Question 6. Consider the function f: R2 R determined by f(x)=x | 12 24 2 3 +2. -> (a) Find the gradient and Hessian of f at the point (1, 1). (b) Find the directional derivative of f at (1, 1) in the direction of the maximal rate of increase. (c) Find a point that satisfies the first order necessary condition. Does the point also satisfy the second order necessary condition for a minimum? [15 marks]

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A: Topic = Functions

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