6. Derivatives of higher order can be very time consuming - especially for functions like f(x) = x3 . e-. Evaluating such derivatives become very manageable/time efficient problems by using the Taylor polynomials/series. (a) Write the 10th degree Taylor polynomial for f(x) = 25 . e-27 centered at x = 0. (b) Evaluate the 8th derivative at x = 0 using your answer from part (a)