Consider minimizing a convex smooth function of one scalar variable, f). We guess an initial point (0), and take a second order Taylor expansion around (0). f()f(30))+(3-3(0)) ( df where d 1 | B= B(0) = f'( 3 (0)) (hint: take derivative w.r.t. p) d f and d dw B=3() B=3() Show that to minimize the right-hand side, the next value of to guess is: f'(B(0)) 3(1) 3(0) f"(B(0)) 4/3=18() = f'" (B(0) 1 + + 2/7 ( B - 18(01) 2 d5 | dw