Solution 9.10.3.3
S
G
a
=
a
G
@G
@a
=
a
a
s(s + a)
@
@a
a
s(s + a)
=
s(s + a)
1
;as
s
2
(s + a)
2
+
1
s(s + a)
= s(s + a)
"
;as + s
2
+ as
s
2
(s + a)
2
#
=
s
2
s(s + a)
=
s
(s + a)
S
T
c
a
=
a
T
c
@T
c
@a
=
a
a
s
2
+ as + a
@
@a
a
s
2
+ as + a
=
s
2
+ as + a
1
;a(s +1)
(s
2
+ as + a)
2
+
1
s
2
+ as + a
= (s
2
+ as + a)
"
;as;a + s
2
+ as + a
(s
2
+ as + a)
2
#
=
s
2
(s
2
+ as + a)
S
G
K
= S
T
c
K
=0 since there is no dependence on K: