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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Substitute in
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The relative extrema point is .
Determine the relative extrema, using second derivative test.
\Apply second derivative with respect to .
Point | \![]() | \
Sign of ![]() | \
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Conclusion | \Neither | \
From the second derivative test, is neither maximum nor minimum.
Graph the function .
But graphically, is relative minimum.
The relative minimum at .