Question

: Let f(x,y) = x2 + 3y -3xy and R is the triangular region with vertices (0, 0), (2, 0) and (2, 2). Find the interior and boundary points only at which the absolute extrema of f(x, y) can occur.

Answer 1

extrema occur when \(\large f_x = f_y = 0\)

Answer 2

find the partials, set them equal to 0 and get the critical points