This is calculus question if you answer the question with the steps that would be appreciate

10. [-/5 Points] DETAILS LARCALCET8 4.3.027. Consider the following function. Use a graphing utility to confirm your answers for parts (a) through (c). (If an answer does not exist, enter DNE.) f(x ) = -8x3 + 24x+ 9 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) X = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing (c) Apply the First Derivative Test to identify all relative extrema. relative maximum ( x, y) = relative minimum ( x, y ) = Need Help