Step 1:
\The function and the interval is
.
Differentiate the function with respect to
Find the critical numbers of on
by setting
.
and
.
Critical numbers are and
.
Step 2:
\Find the values of at these critical numbers.
step 3:
\Find the values of at the end points of the interval.
Compare the four values of to find absolute maximum and absolute minimum.
Absolute maximum value is
Absolute minimum value is
Solution:
\Absolute maximum value is
Absolute minimum value is
\ \ \ \
\ \