Question: 7. Consider the function (x + 2xy xy + 3y x + y 0 if (x, y) = (0,0) if (x, y) = (0,0)

7. Consider the function (x + 2xy xy + 3y x + y 0 if (x, y) = (0,0) if (x, y) = (0,0) a) Compute the partial derivatives fx (x, y) and fy(x, y) for (x, y) = (0,0). b) Compute the partial derivatives fx (0, 0) and fy (0, 0). f(x, y) =

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