1. , =- x +2.
B2. = f (x) [ x 1; x 2]. = f´ (x). - = f(x).
B3. = 3-3 2+27 -5 .
C1. y =2 x 3-3 x 2+7 ( -1; +1)?
2 = , < 0, , .
.
10
1. = -4 3 + s x.
) 12 2 sin x | ) 12 2 + sin x | ) 12 2 sin x | ) 12 2 + sin x |
2. = 11 3 2 2 + 5 1
) 33 2 4 5 | ) 33 2 + 4 + 5 | ) 4 + 5 | ) 33 2 4 + 5 |
3. = tg x 7
) | ) 7 | ) | ) 7 |
4. = 0 = 0
) | ) | ) 0,5 | ) 1,5 |
5. = 0 = 2
) 1 | ) 2 | ) 0 | ) 1 |
6. f '() = 0, f () = 3 5 2 + 8 + 1
) 2; 1 | ) 2; 1 | ) 2; 1 | ) 2; 1 |
7. s = t 4 + t 2 (). t = 3 c
) 102 | ) 0 | ) 108 | ) 114 |
8. = 5 + 17
) 5 | ) 17 | ) 22 | ) 17 |
9. f (x)= x 3+9 x 2-4
a) [-6;0] | )(-∞;-6];[0;+∞) | ) [0;6] | )(-∞;0];[6;+∞] |
10. f (x)=
a) (-∞;+∞) | )(- ;-1,5) |
) (-∞;-1,5) (1,5;+∞) | )(-∞;1,5)U(1,5;+∞) |
A11. f (x)= x 2 0=3
) y =6 x +27 | ) y =6 x -9 | ) y =-6 x +9 | ) y =-6 x -27 |
A12. , f '(x) ≤ 0, f (x)=12 x - x 3
a) (-∞;-2] U [2;+∞) | ) [-2;2] | ) (-2;2] | ) (-2;2) |