$\"\"$

\

The function is $\"\"$ .

\

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

\

$\"\"$

\

Apply Product rule in derivatives $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

Find the relative extrema by equating the first derivative to zero.

\

$\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ . Relative extrema at $\"\"$ .

\

$\"\"$

\

Determine the nature of relative extrema, using second derivative test.

\

$\"\"$ .

\

Apply derivative with respect to $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

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

Point

\"\"

Sign of

\"\"

\

\

$\"\"$

\

Conclusion

Relative minimum

\

The relative minimum at $\"\"$ . $\"\"$

\

Find the inflection points by equating the second derivative to zero.

\

$\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

The inflection point is $\"\"$ . $\"\"$

\

Graph:

\

Graph the function $\"\"$ .

\

$\"\"$

\

$\"\"$

\

The relative minimum at $\"\"$ .

\

The inflection point is $\"\"$ .