Find the critical points of the function and use the First Derivative Test to determine whether the critical point is a local minimum or maximum (or neither). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x) = -5x + 10 ln(2x), (x > 0)
local minimum:
local maximum:
Determine the intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. Enter EMPTY or ∅ for the empty set.)
increasing:
decreasing: