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3. [3 marks] Let the real-valued function f (x, y) of two variables be defined by f(x, y) = 8y3 + 12x2 - 24xy. (a)

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3. [3 marks] Let the real-valued function f (x, y) of two variables be defined by f(x, y) = 8y3 + 12x2 - 24xy. (a) Calculate the first partial derivatives of f. (b) Calculate the second partial derivatives of f. (c) Locate the stationary points of f and classify them

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