Step 1:

The function is .

Consider .

Derivative on each side by .

Apply the power rule of derivative :.

Step 2:

The function is a monotonic function, the derivative is equal to zero.

The x values are .

The domain of the function is

At.

.

The derivative value is negative, the function is decreasing over this range.

At .

.

The derivative value is positive, the function is increasing over this range.

A monotonic function is one whose successive values are either increasing or decreasing.

Therefore the function is not strictly monotonic.

Solution :

The function is not strictly monotonic.