1. What is the coefficient of x4 in the Taylor Series for the function f(x) = cos x about x = 0? 00 2. If the function f is defined by f(x): = x3n then f'(x) = = ? Write the first four nonzero terms and the general n! term of the Taylor series about x = 0. n=0 3. Let f be the function defined by f(x) = x Find the Maclaurin series for the derivative f'. Write the first four nonzero terms and the general term. sin x 4. Find the third-degree Taylor Polynomial for f(x) = about x = 0. 1-x 5. If f'(x) = cos(x) and f(0) = 0, write the first four nonzero terms and the general term of the Maclaurin series for f(x).