Step 1:
\Sum rule of derivatives : .
Step 2:
\To find the critical numbers of , equate
to zero.
for .
for .
not in the region.
Critical points in the given interval are .
So the test intervals are ,
and
Step 3:
\Intervals | \Test Value | \sign of ![]() | \
conclusion | \
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increasing | \
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decreasing | \
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increasing | \
Extremes :
\If on an open interval extending left from
.
If on an open interval extending left from
on an open interval extending right from
Solution :
\Maximum =
Minimum=
Intervals | \Test Value | \sign of ![]() | \
conclusion | \
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increasing | \
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decreasing | \
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increasing | \
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