$\"\"$

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 $\"\"$ .

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

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 $\"\"$ .