Page 220 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

VED1
E L-LOVELY-H math14-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 10-9-12

noEPk;soh dk rfDs

B'N

B'N; n;hA, Ppd ‘ILATE’ ftZu, gfjbK nkT[D tkb/ cbB B{z gfjbk cbB s/ pknd
ftZu nkT[D tkb/ cbB B{z d{ik cbB u[D e/ tzfvnk j'fJnk nB[ebB eo ;ed/
jK.

-1
-1
-1
fiZE/ I-(Inverse trigonometrical functions) gqshb'w fse'Dfwsh cbBK (sin x, cos x, tan x
nkfd) d/ bJh j?.
2
2
L-(Logarithmic functions) bx[rDe cbBK (log x, log (x ± a ) nkfd) d/ bJh j?.
A-(Algebraic functions) phie cbBK (x, x + 1, 2x, nkfd) d/ bJh j?.
T-(Trigonometrical functions) fse'Dfwsh cbBK (sin x, cos x, tan x) d/ bJh j?.
x
x
-x
x
x
E-(Exponential functions) uoxksh cbBK (a , e , 2 , 10 , 3 nkfd) d/ bJh j?.
T[AM sK tzfvnk j'fJnk nB[ebB eoB d/ d"okB cbBK dh u'D dh e'Jh gqwkfDs ftXh BjhA j?,
fco th ftfdnkoEh T[go'es fNZgDh ftZu toDs ‘ILATE’ d[nkok cbBK dh u'D eoe/ tzfvnk
j'fJnk nB[ebB eo ;ed/ jB.

jZb ;fjs T[dkjoD
T[dkjoD 1H dk wkB gsk eo'.

jZb L wzB fbU fJZE/ fJekJh d{ih cbB j? feT[Afe i/eo log e x B{z d{ik cbB fdZsk ikt/ sK fJ;
dk nB[ebB BjhA gsk bZr ;edk.

(tzfvnk j'fJnk nB[ebB eoB s/)

T[Zso

ukjhJ/ sK n;hA x log e x – x B{z th fby ;ed/ jK, feT[Afe log e e = 1H

T[dkjoD 2H dk wkB gsk eo'.
jZb L fJZE/ nB[ebe d/ d' r[Dbyzv jB, x ns/ sin x d'jK dk nB[ebe gsk j? gozs{ fJBQK ftZu'A
n
cbB x, x d/ gqeko dk j?. fJ; bJh fJ;B{z gfjbk cbB wzBDk ukjhdk j?.

fJ; soQK

T[Zso

214 LOVELY PROFESSIONAL UNIVERSITY