Answer a-d please

X f(x) F'(x) f" (x) f" (x) 5 23 8 -2 UN 6. Let /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 fabout z = 0 and use it to approximate f(0.2) B 0 / 10000 Word Limit (b) Let g be a function such that g(x) = f(z3). Write the fifth-degree Taylor polynomial for g', the derivative of g, about a = 0. B IUXXSCREEN 0 / 10000 Word Limit (c) Write the third-degree Taylor polynomial for fabout z = 1 B 0 / 10000 Word Limit (d) It is known that |f )(z)