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