Finding the critical point and its nature. With solid attempt!! 1. The problem statement, all variables and given/known data Find all critical points of the function f(x, y) = xy2 - 2xy - 2x2 - 3x +7 and determine their nature. 2. Relevant equations none 3. The attempt at a solution I know that to find the critical points you must set fx = 0 and fy=0 Doing this I get: fx = -4x + y2 - 2y - 3 = 0 and fy = 2xy - 2x = 0 Thus, fx = fy -4x + y2 -2y - 3 = 0 -4x + (y+1)(y-3) = 0 I don't really know how to proceed? Any help would be great.