Use a graph or level curves or both to find the local maximumand minimum values and saddle points of the function. Then usecalculus to find these values precisely. (Enter your answers as acomma-separated list. If an answer does not exist, enter DNE.)
f(x, y) =5xye?x2 ?y2
localmaximum value(s) | | | |
localminimum value(s) | | | |
saddlepoint(s) | (x, y,f) | = | (0,0,0) |