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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

B'N 2H cbB d/ d' ;wkB wkBK d/ ftukb/ xZN s'A xZN fJZE T[uso iK fBwBso wkB io{o j[zdk
j?.
3H T[jBK fpzd{nK T[Zs/ fiZE/ cbB dk wkB T[uso iK fBwBso j? ;goP o/yktK x-neP d/

;wKso j[zdhnK jB. fJ; soQK nfij/ fpzd{nK T[Zs/ dk wkB Iho' j't/rk & 0
wkB d/ e/ gqkgs ;wheoD B{z jZB eoB Bkb x d/ wkB gsk j' iKd/ jB fiBQK T[Zs/ cbB
dk wkB T[uso iK fBwBso j[zdk j?.

4H cbB d/ T[uso iK fBwBso fpzd{nK T[Zs/ dk fuzBQ pdbdk j?. T[uso fpzd{ T[Zs/ fJj
fuzBQ XB s'A foD ns/ fBwBso fpzd{ T[Zs/ foD s'A XB ftZu gfotofss j[zdk j?.

Nk;e fBwBso B{z gfoGkPs eo'.

9H5 cbB y = f (x) dk T[uso ns/ fBwBso wkB gsk eoB d/ fefonk gd
(Steps of Finding Maxima and Minima of the Functions y = f (x))

(i) y = f (x) dk gsk eoBk.

(ii) & 0 oZye/ gqkgs ;wheoD d[nkok x d/ fGzB^fGzB wkB gsk eoBk.

(iii) wzB fbU fe x d/ fGzB^fGzB wkB a 1 , a 2 , a 3 jB.

2
2
(iv) d y/dx gsk eoe/ a 1 , a 2 , a 3 nkfd T[Zs/ dk wkB gsk eoBk.

i/eo x d/ fe;h wkB d/ bJh dk wkB XBkswe j? sK cbB T[; x d/ wkB d/ bJh

fBwBso j't/rk ns/ i/eo foDkswe j't/ sK T[uso j't/rk.

(v) i/eo x d/ fe;h wkB d/ bJh & 0 j't/ sK T[; x d/ wkB d/ bJh gsk

eoBk. i/eo T[; x d/ wkB d/ bJh 0 sK cbB dk wkB T[; x d/ wkB T[Zs/ Bk
sK T[uso ns/ Bk fBwBso j't/rk.

(vi) i/eo fe;h x d/ wkB d/ bJh & 0 j't/ sK T[; x d/ wkB d/ bJh gsk

eo' i/eo T[; x d/ wkB d/ bJh foD j? sK T[; x d/ wkB T[Zs/ cbB T[uso j?

ns/ i/eo XB j? sK fBwBso j't/rk. i/eo fJj th Iho' j? sK fJ;h soQK nZr/
fefonk eod/ ikDk j?.

148 LOVELY PROFESSIONAL UNIVERSITY