The function is and the interval is .

Absolute maxima or minima exist either at the end points or at the critical numbers.

Find the critical numbers :

Differentiate on each side with respect to .

Apply quotient rule of derivatives : .

is undefined when denominator is zero.

Find the values where denominator is zero.

Solve the quadratic equation.

Since the discriminant is some value, the denominator is never zero.

Equate to zero.

At , the function is undefined, but it is not in the domain.

Since is not in the interval, the critical number is .

The end points are and .

Find the value of at the critical numbers.

Substitute in .

Find the value of at the end points of the interval.

Substitute in .

Substitute in .

Since the largest value is , absolute maximum is .

Since the smallest value is , absolute minimum is .

Absolute maximum is .

Absolute minimum is .