NO C f (x) f' ( x ) f" (x) 1"" (x) f(4 ( x ) 4 5 -I 15 23 N/ W N 3 6. Let f be a function having derivatives of all orders for all real numbers. Selected values of f and its first four derivatives are shown in the table above. (a) Write the second-degree Taylor polynomial for f about x = 0 and use it to approximate f (0.2). (b) Let g be a function such that g(x) = f(x3). Write the fifth-degree Taylor polynomial for g', the derivative of g, about x = 0