$\"\"$

The function is $\"\"$ .

The domain of the function is $\"\"$ .

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

$\"\"$

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.

$\"\"$

But $\"\"$ out of the domain $\"\"$ .

$\"\"$ is end point of the interval.

So the function does not have any inflection points.

$\"\"$

Test for concavity of the interval is $\"\"$ .

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

Intervals	Test value	\ Sign of $\"\"$ \	Conclusion
$\"\"$	$\"\"$	\ $\"\"$ \	Concave upward

The function is concave upward in the intervals $\"\"$ .

$\"\"$

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