Let f(x) = In(1 + 36x2). (a) (5 Marks) Find the Taylor series for f centered at a = 0. (b) (5 Marks) Show that the interval of convergence for this Taylor series is [-, ]. (c) (5 Marks) Find f'(x) and the Taylor series for f' (x) centered at a = 0. What is the interval of convergence for the Taylor series for f