, . : .
:
sin ,
arcsin ,
tg ,
arctg ,
,
ln(1 + ) ,
(1 + ) a 1 .
. 0 .
. .
1. ?
2. . ?
3. ? ?
4. ?
5. . ?
6. .
7. ? ?
8. ?
9. .
10. ? .
5
:
1) ) 0 = 2; ) 0 = 3; ) 0 = ;
2) ;
3) ;
4) .
. 1) 0 = 2. ,
= = .
1) , , :
= = = = = .
1) , . , . . 2:
= = =
= = = 1.
2) , . , :
= = =
= = =
= = = .
3) , :
= = = = 2 1 = 2.
4) , [ ]. , :
= [ ] = =
= = 4.
: 1) ; 1) ; 1) 1; 2) ; 3) 2; 4) 4.
4. 6 7
y = f (x) 0 =
= , .
y = f (x) , f' (x), .
.
y = f (x) 0, .
|
|
. y = f (x) 0, .
, , .
y = f (x) -
0 , 0 f' (x 0) y = f (x)
0 (. 11).
. 11 |
. :
1. R Q.
2. R Q.
, , , - .
:
1. , . . c' = 0.
2. 1, . . ' = 1.
3. -, . . .
4. u
v .
. , . . ( u) ' = u'.
5. u v .