-
1. ( ).
2. .
-
1. - . , .
2. - ( , 48 , ) , .
3. : - , , , , .
- .
5. , , . .
5. , , .
6. . , , , , , , , .
7. , , , , .
- :
, , , .
1. 0. ђ = 0
2. 1. x = 1
3. u(x) v(x) ,
(u v) = u v " Î D
4. .
(uv) = uv + uv
. .
(u) = Cu
5. , v(x) ¹ 0.
6. y = f(u) u = j (x) , u .
y = f(u) × u
, .
|
|
|
1-4.
1. ¢ = 0.
2. ¢ = 1.
3. ( n) ¢ = n x n-1.
4.  .
5.  .
6. (a x) ¢ = a x ln a.
7.  .
8. (ln x) ¢ = 
9. (lg x) ¢ =  .
| 10. (e x) ¢ = e x.
11. (sin x) ¢ = cos x.
12. (cos x) ¢ = sin x.
13. (tg x) ¢ =  .
14. (ctg x) ¢ =  .
15. (arcsin x) ¢ =  .
16. (arccos x) ¢ =  .
17. (arctg x) ¢ =  .
18. (arcctg x) ¢ =  .
|
5 .
[ a, b ]:
1) ( ) (a, b);
2) ;
3) ;
4) .
. = 3 12 [ 3, 4].
- : (3; 4).
1) ¢= 3 2 6 = 3( 2 4);
¢= 3( 2 2) = 0,
1 = 2 2 = 2 Î[ 3, 4] - .
2) f ( 2) = 16, f (2) = 16.
3) f ( 3) = 9,, f (4) = 16;
4) 2 3
f (2) = 16, f ( 2) = 16, f (4) = 16. ►
6 (. 12)
