(1)y′=(x2)′sinx+x2(sinx)′=2xsinx+x2cosx.
(2)y′=
?(x+1 x+
1+x2
)′
1+x2
=
(1+1 x+
1+x2
)x
1+x2
=
.1
1+x2
(3)y′=
(ex+1)′(ex?1)?(ex+1)(ex?1)′ (ex?1)2
=
.?2ex
(ex?1)2
(4)y′=
(x+cosx)′(x+sinx)?(x+cosx)(x+sinx)′ (x+sinx)2
=