\"\"

\

The function is \"\".

\

Differentiate on each side  with respect to \"\".

\

\"\"

\

\"\".

\

The derivative function is \"\".

\

Differentiate \"\" on each side with respect to \"\".

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

Find the inflection point by equating \"\".

\

\"\"

\

\"\"

\

\"\"

\

Substitute \"\" in the function.

\

\"\"

\

Inflection point  \"\".

\

\"\"

\

The inflection point is \"\".

\

The intervals are \"\", and \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\

Interval

\
Test ValueSign of \"\"Concavity
\"\" \

\"\"

\
\

 \"\"

\
Down
\"\" \

\"\"

\
\

\"\"

\
Up
\

The graph is concave down in the interval \"\" and concave up in the interval \"\".

\

\"\"

\

Inflection point is \"\".

\

The graph is concave up in the interval \"\".

\

The graph is concave down in the interval \"\".