\"\"

\

The function is \"\".

\

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

\

\"\"

\

Quotient rule of derivative: \"\".

\

\"\"

\

\"\".

\

\"\"

\

\"\"

\

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

\

\"\"

\

\"\"

\

\"\"

\

\"\".

\

\"\"

\

Find Inflection points.

\

\"\"

\

To find the inflection points of the function  \"\".

\

\"\"

\

\"\"

\

Inflection point occurs at \"\".

\

Subtitute \"\" in the function.

\

\"\"

\

Inflection point is \"\".

\

Test intervals \"\" and \"\".

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

Sign of \"\"

\
Conclusion
\"\"\"\" \

\"\"

\
Concave downward
\"\" \

\"\"

\
\"\"Concave upward
\

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

\

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

\

\"\"

\

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

\

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

\

Inflection point is \"\".