Posted by **Paul** on Thursday, November 13, 2008 at 10:47pm.

Let f(x) = 3(x-1)^3 + 4(x-1)^2 + 2(x-1) -7

(a) Determine f'''(1) without taking any derivatives. Explain your method.

(b) Determine the general Taylor polynomial of f aobut c =2 by computing any for each k, using the formula above for f(x).