Page 26 - Math Grade 12 (Advance)

PROEUS DARA

y dy = f'(x)dx 2@~f15bJ!l dy sb dx tm4m itti11Jfru;p:zt'1
"'-!)
0 • dy !\y
Mmnt : fil ru run At--+ o r; Gn g - ""i\- Wlli5 dx = At
1
(X . X
r:~m~ dr= Ay r:i:1lru i\y = f(x + llx)- f(x)
f(x + i\x) ""f(x) + dy = j(x) + f' (x)dx

~m~g r:m-nmLli dy r:~t5j~MGnn~~L'i5f'Ulru~~ f(x+tLr:) m~ '1

SW1JSW : tTIH9~t5S y = f(x) 1:fl~tti~t1 r:Gng2r:di~tf15Jbl5 dy Rtl.fl~

mb ti:1lli5 dy = f' (x)dx '1

0 I 0 cl ) I ~
f/JffT1fif.U 1: t~1:fl~H~~t5~ y = x~ '1 H1 dy nrhntl x = 1 ~b dx = 0.01 Hs
U I W U

q 2
ut~W: r; thli5 y = f(x) = X
~
~_!.:t
C:::..!-Q.
'
I
tf:l0l8 f (x) = 2x S"W dy = f (x)dx tw ,[15 x = 1 S'W dx = 0.01
dy = f'(l)x(0.01) = 2x(O.OI) = 0.02
ttnru x = 1 sb At = o.o1
2
r:~ms : i\y = f(x+l1x)-f(x) = /(1.01) f(l) = (!.01) -1 2 = 0.0201
i\y--dy = 0.0201-0.02 = 0.0001 '1

WffT1tftfl2: r:Lt52r:d~~ fn5Jrut~t5J~M Gnn!~L'lif'Ul ru!s J1s '1

utflw : mb f(x) = JX ' X = 16 sb i\x = -I
w
1
r:Gflg 15 = l6+l1x r:tnru f(x) = JX t~ms j'(x) = - -
2JX
1 1
dy = f'(x)dx = - -dx = ---(-1) = --0.125
2JX 2JT6
1:\msg Jls""cJ16+dy) = 4-0.125 = 3.875 '1
u

3
n. 5(3.02) - 3(3.02/ ~. sin46° 'i

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