Find the intervals on which p is increasing and decreasing.p(z)=z cosz - 2 cos z - 2z sin z on ( ?/2, 5?/2)Select the correct

Find the intervals on which p is increasing and decreasing.p(z)=z² cosz - 2 cos z - 2z sin z on ( ?/2, 5?/2)Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.A. The function p is increasing on the open interval(s) and decreasing on the open interval(s).(Simplify your answer. Type an exact answer, using it as needed. Type your answer in interval notation. Use a comma to separate answers needed.)B. The function p is decreasing on the open interval(s). The function p is never increasing.(Simplify your answer. Type an exact answer, usingC. The function p is increasing on the open interval(s)(Simplify your answer. Type an exact answer, usingD. The function p is never increasing or decreasing.