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) = x3 + y3 − 3x2 − 9y2 − 9x
local maximum value(s) | ???? | ||
local minimum value(s) | ????? | ||
saddle point(s) |
(x, y) =???? |
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