75-rasm.
d t
Дт
- j- = lim — ,
ds
as
^
o
A
s
bu y e rd a Ax tra y e k to riy a d a g i b ir-b irig a y a q in b o 'lg a n
M0 va Л/,
n u q ta la rd a n o ‘tk az ilg a n u rin m a la r b irlik v e k to rla rin in g a y irm a si
(75-rasm ,
a).
|x0| = |x|| = 1 b o 'lg an i
uch u n x, x, va Ax
lard an tashkil to p g a n
uch bu rchak tengyonli b o ‘ladi (75-rasm ,
b)\ bu uchburchakdan:
. A0
H
sin —
— = —
—-
2
2
•
Л/, ni
M0 ga ju d a yaqin deb qarasak, A0 ju d a kichik b o ‘ladi. Bu
holda s i n ^ ni ^ bilan alm ashtirish m u m k in , y a’ni:
A0
IA1
1-
ЛА
l*-l
t
= V y°kl Ae = lAxl •
N atijada:
dx
ds
M
Д0
,
, •
..
A0
1
= lim — = lim — = ~ r = k yoki
hm — — (38.2)
Дл -> 0
Д .у-> 0 A 'v
ds
A s - > 0
As
P
dx
kelib chiqadi. p — egrilik radiusi, к — ch iziq n in g egriligi. — v ek to r
x ga p erp en d iku lar, h aqiqatan h am x ning kvadrati birga teng:
