Find the critical points and the intervals on which the function f(x) = x* – 9x2, (x > 0) is increasing or decreasing. Use the First Derivative Test to determine whether the critical point is a local minimum or maximum (or neither). Find the x-coordinates of the critical points that correspond to a local minimum. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) x = Find the x-coordinates of the critical points that correspond to a local maximum. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) X = Find the intervals over which the function is increasing and decreasing. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol o for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "I" or "]" depending on whether the interval is open or closed. Enter Ø if interval is empty.) the function is increasing on the function is decreasing on