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10. Find the local maximum, local minimum and /or the saddle-point, if any, for the function f(x, y) = x3 +y - 12x - 2y.

10. Find the local maximum, local minimum and /or the saddle-point, if any, for the function f(x, y) = x3 +y - 12x - 2y. You must show all your work when you find the critical points and you classify them. (6 points)

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