I am stuck on this problem I got from my professor today. Any help would be great!! (Please see the attachment)
(a) you should know that extrema occur at critical values of x where f'(x) changes sign.
(b) you have more than enough info to sketch the graph.
(c) use the FTC to find g'(x), then look for x-values where g'(x) changes sign ... (+) to (-) , a relative max ... (-) to (+) , a relative min.
(d) points of inflection occur where g''(x) changes sign.