Consider the function [math]. Compute the derivative of this function.

[math] =

For the following questions, write inf for [math], -inf for [math], and NA (ie. not applicable) if no such answer exists.

a.) [math] is increasing on the region .

b.) [math] is decreasing on the region .

c.) [math] has a local minimum at .

d.) [math] has a local maximum at .

e.) [math] =

f.) [math] is concave up on the region

g.) [math] concave down on the region .

h.) [math] has a point of inflection at .

Note: Many of your answers must be given in interval notation.