4390

8

,

.

8.01. f (x) 3

1 x2

8.16.

f

(x)

1

9 x4

1

sin x

2

x2

8.02. f (x)

8.17.

f

(x)

x2

4 x2

8.03. f (x) cos2 5x

8.18.

f

(x)

ln (1 x2 )

x

8.04. f (x)

x

8.19. f (x) (x2

tg x2 ) cos x2

8 4x2

1 x

8.20. f (x) 3

8.05. f (x) ln

8 x3

1 x

8.06. f (x) e 3x e3x

8.21. f (x) e4x

e 4x

8.07. f (x) (x ctg x) sin x

8.22. f (x)

1 sin x4

x

8.08. f (x) 4

x

1 x

8.23.

f

(x)

1 x2

8.09. f (x)

x

8.24.

f (x)

1

tg x

x2

sec x

1

8.10. f (x) 1 cos 8x

1

8.25.

f

(x)

tg 2x

sec2x

8.11. f (x) e2x e 2x

8.26.

f

(x)

1

sin x3

x3

2

8.12. f (x)

1

8.27. f (x) 2cos2 3x

4 16 x2

8.13. f (x) sin 2x xcos 2x

8.28.

f

(x)

1

ctg2x

cosec2x

8.14. f (x) sin2 4x

8.29.

f

(x)

1

ctg x

cosec x

8.15. f (x) ex3

8.30.

f

(x)

x2

1 x4

9

x0 .

9.01. f (x) sin 2x,

x0

9.16. f (x) x e

x

,

x0 1

12

9.02. f (x) ecos x ,

x0

9.17. f (x) sin x

,

x0 2

2

4

9.03. f (x) cos 2x,

x0

9.18. f (x) cos

2

2x,

x0 0

4

9.04. f (x)

1

,

x0 15

9.19. f (x) e

3x

,

x0

1

4

1 x

9.05. f (x) sin2 x,

x0

9.20. f (x) ln (x 3),

x0 8

8

9.06. f (x) earctg x ,

x0 0

9.21. f (x)

1

,

x0

1

3

x2

9.07. f (x) ln cos x,

x0 2

9.22. f (x) sin 3x,

x0

3

9.08. f (x) e2x ,

x0

4

9.23. f (x)

1

,

x0

1

x 2

x

9.24. f (x) 3

,

x0

1

9.09. f (x) cos

,

x0 10

x

5

9.10. f (x)

1

,

x0 3

9.25. f (x)

1

,

x0

1

x2

x 1

1

9.11. f (x)

x

3

,

x0 1

9.26. f (x)

, x0 2

x2 4x 7

9.27. f (x)

,

x0

4

9.12. f (x) 3

e 2x

,

x0 2

x

9.13. f (x)

x

,

x0 2

9.28. f (x) cos2 x,

x0

4x

1

4

,

9.14. f (x) 3

ex 7

x0 5

9.29. f (x) tg x,

x0

4

1

9.30. f (x) 3

x0 7

9.15. f (x)

,

x0 1

x 1,

x

1 2

sin x2

1,5

dx

10.01.

x

dx

10.16.

3 27 x3

0

0

10.02.

1

9

ex dx

10.17.

0,5

cos (4x2 ) dx

x

0

0

10.03.

0,5

ln (1 x2 )

dx

0,1

ln (1 2x)

dx

x

10.18.

x

0

0

10.04.

1

sin x

dx

10.19.

0,5

dx

x

3 1 x3

0

0

1

2,5

dx

10.05. 3

x cos x dx

10.20.

4 625 x4

0

0

10.06.

1

dx

0,1

e 5x2 dx

10.21.

9 x4

0

0

0,3

dx

0,1

1 e

3x

dx

10.07.

10.22.

16 x3

x

0

0

0,5

sin x

4

0,2

cos (25x2 ) dx

10.08.

dx

10.23.

0

x

0

1 2

1

dx

10.09.

xcos x3 dx

10.24.

0

0 3 8 x3

0,1

e 6x 2

dx

0,1

ln (1 4x) dx

10.10.

10.25.

0

0

x

1

2

dx

0,4

1 ex 4

dx

10.11.

cos x

10.26.

x

0

0

0,1

1 e 2x

1,5

dx

10.12.

x

dx

10.27.

4 81 x4

0

0

0,1

0,2

ln (1 x2 ) dx

10.13. sin (100x2 ) dx

10.28.

0

0

10.14.

0,5

dx

10.29.

0,5

dx

4 1 x4

1 x5

0

0