Page 156 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math8-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

vFkZ'kkfL=k;ksa dk xf.kr

uksV oqQy ykHk] π ( ' , ' * +

( * , I * * *

( * ( 8 * (

ykHk vf/drehdj.k gsrq]
lehdj.k (

dk rFkk osQ lkis{k esa i`Fko~Q&i`Fko~Q vodyu djosQ 'kwU; osQ cjkcj j[kus ij

∂π ( * ( + vFkok ( 1
∂ q 1 2
∂π 2

∂ q 2 ( 8 * ( + vFkok ( 3
rFkk dk eku j[kus ij
2
1 3
( 2 − 2 = 2 = 1.5

2
( 9 − 6 × = 9 − 4 = 5
3
1
' ( 2 − 2 × 2 = 1

2
' ( 9 − 12 × = 1
3
;gk¡ ' ( ' gS fdUrq ≠

  1  ;gk¡] ( cktkj $ dh yksp 
vc] ' ( P  1 − 
 1  e 1  
 
  1  
 ' ( P  1 −  ;gk¡] ( ck”kkj & dh yksp 
  2  e 2   

' ) ' ) rFkk dk eku j[kus ij

  1  

 ( 1.5 1 − e  vFkok ( ! 

  1  
  1  4 
 ( 51 −  vFkok ( 

   e 2  5  
bl izdkj ck”kkj $ esa ek¡x dh yksp ck”kkj dh vis{kk vf/d gS] vr% ck”kkj $ esa oLrq dh dher ck”kkj &
dh vis{kk de gSA
mnkgj.k 15- fdlh ,dkf/dkjkRed izfr;ksxh iQeZ osQ ek¡x iQyu rFkk ykxr iQyu fuEukafdr gSaµ
( ! &
( &

iQeZ dk ykHk] mRiknu Lrj rFkk ewY;
dk eku crkb;sA bl iQeZ dh ,dkf/dkfjd {kerk
fdruh gS\ blosQ fy, ek¡x yksp fudkfy;sA