Page 44 - Math Grade 12 (Advance)

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n. ~nn qpHHS f'(x) mm glf:l'li x E [-·1, 2]
2
1
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2. 'liblmrtuhmg'if:JU xE [-1, 2] tf:lQlS ~x+~:s;Jx+2::;;-x+~ '1
tn'-' G 4 2
9. tf:l§jHqf:l'iH~ f RMrinli [o, ~ ) ttiru f(x) = tanx '1 'li~fJ)GtmgLf:JUU~Snn a
"'J.. " 1t b-a b-a
Sw b ttiru O:s;a<b<- tf:lQlS - -:s;tanb-tana:s;--zb '1
2
2 cos a cos
10. tf:l§jHqm~s f RM~trum~g I '1 'Lutj~'li9aru ( tUHlu) anLf:JUnt~ c Qb
1
tHS'H 1 ttiru J'(c) = o % --.
GV
n. j(x) = i-4x , CE (-2, 2) 2. f(x) = (x-l)(x-2)(x-3) cE (I, 3)

2
2 3 i-1
R. j(x) =X - X- , CE (-1, 3) lli. j(x) = -- , CE (-1, 1)
x+2 X
b. f(x) = sin2x , c E (~. ~) u. f(x) = ~-sin~x , cE (-1, 0) '1

11. tf:l§jH~f:l'i§S t RMritruuc~g 1 '1 'Llitj~'li9nt~'i§qJ'i§ ~nEJ'lin'f~ cE (a, h) ttlru
f'(c) = f(b)- f(a) ~
b-a

2 2
n. j(x) =X CE(-2, 1) 2. f(x) = x(x -x-2) , CE (-1, I)
3
f:l. f(x) = x c E (0, I)
12. hltn'iffHudrnnt1H:ll~:m9~u'inSu'i§li5 mscrrunru'ilfiRhlmnb 1 tGhl'itflUdrnnhl'i:m:
G .n i.-Jl.J u l.J 1" .,L.J .n
u 1
2
x 'L~bttiru~ffl'i§H~f:l'i§S C(x) = 2400+28x+0.02x ~nctlm2dJru '1
n. RM~tmficrrunruhl;'liqbm~drnnhl~fU: 10 'L~b 20 'L~bsb 30 'EJ]b '1

2. ihs~sn&~L'littnru&stmficrrunruqbm~drnnhl1fJJ:tLI:l]b9 II 'EJ]b9 21 sb

'L~b'9 31 '1
13. tflbrJ'i§tlfiH1'i§9hl'iSl1lj'i§ru mscrrunruhlmnb 1 t2hl'itf1Utmg,rJ1~9hl'iSl~ljn X r;nu
1n 1n li nu 1 " l.J .. li IJ"
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ttiru~'iffl'i§HSI:l'i§S C(x) = o.oooii+x+465 ~nctlmsrflru ttflrutnbrJ'i§LfiSrufi
u 1 'J 1!1

mm1m9hl'iSl1lj l unu'fu P = D(x) = 4-0.0002x mst{)ru '1
"'-' "'-' li n IJ · <v

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