IDZ_Proizvodnye

3.1. y = x2 +16 −16,

1, 4

]

.

x

[

x2

[

]

3.2. y = 4 − x −

4

,

1, 4

.

[0, 6].

3.3. y = 3 2

(x −2)2 (

8 − x)

−1,

3.4. y =

2(x2 +3)

,

[−3, 3].

x2 −2x +5

3.5. y = 2

x − x,

[0, 4].

[

]

(

)

2

(

)

3.6. y =1+

3 2

x −1

x −

7

,

−1, 5

.

3.7. y = x −4

[

]

x

+5,

1, 9

.

3.8. y =

10x

,

[0, 3].

1+ x2

(

)

2

(

)

[

]

3.9. y = 3 2

x +1

5 − x

−2,

−3, 3 .

3.10. y = 2x2 +

108

−59,

[2, 4].

x

4

3.11. y =3 − x −

,

[−1, 2].

(x +2)2

3.12. y = 3

,

[−1, 6].

2x2 (x −3)

3.13. y =

2(−x2 +7x −7)

,

1, 4

]

.

x2 −2x +2

[

3.14. y = x −4

+8,

[−1, 7].

x +2

[

]

3.15. y = 3 2

(

x

)

2

(

5 − x

)

−2

,

1, 5

.

3.16. y =

4x

,

[−4, 2].

4

+ x2

3.17. y = −

x

2

+ 8 +8,

[

−4,

−1 .

2

x

]

[−2, 4].

3.18. y = 3

2x2 (x −6)

,

3.19. y =

−2x(2x +3)

,

1, 4

]

.

x2 +4x +5

[

3.20. y = −

2(x2 +3)

,

[

−5, 1 .

x2 +2x +5

]

[

]

(

)

2

(

)

3.21. y =

3 2

x −1

x

−4

,

0, 4

.

3.22. y = x2 −2x +

16

−

13,

[2, 5].

x −1

[

]

3.23. y = 2

x −1

− x +2,

1, 5

.

[

]

3.24. y =

(

x +2

)

2

(

− x

)

3 2

1

,

−3, 4

.

3.25. y = −

x

2

+2x +

8

+5,

[

−2, 1 .

2

x

−2

]

3.26. y =8x +

4

1

−15,

,

2 .

x

2

2

[−4, 2].

3.27. y = 3 2

(x +2)2 (x −4)

+3,

3.28. y = x2 +4x +

16

−9,

[−1, 2].

x +2

4

1

3.29. y =

−8x −15,

−2,

−

.

x

2

2

[

]

(

)

2

(

)

3.30. y =

3 2

x +1

x

−2

,

−2, 5

.

3.31. y = −

10x +10

, [−1, 2].

x2 +2x +2

(

x3 +4

)

x2 .

(

x2

)

(x −1).

7.1. y =

7.2. y =

− x +1

7.3. y = 2 (x2 +2x).

7.4. y = 4x2

(3 + x2 ).

7.5. y =12x

(9

+ x2 ).

7.6. y =(x2 −3x +3)

(x −1).

7.7. y =

(

4 − x3

)

x2 .

7.8. y =

(

x2

−4x

)

(x −4).

(

)

+1

7.9. y =

2x3

x2 .

7.10. y =(x −1)2

x2 .

+1