I am stuck on this problem I got from my professor today. Any help would be great!! (Please see the attachment)

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- Mar 17th 2010, 05:51 PMstevenrandHelp with big extrema problem
I am stuck on this problem I got from my professor today. Any help would be great!! (Please see the attachment)

- Mar 17th 2010, 06:50 PMskeeter
(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.