Find the local maximum and minimum values and saddle point(s) ofthe function. If you have three-dimensional graphing software,graph the function with a domain and viewpoint that reveal all theimportant aspects of the function. (Enter your answers as acomma-separated list. If an answer does not exist, enter DNE.)
f(x, y) = x^3 + y^3 ? 3x^2 ? 9y^2 ? 9x
local maximum value(s):
local minimum value(s):
saddle point(s) (x, y, f) =