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fJekJh^1 L cbB

x
x
(iv) uoxksh cbB (Exponential Functions)^fit/AL e , a , x sinx , (sin x) cosx nkfd. B'N
10H gfoGkfPs cbB (defined Function)^x = a s/ cbB f (x) gfoGkfPs ejkT[Adk j? i/eo
f (x) ftZu x = a oZyD s/ cbB dk wkB f (a) fJZe fBPfus ns/ gfofws (Finite) okPh d/
pokpo j't/ fijVk g{oh soQK noEg{oD Gkt n;b j't/.
11H ngfoGkfPs cbB (Undefined Function)^x = a s/ cbB f (x) ngfoGkfPs ejkT[Adk j?
nkfd f (a) dk wkB nfBPfus ns/ noEjhD j?, fit/A^

T[dkjoD ti'A^

12H nuo cbB (Constant Function)^y = f (x) = c, fiZE/ c fJZe nuo okPh j?, fJZe nou
cbB B{z gqdofPs eodk j?. nuo cbB ftZu x d/ jo wkB d/ bJh y iK f (x) dk wkB
jw/PK ;fEo ofjzdk j?.
13H nktosh cbB (Periodic Function)^cbB y = f (x) nktosh cbB ejkT[Adk j?. i/eo x
d/ jo wkB d/ bJh
f (x + k) = f (x),
fiZE/ k e'Jh n;b ;zfynk j? i' 0 d/ pokpo BjhA j?, Gkt k B{z gkbB dk nktosekb
(Period) efjzd/ jB.
14H cbB dk cbB (Function of the Function)^wzfBnk f (x) ns/ g(x) uo x d/ e'Jh d' cbB
jB, T[d'A f [g(x)] cbB dk cbB ejkT[Adk j? fijVk f (x) ftZu x d/ ;EkB s/ g(x) oZyD s/
gqkgs j[zdk j?.

fJ;h soQK, g[f(x)] th cbB dk cbB j? fijVk g(x) ftZu x d/ ;EkB s/ f (x) oZyD s/ gqkgs j[zdk
j?.

1H11 cbBK d/ ;w[Zu ftZu fefonktK (Operations in the Set of Functions)

wzB fbU fe S T[jBK ;ko/ n;b cbBK dk ;w[Zu j? fiBQK dk v'w/B D j?. T[d'A i/eo f ns/ g ;w[Zu
f
S e'Jh d' cbB j'D sK f + , gf − , gfg , d/ noE fBwBfbus j'Dr/L
g

;gPN j? fe cbBK f + g, f – g, fg dk v'w/B th D j?.

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