问题
解答题
求下列函数的导数: (1)y=x4-3x2-5x+6; (2)y=xsinx; (3)y=
|
答案
(1)f'(x)=4x3-6x-5.
(2)f'(x)=(xsinx)'=sinx+x(sinx)'=sinx+xcosx.
(3)f′(x)=(
)′=x-1 x+1
=x+1-(x-1) (x+1)2
.2 (x+1)2
求下列函数的导数: (1)y=x4-3x2-5x+6; (2)y=xsinx; (3)y=
|
(1)f'(x)=4x3-6x-5.
(2)f'(x)=(xsinx)'=sinx+x(sinx)'=sinx+xcosx.
(3)f′(x)=(
)′=x-1 x+1
=x+1-(x-1) (x+1)2
.2 (x+1)2