Question: Use the first derivative and the second derivative test to determine where each function is increasing, decreasing, concave up, and concave down.yequals=xcubed3minus22x squaredx2plus+nothingxplus+33,xis an element

Use the first derivative and the second derivative test to determine where each function is increasing, decreasing, concave up, and concave down.yequals=xcubed3minus22x squaredx2plus+nothingxplus+33,xis an element of in set of real numbers RQuestion content area bottomPart 1Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A.The function is increasing on the interval(s)left parenthesis negative infinity comma one third right parenthesis comma left parenthesis 1 comma infinity right parenthesis,13,(1,).(Type your answer in interval notation. Use a comma to separate answers as needed. Type an integer or a simplified fraction.)Your answer is not correct.B.The function is not increasing on any interval.Part 2Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A.The function is decreasing on the interval(s)enter your response here.(Type your answer in interval notation. Use a comma to separate answers as needed. Type an integer or a simplified fraction.)B.The function is not decreasing on any interval.

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