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(Solved): I'm not sure what I am doing wrong. Please help!  Use the level curves in the figure to predict ...



I'm not sure what I am doing wrong. Please help! 

Use the level curves in the figure to predict the location of the critical points of f and whether f has a saddle point or a local maximum or minimum at each critical point. Then use the Second Derivatives Test to confirm your predictions. (Order your answers by their ordered pairs, from smallest to largest x.)

f(x, y) = 4 + x3 + y3 ? 3xy 

(x,y) = (0,0) Incorrect: Your answer is incorrect. saddle point Correct: Your answer is correct.

(x, y) = (1,1) Incorrect: Your answer is incorrect. local minimum Correct: Your answer is correct.

f(x, y) = 4 + x³ + y³ - 3xy
(x, y) = (0,0
(x, y) = ( 1,1
X
?/?
y
3.7
3.2
4
saddle point
local minimum
3.7.
4.2
3.2-
5
1

f(x, y) = 4 + x³ + y³ - 3xy (x, y) = (0,0 (x, y) = ( 1,1 X ?/? y 3.7 3.2 4 saddle point local minimum 3.7. 4.2 3.2- 5 1


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