Page 231 - Math Grade 12 (Basic)

PROEUS DARA

2
6. n. y = 3x sin2x ill. g(x) =
x+
2
x + 2x
I( )
1
Y = 6x- 2cosx g X = ---
(x + 1
= 6 + 4sin2x g" (x) = _2---:::
+ 1)3

4
7. ill. x+ siny = xy U. (/)' = ( sin2x + cos 2x)
3
+ siny) = (xy) 1 2yy = 8cos32x- 8sin 2x
1
1
3
3
1
I + y' cosy = y + xy' YY = 4(cos 2x- sin 2x)
1-
yl = ---=-- y = 4(cos32x-sin32x)
1
X- cosy y
.e:::-. er~ c:r.
8. an y' stl y" ttU.HH:115Sts x stl y
l
2 2
n. tl'!l'l::flS 2x + y = 4
, o, d 2 2 d
tf::lHlH~!lltl m tl'!lQlS d)2x + y ) = d) 4]
d 2 d 2
d)2x ) + d)Y ) = 0
2x
1
4x + 2yy' = 0 =:> Y =
y
1
~l'!lQlS 4 + 2y y' + 2yy" = 0
2
2
1 2 - - (- ¥) -2/-4i
II
-4 2(y )
y = =
2y y - l
2
f:HH S g y = - x ~ tl y" = -----,,..--''-
1
u y
3 3
~- tl'!l'l::flS 2x + y = 8
"" o.., d 3 3d
ti':1HlH~mtlm tl'!lQlS d)2x + y) = d)8]
2
2
6x + 3/yl = 0 Ml5~ru Y = - ~
2
1
y
1
1
tl'!lQlS 12x + 6yy y' + 3/y' = 0