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3. (12pts) Given the function f (x, y ) = 3x2 -5x3y3 + 7y2x4. a. Find the directional derivative of the function f at the

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3. (12pts) Given the function f (x, y ) = 3x2 -5x3y3 + 7y2x4. a. Find the directional derivative of the function f at the point P(1, 1) 3 in the direction of vector u = 4 5 b. Find the direction of maximum rate of change of f at the point P(1, 1 ) . c. What is the maximum rate of change

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