Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or

Question

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

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