Page 232 - Math Grade 12 (Basic)

PROEUS DARA

4 4
_ -4xy - 8x y '1
- 6
y
2 3
,
u..,re>o
'i:Jl:lbi"'O y = 2x 2 3J.o y" = ----"--""--::----'- _ -4x(/ + 2x ) " I
5
1'3\.J
-
y y
2 2
fi. tfi'i:flS x +xy+y = -1
2
2x+ y+ +2yy' = 0 N'i:fiH15 y' =- x+y
u x+2y
tfi(flS 2 + y' + y' + xy" + 2y'y' + 2yy" = 0
_ 2 + (2x + Y) 2(2x+y)2
2
2 2y'-2(y') = 2 x+2y x+2y
=
x + 2y x+

3
lli. tfi'i:fl2 x + 2xy

2
3 2
3/ + 2y + 2xy' 2yy' = 0 N'i:mrn y' - - x - Y
u - 2x 2y
&fiQlS 6x + 2y' + 2y' + 2xy"- 2y'y' 2yy" = 0

4 2 2 2
= 18x +48xy 8y -24xy +16xy '1
3
8(x- y)
2
2
2
4
2
2
E:imsg y' = - 3 x + Y sh = 18x +48x y-8y -24xy + 16xy
u 2x-2y 3
8(x-y)
J.o. 3 3
'W. &fi'i:flS x + y = 3xy
2
3 3
tffh1HiHnbrb &fiQlS 3i+3ii = 3y+3xy' rn y' = Y- x
1'1 2
3y 3x
tfiQlS 6x + 6yy'y' + 3/y'' = 3y' + 3y' + 3xy"
2
_ 6y' 6x- 6y(y')
2
3y -3x