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. Explain your reasoning. Then use the Second Derivatives Test to confirm your predictions.

f (x, y) = 3x - x³ - 2y³ + y⁴

Transcribed Image Text:

1.5 -2.9 -2.7 -2.5 1.5 1.7. 1.9 -1,5 -0.5