Suppose that f(x) . (If an answer does not exist, enter DNE.) (a) Find all partition numbers of f'(x). (Enter your answers as a comma-separated list.) X = (b) Find all critical values of f(x). (Enter your answers as a comma-separated list.) X = e8-50x² (c) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.) (d) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.) (e) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comma-separated list.) X = (f) Find the x-value(s) of all local minima of f(x). (Enter your answers as a comma-separated list.) X = (g) Find all partition numbers of f"(x). (Enter your answers as a comma-separated list.)