Consider the function below. f(x) = 5x tan x, -1/2

Consider the function below. f(x) = 5x tan x, (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Find the horizontal asymptote(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) (b) Find the interval(s) where the function is increasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Find the interval(s) where the function is decreasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) (c) Find the local maximum and minimum values. (If an answer does not exist, enter DNE.) local maximum value local minimum value (d) Find the interval(s) where the function is concave up. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Find the interval(s) where the function is concave down. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Find the inflection point. (If an answer does not exist, enter DNE.)