求下列函数的导数:(1)y=log 4x3-log 4x2;(2)y=2x2+1x?2x;(3)y=-2sinx2(2sin2x4-1)

2025-01-03 16:46:03
推荐回答(1个)
回答1:

(1)∵y=log4x3?log4x2=log4x,
∴y′=(log4x)=

1
xln4

(2)∵y=
2x2+1
x
?2x
=2x+
1
x
-2x=
1
x

∴y′=(
1
x
)′=-
1
x2

(3)∵y=-2sin
x
2
(2sin2
x
4
-1)=2sin
x
2
(1-2sin2
x
4

=2sin
x
2
cos
x
2
=sinx.
∴y′=(sin x)′=cos x.