\ \

Step 1 :

The function is

Domain of the function : \ \

Since there should not be any negative numbers in the square root, \ \

\ \

The domain is .

Step 2 :

Let

Apply derivative on each side with respect to x.

Apply the product rule of derivative:

Step 3 :

Determination of critical points:

Since is a root function, it is continuous on its domain .

The critical points exists when .

Equate to zero:

The critical points are

Consider the test intervals as and . \ \

Interval	Test Value	Sign of	Conclusion
		\ \	Decreasing
		\ \	Increasing
		\ \	Decreasing

Thus, The function is increasing on the interval . \ \

And The function is decreasing on the intervals and .

Solution :

The function is increasing on the interval . \ \

The function is decreasing on the intervals and .