Local maximum and minimum and saddle points
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Find the local maximum and minimum values and the saddle points of the functions.
1.)f(x,y)= xy(1-x-y)
2.)f(x,y)= (x^2y^2 - 8x + y)/(xy)
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This provides two examples of finding local maximum and minimum and saddle points.
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Find the local maximum and minimum values and the saddle points of the functions.
We need 2nd order derivative test.
Hessian = , and D=
If D is negative, we have a saddle point.
If D is positive, then if > 0, we have a local minimum. If <0, then we have local maximum.
Every other ...
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