Let .
Determine all critical values of . If there is more than one, enter the
values as a comma-separated list.
Critical value(s) =
Construct a first derivative sign chart for and thus determine
all intervals on which 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 , and (-inf, 40) is the interval
.
Interval(s) where is increasing:
Interval(s) where is decreasing:
Does have a global maximum? If so, enter its value. If not, enter DNE.
Global maximum =
Determine the following limits.
Explain why for every value of
.
Does have a global minimum? If so, enter its value. If not, enter DNE.
Global minimum =
In order to get credit for this problem all answers must be correct.