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 − 48xy + 64y3
local maximum value(s) | |||
local minimum value(s) | |||
saddle point(s) | (x, y, f) | = |
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