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VED1
E L-LOVELY-H math10-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

noEPk;soh dk rfDs Dilfraz Singh, Lovely Professional University

B'N fJekJh^10L T[uso ns/ fBwBso L d' uo ns/ b/Aro/Ai

r[De ;fjs gqshpzX T[uso ns/ fBwBso
(Maxima and Minima: Two Variables and
Constrained Maxima and Minima with
Langrange’s Multiplier)

ftP/ t;s{ (Contents)
T[d/P (Objectives)
gq;sktBk (Introduction)

10H1 T[uso ns/ fBwBso gsk eoB d/ gqshpzX
(Conditions to Finding Maxima and Minima)
10H2 b/Aro/i r[De ;fjs gqshpzX T[uso ns/ fBwBso
(Constrained Maxima and Minima with Langrange’s Multiplier)
10H3 ;bN;eh ;wheoD (Slutsky Equation)
10H4 ;bN;eh ;wheoD b'u o{g ftZu (Slutsky Equation in Elasticity Form)

10H5 ;koKP (Summary)
10H6 Ppde'P (Keywords)

10H7 nfGnk; gqPB (Review Questions)
10H8 ;zdoG g[;seK (Further Readings)

T[d/P (Objectives)

fJ; fJekJh d/ nfXn?B s'A pknd ftfdnkoEh :'r j'Dr/L
• T[uso ns/ fBwBso gsk eoB d/ gqshpzX ;zpzXh ikDekoh gqkgs j't/rh.

• b/Aro/i ftXhdh ikDekoh ;zpzXh.
• ;bN;eh ;wheoD B{z ikD ;eDr/.

• ;bN;eh ;wheoD b'u o{g ftZu uzrh soQK ;wM ;eDr/.

gq;sktBk (Introduction)

wzB fbU e'Jh, u = f (xy) fdZsk j'fJnk j?, ns/ (x 0 , y 0 ) d' fdZs/ j'J/ fpzd{ jB fiBQK T[Zs/ tZX s'A
tZX ns/ fBT{Bsw cbB gsk eoBk j? ns/ e < n d' XBkswe ;fEo nze jB sK cbB T[uso
(x 0 , y 0 ) T[Zs/ j/m nB[;ko j't/rk, f (x 0 – e, y 0 – n) < f (x 0 , y 0 ) ns/ f (x 0 , y 0 ) > f (x 0 + e, y 0 + n)
ns/ fBwBso f (x 0 – e, y 0 – n) > f (x 0 , y 0 ) ns/ f (x 0 , y 0 ) < f (x 0 + e, y 0 + x) fiZE/ f (x 0 , y 0 ) cbB
dh T[uso ns/ fBwBso w[Zb j?.

158 LOVELY PROFESSIONAL UNIVERSITY