Question: QUESTION 2Consider the function f:R2R determined byf(x)=xT[12-14]x+xT[23]+2(2.1) Find the gradient and Hessian of f at the point (1,1).3/4(2.2) Find the directional derivative of f at
QUESTION 2Consider the function f:R2R determined byf(x)=xT[12-14]x+xT[23]+2(2.1) Find the gradient and Hessian of f at the point (1,1).3/4(2.2) Find the directional derivative of f at (1,1) in the direction of the maximal rate of increase.(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?
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