\"\"

\

The function is \"\".

\

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

\

\"\"

\

\"\"

\

\"\"

\

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

\

\"\"

\

\"\"

\

\"\"

\

Determine the values of \"\" at which \"\" or \"\" does not exist.

\

\"\"

\

\"\"

\

\"\"

\

The values of \"\" is \"\".

\

\"\"

\

Test for concavity in the intervals \"\" and \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
IntervalsTest value \

Sign of \"\"

\ 		Conclusion
\"\"\"\"\"\"Concave upward
\"\" \

\"\"

\ 		\"\"Concave downward
\

\"\"

\

The function is concave upward in the interval \"\".

\

The function is concave downward in the interval \"\".