Exercise
Given the function
z=xy+x2−2y2−9y
1. Find its local extremum points and determine their type.
2. Given the domain
x=0,y=0,x−y−8=0
Find the maximum value and the minimum value of the function.
Final Answer
A saddle point
(1,−2,9)
Min and max values
Dmaxz(8,0)=64
Dminz(0,−8)=−56
Solution
Coming soon…