X, - , x. ³ , . (second-order derivative) :
, - , , (acceleration) t. . .
n- - , ,
. , n - ; : .
. , n - , n - :
.
(second differential) x ( , x ) ;
. .
, n- ( ), n =2,3,... , x. . :
15 .
= f (), (; b), ( ) f ′(), f ′() = 0. , = f ()
. = f (), [ ; b ] (; b), f (a) = f (b), (; b) , f ′() = 0.
: = f () , , (.).
. = f () [ ; b ] (; b), , (.): = f () , .
. f ′(x) = 0 (; b), f () .
. f () g (): 1) [ ; b ];
2) (; b);
3) g' (x) ≠ 0 ,
(; b) ,
16
f (x), n - f (n)(a) = , n, , Rn (x), , (xa) n [ Rn (x) = an (x)(x a) n, an (x) → 0 → ]. (n + 1)- , Rn (x) :
|
|
,
ξ ξ1 - ( . . ). , . .. n- f (x). . . .
= 0:
-
, :
- ;
- ;
- ;
- ,
.