The function f (x,y)= x ² + y ² has a single global minimum and is relatively easy to minimize.

Question

Quizplus · Accepted Answer

The function is a simple linear combination of two terms, each consisting of a product of variables and constants. Both terms are non-negative and the first term becomes zero only when x=0 and the second term becomes zero only when y=0. Therefore, the global minimum occurs at (0,0) and it is easy to minimize the function by setting x=y=0.

The Function F (X,y)= X 2 + Y 2 Has

The Function F (X,y)= X ² + Y ² Has