In: Math
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 − 3y2 − 9x
| local maximum value(s) | 
 5  | 
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| local minimum value(s) | 
 −31  | 
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| saddle point(s) | 
 (x, y, f) =  |