Page 28 - Math Grade 12 (Advance)

PROEUS DARA

Lf1nf1g : t?J2jJ-H~?l'f3S f RM6'ini5 !R ~t:Hl5 f(x) = sinx '1

R. Rllil6'int'f3H'f3tS~H~?l'f3Sttj1t1 f'(x) rhmg xe [o, ~] '1
"' I . 4
2. tiqp~mrhmgL?Jli xe [o, ~] t?Jms fxs.sinxs.x '1

1UMf19 : t?J§~HS?l<t3S t 'HlSttj1tJtrutHS"H [a, b] '1ttl'HlSGSS~n M ~tjru
I,; II i.J I <V \.1
if'(x)jS.M urmg XE [a, b] £2"18 t?llllS~fU'tj.ffHlif(b)-f(a)iS.Mib-al 'j

MLY11l1f1f[!11'i : t?J'HlsH~?J'f3s t 'Hlsttj1tHru 1 rUiruurmgL?Jli xe 1

t?llllS -MS. f'(x) S. M

Utmg a<b t?llllS -M(b-a)S.f(b)-f(a)S.M(b-a) (1)

urmg a>b t?JlllS -M(a-b)S.f(a) f(b)S.M(a-b) (2)

ffl'f3 (I) Sb (2) t?llllS if(b)-f(a)jS.Mib-al '1

mtmtint: t?J§~HS?l'f3S t 'HlSttj1t1tru !R ~tjru f(t) = cost '1 tiirlmmurmg;?Jti
U i.J I IJl"'-? l.J
x , y E !R t?llllS icosx- cosy! s. lx- yj '1

tufm : t?J'HlS f(t) = cost s12J f'(x) = -sint

t?llllS~tu'f3ffH1 lf'(t)l S.l utm8L?Jli te !R

0 '
~t:HSHHmgl_;i1J x , ye IR t?llllS icosx-cosyl S.ix-yl '1

3
1f1nf1n : t?J§; t ctlHS?J<t3sRn.n6'itrutHS18 [I, 21 ttjru f(x) = x +2x+l '1
I,; II i.J I w

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