The function is .

Differentiate on each side with respect to .

.

Find the critical points.

Equate  to zero:

and 

 and 

The critical points are and .

The test intervals are , and .

First derivative test :

Interval	Test Value	Sign of	Conclusion
			Increasing
			Decreasing
			Increasing

The function has a local maximum at , because changes its sign from positive to negative.

Local maximum is .

The function has a local minimum at , because changes its sign from negative to positive.

Local minimum is .

Second derivative test :

.

Differentiate on each side with respect to .

Substitute in second derivative.

Since , curve is concave down.

Therefore local maximum at .

Local maximum is .

Substitute in second derivative.

Since , curve is concave up.

Therefore local minimum at .

Local minimum is .

Local minimum is .

Local maximum is .