$]$

SCALCET$814\mathrm{.}7\mathrm{.}011.$

Find the local maximum and minimum values and saddle point$($s$)$ of the function. If you have three$-$dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. $($Enter your answers as a comma$-$separated list. If an answer does not exist, enter DNE.$)$

$f(x,y)=x^3-3x+3x{y}^2$

local maximum value$($s$)$

local minimum value$($s$)$

saddle point$($s$),(x,y,f)=$

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