2.2.1
: .
: ..
: .
) .
ϳ ( ):
1. . , .
2. . , .
3. . , , 䒺 .
4. , .
j .
6. . .
7. , .
.
8. .
9. .
10. .
) " :
.
'. 1) , +1=0, = -1. , : D(f)=(-∞;-1)∪(-1;+ ∞).
2) - (, = -1 ).
) , , ( = 1 D(f), x=-1 ∉ D(f)).
4) f() 2 +1 , , = - 1, + 1=0. f () D(f). , l, = -1 - .
5) f '():
f '() = 0 1 = -2 2 = 0. , f ' () .
:
f '() | (-∞;-2) | =-2 | (-2;-1) | (-1;0) | = | (0;+ ∞) |
f '() | + | - | - | + | ||
f () | Ö | = - 2 max y(-2)=-4 | Ø | Ø | x = 0 min (0)=0 | Ö |
6) f"():
, , . , .
f "() > 0 (-1;+ ∞), (). f "() < 0 (-∞;-1), (∩).
|
|
7) = -1 , .
y=kx+b, ,
.
= - l .
8) '
, (0;0) . '
(0;0). , (0;0).
9) , , .
- 3 | - 1/2 | ||||
- 4,5 | 1/2 | 1/2 | 4/3 | 9/4 |