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Problem 4 (25 pts.) Consider the function f(x, y) = xy y +2. (i) (5 pts) Find the gradient of f (ii) (10 pts)

Problem 4 (25 pts.) Consider the function f(x, y) = xy y +2. (i) (5 pts) Find the gradient of f (ii) (10 pts) Find the directional derivative of f at the point (1,2) in the direction of the vector (-2, 1). (iii) (10 pts) Explain why the direction of steepest ascent is in the direction of the gradient.

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