Consider two functions f(x, y) = (x - y) + xy f2(x, y) = (1-(y - 4)) +35((x+6) - (y-4)) (a) Run gradient descent on fi with starting point (x, y) = (2,3), T = 20 steps and y = .05. Report the function value at the end of each step (b) Run gradient descent on f2 with starting point (x, y) = = .0015. Report the function value at the end of each step (0,2), T = 100 steps and (c) Run any variant of gradient descent you want for f. Try to get the smallest function value after T = 20 steps (d) Run any variant of gradient descent you want for f2. Try to get the smallest function value after T = 100 steps [+5 points] If any students do significantly better than the rest of the class on f2 in part (b), we will award up to 5 extra credit points. To obtain extra points, a detailed description of how the gradient descent is performed is required.