(a)
(b)
SOLUTION:
(a) Given:
……….(i)
Now
Therefore, we have two sub-intervals and
For interval taking (say), from eq. (i), < 0
Therefore, is strictly decreasing.
For interval taking (say), from eq. (i), > 0
Therefore, is strictly increasing.
(b) Given:
= ……….(i)
Now
Therefore, we have two sub-intervals and
For interval taking (say), from eq. (i),
> 0
Therefore, is strictly increasing.
For interval taking (say), from eq. (i),
< 0
Therefore, is strictly decreasing.