The function is and the interval is
.
Absolute maxima or minima are exist either at the end points or at the critical numbers.
\Find the critical numbers :
\ is differentiable on the interval
.
Therefore the solutions of are the only critical numbers.
Differentiate on each side with respect to
.
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 .