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.)
1) f(x, y)
= x3 + y3
− 3x2 −
3y2 − 9x
a) local minimum value
b) local maximum value
c) saddle point (x,y,f)
2) f (x, y) = x2 + xy +
y2 + 8y
a) local minimum value
b) local maximum value
c) saddle point (x,y,f)