Question: Given the function z = f(x, y) = xy+ 2y' + 4xy -2, find the following: (20pts) a) Find all of its critical points. b)

Given the function z = f(x, y) = xy+ 2y' +

Given the function z = f(x, y) = xy+ 2y' + 4xy -2, find the following: (20pts) a) Find all of its critical points. b) Classify each of these critical points as local maxima, local minima or saddle points. c) Sketch the function and label all of the critical points. - 2 - 2

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