Question: Consider the function f(z,y) = zy? + z?y. * When x =1 = y, the tangent plane has equation C]: 4. The rate of change

Consider the function f(z,y) = zy? + z?y. * When x =1 = y, the tangent plane has equation C]: 4. The rate of change of f(z,) at the point (1,1) in the direction (1, 1) is D e The maximum rate of change of f(a:, y) at the point (1, 1) is D and occurs in the direction (C], D) (ensure the answer you enter is a unit vector)

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