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) = xy − 2x − 2y − x2 − y2
Clearly from the figure we can see maximum value exist and is equal to 4.
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