\"\"

\

The function is \"\".

\

Apply first derivative with respect to \"\".

\

\"\"

\

\"\"

\

\"\"

\

Apply second derivative with respect to \"\".

\

\"\"

\

\"\"

\

\"\"

\

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

\

\"\"

\

Simplify the expression.

\

\"\"

\

\"\"

\

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 \"\".