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E L-LOVELY-H math4-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

fJekJh^4 L bx[rDe fBy/VB

(iii) xy = c dk wkB j't/rk^ B'N

x x y y
(a) − (b) (c) − (d)
y y x x

4H5 ;koKP (Summary)

• i/eo nfij/ cbBK dk fBy/VB eoBk j't/ fi; ftZu xks nze th T[;h uo okPh dk cbB
j't/ iK T[j cbB fi;dk fBy/VB eoBk j't/ eJh cbBK dk r[DBcb iK Gkrcb j't/, sK
nfij/ cbBK dk fBy/VB T[jBK dk bx[rDe b? e/ gsk ehsk iKdk j?. fJ; gqfefonk B{z
bx[rDeh fBy/VB efjzd/ jB.
• log (m . n) = log m + log n
 m 
• log   = log m – log n
 n 
n
• log (m) = n log m.
• i/eo x ns/ y d/ ftZu e'Jh nfijk ;wheoD fdZsk j't/ fi;B{z s[ozs y d/ bJh jZb BjhA
ehsk ik ;e/, sK y B{z x dk n;gPN cbB (implicit function) efjzd/ jB. fJ;d/ T[bN
i/eo y dk wkB x d/ o{g ftZu gsk ehsk ik ;e/, sK y B{z x dk ;gPN cbB (explicit
function) efjzd/ jB.

• edh^edh x ns/ y d'B'A fe;h fsZih uo okPh d/ cbBK d/ o{g ftZu fdZs/ j[zd/ jB. fJ;
fsZih okPh B{z wkgdzv (Parameter) efjzd/ jB ns/ fJ; soQK d/ ;wheoD wkgdzve
;wheoD ejkT[Ad/ jB.

4H6 Ppde'P (Keywords)

• cbB (Function) ^ ekoi.
• nBzs (Infinite) ^ fi;dk nzs Bk j't/.

4H7 nfGnk; gqPB (Review Questions)

dy  1 1 
−
1
1H i/eo y = x sin-1 x, sK dk wkB gsk eZY'. (T[Zso L x sin-1 x  sin x + log x  )
dx  x 1 x 2 
−
dy logsin y + y tan x
x
y
2H i/eo (cos x) = (sin y) j't/, sK eZY'. (T[Zso L )
dx logcos x - x cot y
dy y 2
y
3H i/eo y = x , sK f;ZX eo' fe x = H
−
dx 1 y log x
dy b
4H i/eo x = a cos θ ns/ y = b sin θ, sK gfoefbs eo'. (T[Zso L − cot θ )
dx a

T[Zso L ;t?^w[bKeD (Answer: Self Assessment)
1H (i) bx[rDe (ii) log n (iii) n (iv) log (m. n) (v) 12 V
E
2H (i) (a) (ii) (b) (iii) (c). D

LOVELY PROFESSIONAL UNIVERSITY 93