The function is .
Apply first derivative with respect to .
Find the relative extrema, by equating .
Apply zero product property
\ and
and
Hence, the critical values are and
.
Substitute in
.
Substitute in
.
The relative extrema points are and
.
Determine the relative extrema, using second derivative test.
\Apply second derivative with respect to .
.
Point | \![]() | \
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Sign of ![]() | \
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| \
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Conclusion | \Relative maximum | \Relative minimum | \
The relative maximum at .
The relative minimum at .
The relative maximum at .
The relative minimum at .