(1)∵y=xtanx-
=2 sinx
?xsinx cosx
,2 sinx
∴y′=
?(xsinx)′cosx?xsinx(cosx)′ cos2x
?2cosx sin2x
=
+(sinx+xcosx)cosx+xsinxcosx cos2x
2cosx sin2x
=
+(x+1)sinxcosx+xcos2x cos2x
.2cosx sin2x
(2)∵y=
-2x,lnx x+1
∴y′=
?2xln2
?(x+1)?lnx1 x (x+1)2
=
?2xln2.x+1?xlnx x(x+1)2