Question: (4) (2 point) In class, we showed Vf(x) is the direction in which a differentiable f increases the most. (a) What is the direction

(4) (2 point) In class, we showed Vf(x) is the direction in

(4) (2 point) In class, we showed Vf(x) is the direction in which a differentiable f increases the most. (a) What is the direction that f decreases the most? (Use similar analysis we did in class to justify your answer). (b) Suppose you are walking on a surface with elevation modeled by Find a direction x + y 20 2 = 2+ unit vector in R) from the point (2, 2) in which the rate of increase is half that of the maximum direction.

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