Consider the function f x x a Compute the derivatives f 4 f 4 and f 4 You do not need to simplify your answer completely b Find the Taylor polynomial Po x P x P x and P3 x for f x centered at x 4 c Create a graph showing both f x and P x Then create a second separate graph showing both f x and P3 x Write a sentence or two describing the ways that P x is and is not a good approximation of f x and discuss the ways P3 x is or is not a better approximation of f x d Approximate f 7 using the 3th order Taylor polynomial of f x centered at 4