The function is .
Apply first derivative on each side with respect to .
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Find the relative extrema by equating .
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,
and
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Substitute in
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The relative extrema point is .
Substitute in
.
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The relative extrema point is . \ \
Substitute in
.
.
The relative extrema point is .
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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Conclusion | \Relative minimum | \Relative maximum | \Relative maximum | \
The relative maximum at and
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The relative minimum at .