The function is
.
Apply derivative on each side with respect to t .
\
Quotient rule of derivatives :
.

Power rule of derivatives:
.

To find the critical numbers of
, equate
to zero.


is in 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
.
Left end point
is maximum point over the interval
.
Right end point
is maximum point over the interval
.
Minimum point is
.
Maximum point are
and
.