In: Advanced 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) = 2x3 + xy2 + 5x2 + y2
Local Maximum Value(s) = 125/27
Local Minimum Value(s) = ?
Saddle Point(s) (x,y,f) = ?
.
2. Find the indicated partial derivative.
f(x, y) = sqrt 2x + 5y ; fy(5, 3)
fy(5, 3) =