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习题 13.3
1.求下列函数的导数:
(1)y=(2x+1)10; (2);
(3)y=ln cos x; (4)y=esin x;
(5); (6)y=cos(3x+2);
![](https://epubservercos.yuewen.com/49DD8E/17180252104501606/epubprivate/OEBPS/Images/img00075004.jpg?sign=1738858184-gWzcKekhO37Sd88AdThOK8SUpcuoQjeJ-0-9e1c9dd9d12e1941124547227420c761)
(9)y=e-x+ln(1-2x); (10)y=sin 2x+cos x2;
(11)y=log2(x2+1); (12)y=sin23x;
![](https://epubservercos.yuewen.com/49DD8E/17180252104501606/epubprivate/OEBPS/Images/img00075005.jpg?sign=1738858184-EdANOZ4zNRBPG1wT9AeezhNZyZoUEzIb-0-e9a8e3fec4247c1d2b89456504601861)
(15)y=arctan(1+x2); (16)y=arcsin 3x;
(17); (18)y=ln sin x2;
(19); (20)y=(lnln x)4.
2.求下列函数的导数:
(1); (2)y=e2xcos 3x;
(3)y=e-xln(2x+1); (4)y=sin2x·cos 2x;
(5)y=(2-x2)sin 3x; (6);
(7); (8)y=sinnx·cos nx;
(9)y=(sin x+cos x)n; (10);
![](https://epubservercos.yuewen.com/49DD8E/17180252104501606/epubprivate/OEBPS/Images/img00075012.jpg?sign=1738858184-qG9jR6zLffDourEv4GW9JjsaIhRQi0Fe-0-a59e9ddfe3dbe3c9f4ceb3ba25a85c71)
(13)y=(x+sin2x)4; (14).
3.求下列函数的二阶导数:
(1)y=e2x-1; (2)y=ln(1+x);
(3)y=ln cos x; (4)y=sin2x.