$\"\"$

The function is $\"\"$ .

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 $\"\"$ is not exist.

$\"\"$ .

Simplify the expression is,

$\"\"$

$\"\"$ or $\"\"$ .

$\"\"$ and $\"\"$

The values of $\"\"$ and $\"\"$ .

$\"\"$

Test for concavity in the intervals $\"\"$ , $\"\"$ and $\"\"$ .

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

$\"\"$

The function is concave downward in the interval $\"\"$ and $\"\"$ .

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