Problems Maxima And Minima Of Function Of Two Variables

Problems Maxima And Minima of Function of Two Variables-1:

3. Find the extreme value of the functions x3 y3 - 3xy.

Solutions: Let

Elimminating y we get;

The critical point are (0,0)  and (1,1)

Hence there is neither a maximum nor minimum at (0,0)

Also minimum

4. Examine the function f (x,y) for extreme.

Solutions: Let