. = f (x) (a<x<b), 2 > 1 f (x2) > f (x1).
. = f (x) (a<x<b), 2 > 1 f (x2) < f (x1).
1. . 
.
2. . 
, .
3. . 
=1.
4. . 
5. . y= cos x; y = sin x; y = tg x; y = ctg x.
6. . y= arccos x; y = arcsin x; y = arctg x; y = arcctg x.
. = f (x) (,) , = f (x), .
, .
. f(x) 0 b, ( ) Ɛ > 0 δ, ≠ 0, 0< |- 0 |< δ, |- b |< Ɛ.
: 
5.1
:
1. 0 , .
2. . 
3. .
4. .
5. .
:
1. .
2. - , .
. f(x) (), , , 0.
. f(x) (), , , .
:
1. () ().
++= ++=
2. () ().
= =
3. () ().
= =
4. () ().
+ = + =
5. .
6. .
- .
.
.
6.1
- : 
:
|
|
|
1. 
().
6.2
2. 
:
) , .
6.3
1) 32 + 10 8 = 0
32 + 10 8 = 3( - 
)( + 4) = (3 - 2)( +4)
2) 
3) 
: 
) , .
. , .
( + ) 
( - )
( + )( - ) = 
6.4
: 2.
) , 
0, : sin α = α, tg α = α, arcsin α = α, arctg α =α, ln(1 +α) = α.
6.5
: 
