Page 24 - E-MODULE TURUNAN FUNGSI ALJABAR

E-MODULE Kelas XI
e

KUNCI JAWABAN LATIHAN

1. = ( + 1)( − 1) ℎ = + +
2
′
4
3
2
?
Jawab
= ( + 1)( − 1)
2
3
= + − − 1
5
3
2
2
′
′
2
4
= 5 + 3 − 2 ↔ = + +
4
Maka = 5 ; b = 3; c = -2

2
2. ( ) = (3 − 1) turunan pertama adalah
3
Misalkan = = 2
′
2
= (3 − 1) = 3(3 − 1) (3) = 9(3 − 1)
2
2
′
3
Maka ( ) = . + . ′
′
′
′
2
2
( ) = 2 (3 − 1) + (9(3 − 1) )
3
( ) = 2 (3 − 1) + 9 (3 − 1) )
′
3
2
2
2
( ) = (3 − 1) (2 (3 − 1) + 9 )
2
′
( ) = (3 − 1) (6 − 2 + 9 )
2
2
′
2
′
2
( ) = (3 − 1) (15 − 2 )
2
( ) = (15 − 2 )(3 − 1)
2
′
2

3. ( ) = 2 − 5 + 1
3
(2) = ⋯ ?
′
Jawab
2
′( ) = 6 − 5
2
′(2) = 6(2) − 5
′(2) = 6.4 − 5

′(2) = 24 − 5 ↔ ′(2) = 19

17 | T u r u n a n F u n g s i A l j a b a r