(a)
\The function is
over
.
Apply derivative with respect to
.




(b)
\Graph :
\Graph the function
and its derivative
.
(c)
\The function is
.
Find the critical numbers by applying derivative .
\
Equate it to zero.
\
The critical number is
.
(d)
\The critical number is
.
Consider the test intervals to find the interval of increasing and decreasing in
.
| Interval | \![]() | \
![]() | \
| Test value | \![]() | \
![]() | \
Sign of ![]() | \
\
| \
\
| \
| Conclusion | \Increasing | \Increasing | \
\
(a) The differentiation of the function is
.
(b)
\
(c) The critical number is
.
(d)
positive in the interval
.