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; ′
′
Bila u = f(x) & v = g (x) maka =
2
Bukti:

Gunakan aturan hasil kali terhadap

( ) 1
= f (x). , maka diperoleh
( ) ( )
1
1
D ( ) = [Df (x)] ( ) + f (x) D ( )
( )
′
′
= (x) + f(x) - ( )
( ) ( )
′
= ′( ) + f (x) ( )
( ) [ ( )] 2

= ’( ) ( ) – ( ) ’ ( )
[ ( )] 2
= ( ( )) ( ) – ( ) ( )

[ ( )] 2

CONTOH:

Diketahui h(x) = :1 , x ≠ 1 Tentukan h’(x)
;1
PENYELESAIAN:

2
3
D[(1 − 4 )(3 − 5 + 2)]

h’(x) = :1 ;1 ; ( :1) ( ;1)
2
( ;1)

Matematika Dasar