Question: Question 10 (2 points) The function f(x, y) = x3 - 3x + y - 3y has a critical point at (1, 1). Knowing that

 Question 10 (2 points) The function f(x, y) = x3 -
3x + y - 3y has a critical point at (1, 1).

Question 10 (2 points) The function f(x, y) = x3 - 3x + y - 3y has a critical point at (1, 1). Knowing that fix(x, y) = 6x, fyy (x, y) = 6y, and fry(x, y) = 0 classify this critical point. The point (1, 1 ) is a local minimum for f (a, y) The point ( 1, 1 ) is a local maximum for f(x, y) There is not enough information provided to answer the question. The point (1, 1) is a saddle point for f ( a, )

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