Consider the function . Compute the derivative of this function.


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

a.) is increasing on the region .

b.) is decreasing on the region .

c.) has a local minimum at .

d.) has a local maximum at .

e.) =

f.) is concave up on the region

g.) concave down on the region .

h.) has a point of inflection at .

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

You can earn partial credit on this problem.