Complete the following steps to obtain the Taylor polynomial of degree 4 with base point at a = 1 for the function f(z) = 1:1(1123 ). a) Compute the derivatives up to order four of f. f'lrc) : M o f"(m) : 3/x"2 o f(3)(:c) : 6/xA3 o @- f(4)(:c) : 18/x"4 o @- b) Evaluate f and the derivatives obtained in (a) at a = 1. f(1) = 0 9 @- f'(1)= 3 0 f"(1)= -3 o @- f(3)(1) = e o f(4)(1) = -18 o c) Find the Taylor polynomial of degree four T4 of f at the base point a : 1. TN) 2 @I