The function is
.
Apply derivative on each side with respect to x .
\

Apply the power rule:
.


To find the critical numbers of
, equate
to zero.

Add 12 to each side .
\
Divide each side by 3 .
\

is out of the region
.
Critical points in the given region is
.
To find the absolute extreme of function in given region
, sketch the function .

Critical point
is minimum point over the interval
.
Right end point
is maximum point over the interval
.
Minimum point is
.
Maximum point is
.