Calculus 10.15 Representing Functions as Power Series CA #1 Name: 1. What is the coefficient of x5 in the Taylor series for the function f(x) = ex sin x about x = 0? If the function f is defined by f (x) =x 2 'n! , then f'(x) = ? Write the first four nonzero terms and the general term of the Taylor series about x = 0. Let f be the function defined by f(x) = 3x. Find the Maclaurin series for the derivative f'. Write the first four nonzero terms and the general term