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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);
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(9)y=e-x+ln(1-2x); (10)y=sin 2x+cos x2;
(11)y=log2(x2+1); (12)y=sin23x;
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(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);
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(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.