Page 103 - Math Grade 12 (Advance)

PROEUS DARA

atnmum: ijbnL'l:1ti5H~~SHfH1lt?'i1:flSt~Utfilb (C) mbH9?l'l:1S y = f(x) '1
1 1
0 eJ r C» tJ t::::Jl eJ 0 e1 ~
tH1Jlts M 'etiJtf:Hlil:flSffi'i.HtH\5 x tsbl56'itblit2Hfilb (C) '1 ffib H dltstrunrutnbtS M
u
1 w 1
C;\lc.l IQ ~ 0 tnc:p tO Q C) tC»
truHlllffi1HtHusb P dltsrtnts~'iHtHl~tlbtiSlntigsb (C) Unbtsrtnts M sbHlllffitinHu '1
tt 1 1 t._; /) .:1 1 li 1
C)J Ql 0 I C:. "':) I
n. tnntlrun:Jrtnrunt9ti1:flStsrtnts P ? ?'irtnSlt'l:l?'irtn~Olti9nHStiSl6'i MP
ct 9 S I 1 t._; <:1
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C» eJ 0 ct C» "':) C»
nbi'Urtnt!::lbl51:flStsrtnts P '1 9lmtihlmm HS~'eS f dltst'etiJtSM'efil~
c::t; 1 ......._, lO ......., 1 GV
1
~r:tl~~fMJbli y' +ay = 0 '1
2. r:~nb nH11l run ftl ru t~OIS lnjj(x)j = -ax+ c
ct
1
~. 9lmtihlmm HS~'eS f Rrtn~r:ru IR nnru f(x) = Ae-ax
........., lJ1 ......., t
dlm~rutsnJ~fil~~r:tl~~tMJbli y'+ay = o '1

ti:fltiJ M(x, f(x)) 2b P(x , 0)
0
r;sng YM-YP = f(x)
XM-XP X-Xo

lc:), ':) I c:::1J
t'l:1~rtflfQ1ti9hltStiSl6'i (MP) ~ f'(x)
1 t._; 4
t?'iOIS j'(x) = f(x) = f(x) (k dluss~n)
X- Xo k W
X
~msg f'(x) = f!Cx) '1

r:i:flru f'(x) = f!Cx) r:sng j'(x)-ff(x) = 0 dlhl~fil~~r:tl~~thlJbli
~msg f(x) ttlm~rutshl~fil~~r:tli~thlJbli y' +ay = 0 ttlru a=-k
'1
1
2. r:mru f'(x) = -kJ(x) r;sng f'(x) = l 15 f'(x) =-a
f(x) k "" f(x)

ti:flru J j'g?dx = Inif(x)i sb J (-adx) = -ax+c r:ti a dlu~strH '1
tlmsg Inif(x)i = -ax+c nbn~Mttlbliftit~bHb~ PH r:u~
u ct L..; n
1
98