Consider the function f(x) and its derivatives: 1 x2 2x(x2 3) \"mm and W): (x2+1)3 (a) [2 points] Find the critical numbers of f(x) and show your work to justify. (b) [2 points] Find the open interval(s) where f is decreasing and the open interval(s) where f is increasing. Show your work to justify your answer. (0) [2 points] Find the xcoordinate(s) of all local minima of f, and all local maxima of f. Show your work to justify. (d) [4 points] Find the open intervals where f is concave up and the open intervals where f is concave down. Show your work to justify. (e) [2 points] Find the x coordinates of all inflection point(s) off, and show your work to justify