a)
\The function
and the interval is
.
Differentiate the function with respect to
.

Find the critical numbers of
on
by setting
.



Critical number is
.
Find the value of
at the critical number
.



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





Compare the three values of
to find absolute extreme of the function.
Absolute maximum value is 
Absolute minimum value is 
b)
\The function
and the interval is
.
Find the values of
at the end points of the interval
.
Since open interval is there at
, exclude that point.


Absolute maximum value is 
c)
\The function
and the interval is
.
Find the value of the function at critical number
.


Since open interval is there at
, exclude that point.
Absolute minimum value is
.
d)
\The function
and the interval is
.
Find the value of the function at critical number
.


Since open interval is there at
, exclude that point.
Absolute minimum value is
.
(a) Absolute maximum value is 
Absolute minimum value is 
(b) Absolute maximum value is 
(c) Absolute minimum value is 
(d) Absolute minimum value is 