Can someone provide step-by-step solutions to the problem? I provided the correct answer from my textbook so that you can check your answer. Thanks in advance!

For each of the functions in Exercises 17 ? 36, determine f ?(x) and f ??(x).Then complete a summary table like those in Examples 3 and 4.Use this table to sketch the graph of the function.(If available, use a graphing utility or calculator to obtain a suitable window and confirm the accuracy of your calculations.)

21. f(x) =x'+3x2 -621. (-, -2), (0, + ); (x) >0, Increasing; (-2, 0); /(x) 0, Concave up; 1=-1: (-1)=0; POI