Problem 1 (8 points) Consider the problem of nnimizing the objective function f(x) : (x5 +1:2 1}2 +(x1 Hag11)2 (a) (1 point) Derive a symbolic formula for computing the gradient of f(x) . 2 (b) (2 points) Is it = [3 a minimizer of f(x) 1' To earn credit, give sufcient reasons to explain your claim. 1 1 iterate x1 . In the calculations, use 6:0 2 0.05 as the step size. To earn credit, include iteration details (1:) [4 points) With initial point x0 =[ ], carry out one gradient descent (GD) iteration to obtain and provide numerical results with accuracy up to 2 decimal places. (11) (1 point) Is x1 considerably better than x? Explain why