Find the local maximum and minimum values and saddle point$($s$)$ of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. $($Enter your answers as comma$-$separated lists. If an answer does not exist, enter DNE.$)$

$f(x,y)=8e^{x}cos(y)$

local maximum value$($s$)$

local minimum value$($s$)$

saddle point$($s$)$

$(x,y)=$

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