求下列函数的导数:(1)y=x2sinx;(2)y=ln(x+1+x2);(3)y=ex+1ex?1;(4)y=x+cosxx+sinx

2024-11-07 08:27:51
推荐回答(1个)
回答(1):

(1)y′=(x2)′sinx+x2(sinx)′=2xsinx+x2cosx.
(2)y′=

1
x+
1+x2
?(x+
1+x2
)′
=
1
x+
1+x2
(1+
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

=