Let [math].

Determine all critical values of [math]. If there is more than one, enter the values as a comma-separated list.
Critical value(s) =

Construct a first derivative sign chart for [math] and thus determine all intervals on which [math] is increasing or decreasing. If there is more than one, enter the intervals as a comma-separated list. Use interval notation: for example, (-17,20) is the interval [math], and (-inf, 40) is the interval [math].
Interval(s) where [math] is increasing:
Interval(s) where [math] is decreasing:

Does [math] have a global maximum? If so, enter its value. If not, enter DNE.
Global maximum =

Determine the following limits.
[math]
[math]

Explain why [math] for every value of [math].

Does [math] have a global minimum? If so, enter its value. If not, enter DNE.
Global minimum =