Locate and classify all the local extrema of O 1 . local min at (-1, -1), local max at (0, 0) f(x, y) = xty' +3xy - 2. O 2 . local max at (0, 0), saddle point at (-1, -1) O local max at (-1, -1), 3 . saddle point at (0, 0) O local min at (-1, -1), 4 . saddle point at (0, 0) O local min at (0, 0), 5. saddle point at (-1, -1)Which one of the following properties does O 1. saddle point at (2, 2) the function O 2. saddle point at (-2, 2) f(x,y) = x3 + xyl -16x - 8y + 26 have? 3. local max value -6 at (2, 2) 4. local min value -6 at (-2, 2) 5. local max value -6 at (-2, 2) 6. local min value -6 at (2, 2)Locate and classify the local extremum of O 1. saddle at (2, 2) f when O 2. local min at (2, 2) f(x, y) = 2x+ + + 4, (x, y > 0). xy O 3. local min at 2 O 4. local max at (2, 2) O 5. local max at , 2 6. saddle at 2Which of the following most correctly de- O 1. saddle (3, -3), local max (-3, 3) scribes the behaviour of the graph of the func- tion O 2. local max at (3, -3), (-3, 3) f(x, y) = 2(x + y)(xy +9) +4. O 3. local max at (3, 3), (-3, -3) 4. saddle-points at (3, 3), (-3, -3) 5. saddle-points at (3, -3), (-3, 3)Locate and classify the critical point of 1. local minimum at 2 , f(x, y) = In(xy) + 2y? - y - 2xy + 3, 2. saddle-point at (2, for x, y > 0. 3. local minimum at , 2 4. local maximum at (2, - 5. local maximum at ( 2 6. saddle-point at (-, 2)