Найдите производную функции:
1. f(x) = x
2 + 3x
3 13. f(x) = x
3
sinx
2. f(x) = x
3 (4x + 2x -x
2 ) 14. f(x) = x
4 + tg (-2x)
3. f(x) =
x (2x
2 - 2x) 15.
x f x tg x ln cos x 3
2
1
( )
2
4. f(x) = (2x – 2) (1 - x
3 ) 16. 2 1 1
4
( )
x
x
f x arcctg
5. f(x) = x
x
3 5
1 2
17.
2 3 2 3 12
f (x) x 1 x arcsin(1 x )
6. f(x) = 2 1
2
x
x
18. ( ) (1 )
2
f x x x
7. f(x) = x
8 + 3
x
- 4
3 5 x 19. y = tg (x+ )
8. f(x) = (x – 8)
8 20. y = 2 tg x -3
9. f(x) = (x + 5)
4 + sin
2
x 21. y = tgx
10. f(x) =
3 (5 1)
1
x + cos 2x sin x
22. y = ctg 3x
11. f(x) = sin 5x sin 3x +2x 23. y= cos ( 2
3
+x)
12. f(x) = sin
3 2
x
- 3
24. y = -sin (2x+ )
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