In this problem you will derive the second order Taylor polynomial structure starting from the first order Taylor polynomial structure derived in lecture. The first order Taylor polynomial expanded about the pointa is given by the follow- ing: f(x) = f(a) + fi(a)(x _a) + fi (s)(x _ s)ds Derive the second order Taylor polynomial by applying the integration by parts formula to the integral above. (a) Choose U = fu(s), and d = (x _ s). Compute the remaining components needed for integration by parts. Integrate cleverly to make it as clean as possible. (b) Simplify the results of your integration by parts procedure. Write out the result- ing simplified second order Taylor polynomial. Circle the part of the formula which would be used as an approximation, and Underline the part of the for- mula which would be considered error