2.2.2
1.
(a)
. Then
. Now solve for
. Then
.Pay attention to the range of
, express
using
. Then we have
.Therefore,
(b)
implies that
. Now solve this for
. Then
.Pay attention to the range of
, express
using
. Then
. Thus,
.Therefore,
2.
(a)
Take logarithm on both sides. Then
Differentiate both sides with respect to .
Thus,
(b)Take logarithm on both sides. Then
Now differentiate both sides with respect to .
Thus,
(c)Take logarithm on both sides. Then
Now differentiate both sides with respect to .
Thus,
(d)Take logarithm on both sides. Then
Now differentiate both sides with respect to .
Thus,
3.
4.
![]() |
![]() |
![]() |
|
![]() |
![]() |