Page 158 - Math Grade 11 (Basic)

PROEUS DARA

2 2
= 2x(3x +x)+(x -2)(6x+ I)

3 2
y' = 12x + 3x - 12x- 2
3 2
y'(O) = 12 X 0 + 3 X 0 - 12 X 0-2 = -2 '1

"" , d 2 3
~. ~Hl.llSl y' 2h y(l) [2~2f:l'e2 y = (x -x+ l)(x· -1) '1
1
- G[mgdru&'unt2~2f:l'eS : y = f(x)
1 g(x)
[f:lfflh F(x) = f(x)
g(x)
[f:1Q12 F(x +h)- F(x) = f(x +h)- f(x)
g(x+h) g(x)
_ f(x+h)·g(x)-f(x)·g(x+h)
- g(x+h)·g(x)
_ f(x +h)· g(x)- f(x) · g(x) + f(x) · g(x)- f(x)g(x +h)
- g(x+h)·g(x)
_ [!(x +h)- f(x)]g(x)- [g(x +h)- g(x)]f(x)
- g(x+h)·g(x)
_
y' = imF _,__( x_+_h )_-_F-'-( x-'-)
1 7
h ->0 h
lim f(x +h)- f(x). g(x)- lim f(x). g(x +h)- g(x)
h-->0 h h->0 h
= ~~------~--~~~~----------
lim g(x +h)· g(x)
h-->0
y' = f'(x) · g(x) f(x) · g'(x)
2
(g(x))

tti Y = f(x) y' = f'(x) · g(x)- f(x) · g'(x) "" m g(x) .. o
g(x) (g(x)) 2

., , d
f:lrulSl[!::lHHs~~f:l-es~b[Lf'il'e :
""
n. y = - 1 [tflliHn QJ ~ n y' ( -4) '1
X
2
~. y = X + 1
X-
= (l-x)(2x + 1)
f:l. Y [tfl ru9l man y'(O) '1
3x-2 '""'..!>
,_(l)'x-(l)(x)'_ 1 1 1
n. y - - - , y' ( -4) = - --- = - - '1
2 2 2
X X (-4) 16