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6. (12 points) Let f (x, y) = x2 + 2xy + 2 (a) (6 points) Find the derivative of f at the point (5,

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6. (12 points) Let f (x, y) = x2 + 2xy + 2 (a) (6 points) Find the derivative of f at the point (5, 4) in the direction the function increases most rapidly. Answer: (b) (6 points) Find all unit vectors that in a direction for which the corresponding directional derivative of f at (5, 4) is zero

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