Page 79 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math3-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

bdkbZ vodyu

Lo&ewY;kadu
uksV

1- fjDr LFkkuksa dh iwfrZ djsa
/
B
µ
fdlh iQyu osQ vody&xq.kkad dks Kkr djus dh fof/ dks iQyu dk --------- djuk dgrs gSaA

vpj vkSj fdlh iQyu osQ xq.kuiQy dk vody&xq.kkad iQyu osQ vody&xq.kkad vkSj vpj osQ
--------- osQ cjkcj gksrk gSA

dy du d
n
= ........ x = nx ---------
dx dx dx
d
(9x 7 ) = ........
dx

3-6 nks iQyuksa osQ ;ksx ;k vUrj dk vody&xq.kkad

% "
% )

eku yhft, : N

∴ ; , : ; , N ; ,

x
d {f 1 (x + ) h ± f 2 (x + h )} − {f 1 ( ) ± x f 2 ( )}
dx D E : lim 0 h
h →
x
lim
: h → 0 { (x + f 1 ) h − f 1 ( )} ± x h { (x + f 2 ) h − f 2 ( )}
x
x
lim
lim
: h → 0 1 ( f x + h ) h − f 1 ( ) N h → 0 f 2 (x + h ) h − f 2 ( )
d d d

dx D E : dx N dx
vr% nks iQyuksa osQ ;ksx ;k vUrj dk vody&xq.kkad muosQ vody&xq.kkad osQ ;ksx ;k vUrj osQ cjkcj gksrk
gSA O;kid :i esa %
eku yhft, : N N N ;

d d d d
rks : N N N
dx dx dx dx

uksV~l nks ;k nks ls vf/d iQyuksa osQ ;ksx ;k vUrj dk vody&xq.kkad muosQ vyx&vyx

vody&xq.kkadksa osQ ;ksx ;k vUrj osQ cjkcj gksrk gSA