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E L-LOVELY-H math3-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

fJekJh^3 L fBy/VB

B'N
fJ; soQK Bshik fBebdk j? fe id'A δx ns/ fJ;d/ Bshi/ ti'A δy pj[s xZN j' iKd/ jB sK , 6

d/ tZb/ nZr/ tZXdk j?. d{i/ PpdK ftZu,

B{z cbB y dk x d/ ;kg/y fBy/VB^r[DKe (Differential coefficient of y with respect to x)
iK ntebi (Derivative) efjzd/ jB. ;[szso uo d/ fe;h soQK d/ ;zd/j s'A puD d/ bJh fejk

iKdk j? fe cbB dk x d/ ;kg/y fBy/VB^r[DKe B{z iK fbyd/ jB. fJ; soQK

;hwk gsk eoB dh fJ; fefonk B{z fBy/VB eoBk efjzd/ jB iK fe;h cbB d/ fBy/VB^r[DKe gsk
eoB dh fefonk B{z fBy/VB (Differentiation) efjzd/ jB.

eh s[;hA ikDd/ j'

ftfdnkoEhnK B{z ns/ d/ nzso B{z pj[s ;ktXkBh Bkb ;wMDk ukjhdk j?. fJZe fGzB

j? fi;d/ nzP ns/ jo B{z fJZe^d{i/ s'A nbZr ehsk ik ;edk j? gozs{ fGzB BjhA j? pbfe

d/ ;hwKs wkB (limiting value) B{z gqrN eoB dk fJZe f;oc ;ze/s jh j?. dy B{z dx s'A nbZr BjhA
ehsk ik ;edk. fJ;B{z dy pN/ dx (dy upon dx) gVQBk nP[ZX j?. B{z vh vh n?e; nkc tkJh

[d-dx of y] gfVQnk iKdk j? ns/ fit/A n;hA gfjbK dZ; u[Ze/ jK fJ;dk noE j? (y) Gkt y dk x
d/ ;kg/y fBy/VB^r[DKe.

3H2 gfoGkPk (Definition)

i/eo x dk e'Jh cbB f (x) ns/ x + δx dk T[jh cbB f (x + δx) j't/ sK

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