(a) Need to verify
.
Consider Left hand side
.
Let 

Apply derivative on each sid with respect to
.


.
If
, then
.
If
, then
.
Substitute
,
and
in
.
Apply limits:
to
.




= Right hand side.
\
.
(b) Need to verify
.
Consider Left hand side
.
Let 

Apply derivative on each sid with respect to
.


.
If
, then
.
If
, then
.
Substitute
,
and
in
.
Apply limits:
to
.




= Right hand side.
\
.
(a)
.
(b)
.