The function is .
Apply first derivative with respect to .
We find the relative extrema by equating .
Now, substitute in
.
Substitute in
.
Substitute in
.
The relative extrema points are ,
and
.
Determine the relative extrema, using second derivative test.
\Apply first derivative with respect to .
Point | \![]() | \
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Sign of ![]() | \
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| \
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| \
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Conclusion | \Relative minimum | \Relative maximum | \Relative maximum | \
So according to second derivative test the function has minimum point at .
The function has maximum point at and
.
The relative minimum at .
The function has maximum point at and
.