五年制高职数学(第三册)
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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);

(9)y=e-x+ln(1-2x); (10)y=sin 2x+cos x2

(11)y=log2(x2+1); (12)y=sin23x;

(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)

(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.