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!

In Exercises 38 ? 49, determine the intervals on which each function is a. concave upward and b. concave downward; then c. locate all points of inflection.Use the information gathered to sketch the function.Confirm the details with a graphing calculator.

41. f(x) =x'+6x2-1041. a. (-2, too) b. ( c. (-2, 6)