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

f(x) =180x+3x²2x³

(a)Find the interval(s) of increase. (Enter your answer using interval notation.)

Find the interval(s) of decrease. (Enter your answer using interval notation.)

(b)Find the local minimum value(s). (Enter your answers as a comma-separated list.)

Find the local maximum value(s). (Enter your answers as a comma-separated list.)

(c)Find the inflection point.

(x,y) =

Find the interval(s) where the function is concave up. (Enter your answer using interval notation.)

Find the interval(s) where the function is concave down. (Enter your answer using interval notation.)