Question: QUESTION 2 Consider the function f: R2 R determined by -> (x)++6 f(x) =T 1 2 4 8 [ [ 3 ] + 4

QUESTION 2 Consider the function f: R2 R determined by -> (x)++6 f(x) =T 1 2 4 8 [ [ 3 ] + 4 (2.1) Find the gradient and Hessian of f at the point (1, 1). (8) (2.2) Find the directional derivative of f at (1, 1) in the direction of the maximal rate of increase. (8) (2.3) Find a point that satisfies the first order necessary condition. Does the point also satisfy the second order necessary condition for a minimum? (9) [25]

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