Page 150 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

VED1
E L-LOVELY-H math9-1 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^9L T[uso ns/ fBwBso L fJZe uo

(Maxima and Minima : One Variable)

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

9H1 T[uso ns/ fBwBso dh ebgBk (Concept of Maxima and Minima)
9H2 T[uso ns/ fBwBso dh gfoGkPk (Definition of Maxima and Minima)

9H3 T[uso ns/ fBwBso gsk eoB d/ gqshpzX (Condition to Finding Maxima and
Minima)
9H4 T[uso iK fBwBso fe;h d/ th Bk j'D dk gqshpzX (Condition to Absent of Maxima
or Minima)
9H5 cbB y = f (x) dk T[uso ns/ fBwBso wkB gsk eoB d/ fefonk gd (Steps of
Finding Maxima and Minima of the Function y = f (x))
9H6 ;koKP (Summary)
9H7 Ppde'P (Keywords)
9H8 nfGnk; gqPB (Review Questions)

9H9 ;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 dh ebgBk B{z ikDB bJh.
• T[uso ns/ fBwBso dh gfoGkPk B{z ;wMD bJh.

• T[uso ns/ fBwBso gsk eoB d/ gqshpzX ;zpzXh ikDekoh gqkgs j't/rh.
• cbB y = f (x) dk T[uso ns/ fBwBso wkB gsk eoB bJh.

gq;sktBk (Introduction)

i/eo s[jkv/ wekB dh T[ukJh nrb^prb (;Zi/ ns/ yZp/) ftZu ;fEs d'B'A wekBK dh T[ukJh s'A
tZX j? sK s[jkv/ wekB dh T[ukJh T[uso (Maximum) ejkJ/rh ns/ i/eo s[jkv/ wekB dh
T[ukJh nrb^prb (;Zi/ ns/ yZp/) ftZu ;fEs d'B'A wekBK dh T[ukJh s'A xZN j? sK s[jkv/ wekB
dh T[ukJh fBwBso (Minimum) ejkJ/rh.

9H1 T[uso ns/ fBwBso dh ebgBk (Concept of Maxima and Minima)
rfDs dk fJZe w[Zy T[g:'r fe;h cbB d/ T[uso ns/ fBwBso wkB gsk eoB ftZu j[zdk j?.
i/eo e'Jh cbB nkgD/ ;[szso uo d/ fe;h fBPfus wkB sZe brksko tZXdk j? ns/ ;[szso uo
d/ T[Zu wkBK d/ bJh xNdk j? sK nkgD/ tXD tkbh ;fEsh s'A xND tkbh ;fEsh ftZu nkT[D
ftZu cbB T[Zuso wkB gqkgs eodk j?. fJ;h soQK id'A cbB ;[szso uo d/ fe;h fBPfus fpzd{
sZe xNdk j? ns/ T[; s'A nrb/ wkBK d/ bJh tZXdk j? sK xNdh j'Jh ;fEsh s'A tXD tkbh

144 LOVELY PROFESSIONAL UNIVERSITY