(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 | \![]() | \
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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
.