Consider the equation below. (If an answer does not exist, enter DNE.)

f(x) =x⁸ln(x)

(a) Find the interval on whichfis increasing. (Enter your answer using interval notation.) Find the interval on whichfis decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values off.

local minimum value
local maximum value

(c) Find the inflection point.

(x,y) =

Find the interval on whichfis concave up. (Enter your answer using interval notation.) Find the interval on whichfis concave down. (Enter your answer using interval notation.)