题目内容
求下列函数的导数:(1)y=x2sinx;
(2)y=ln(x+
);
(3)y=
;
(4)y=
.
解:(1)y′=(x2)′sinx+x2(sinx)′=2xsinx+x2cosx.
(2)y′=
·(x+
)′
=
(1+
)=
.
(3)y′=
=
.
(4)y′=![]()
=![]()
=![]()
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题目内容
求下列函数的导数:(1)y=x2sinx;
(2)y=ln(x+
);
(3)y=
;
(4)y=
.
解:(1)y′=(x2)′sinx+x2(sinx)′=2xsinx+x2cosx.
(2)y′=
·(x+
)′
=
(1+
)=
.
(3)y′=
=
.
(4)y′=![]()
=![]()
=![]()