Question

Find the extreme values of the function f(x,y)=x²y²
(1 − x− y)​

Answer 1

Step-by-step explanation:

Let f (x, y) be defined on a region R containing the point (a, b). Then

1. f (a, b) is a local maximum value of f if f (a, b) ≥ f (x, y) for all

domain points (x, y) in an open disk centered at (a, b).

2. f (a, b) is a local minimum value of f if f (a, b) ≤ f (x, y) for all

domain points (x, y) in an open disk centered at (a, b).