The function is ,
.
Find the critical numbers by applying derivative .
\Equate it to zero.
\Therefore the critical numbers are and
.
Test intervals are ,
and
.
Test intervals | \ \
Test value \ | \
\
sign of | \
conclusion | \
![]() | \
![]() | \
\
| \
Increasing | \
![]() | \
![]() | \
\
| \
Decreasing | \
\
| \
![]() | \
\
| \
Increasing | \
The function is increasing on the intervals
and
.
The function is decreasing on the interval
.
The function is increasing on the intervals
and
.
The function is decreasing on the interval
.