\"\"

\

The function is \"\".

\

Apply first derivative on each side with respect to \"\".

\

\"\".

\

\"\"

\

\"\"

\

\"\"

\

Find the relative extrema, by equating \"\".

\

\"\"

\

\"\"

\

\"\".

\

So the critical values are \"\"\"\" and \"\".

\

Substitute \"\" in \"\".

\

\"\"

\

\"\"

\

\"\"

\

\"\".

\

The point is \"\".

\

Substitute \"\" in \"\".

\

\"\"

\

\"\"

\

\"\"

\

\"\".

\

The point is \"\".

\

The relative extrema points are \"\" and \"\".

\

\"\"

\

Using second derivative test, determine the relative extrema.

\

Apply second derivative on each side with respect to \"\".

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
PointSign of \"\"Conclusion
\"\" \

\"\"

\
\

Relative maximum

\
\"\" \

\"\"

\
Relative minimum
\

\"\"

\

The relative maximum is at \"\".

\

The relative minimum is at \"\".