1. 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 theimportant aspects of the function. (Enter your answers as acomma-separated list. If an answer does not exist, enter DNE.)
f(x, y) =x3 + y3 ?3x2 ? 6y2? 9x
2. Find the local maximum and minimum valuesand saddle point(s) of the function. If you have three-dimensionalgraphing software, graph the function with a domain and viewpointthat reveal all the important aspects of the function. (Enter youranswers as a comma-separated list. If an answer does not exist,enter DNE.)
f(x, y) =3x3 ? 9x +9xy2
3. Find the local maximum and minimum values andsaddle point(s) of the function. If you have three-dimensionalgraphing software, graph the function with a domain and viewpointthat reveal all the important aspects of the function. (Enter youranswers as a comma-separated list. If an answer does not exist,enter DNE.)
f?(x, y) = xy ? 3x ? 3y ? x2 ? y2
