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

h(x) = 5x3 − 3x5

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

(−1,0)∪(0,1)



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

(−[infinity],−1)∪(1,[infinity])



(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 points.

(x, y) =
leftparen1.gif
rightparen1.gif(smallest x-value)
(x, y) =
leftparen1.gif
rightparen1.gif
(x, y) =
leftparen1.gif
​

rightparen1.gif(largest x-value)


Find the interval where the graph is concave upward. (Enter your answer using interval notation.)