Page 19 - TUTORIAL MATEMATIKA IPA KELAS XI-2

TURUNAN FUNGSI ALJABAR

SOAL – SOAL LATIHAN
1. ( ) = 2 + 3 , lim ( + )− ( ) = ⋯
→0
2
2. ( ) = 2 , lim ( +ℎ)− ( ) = ⋯
ℎ→0 ℎ
3
2
4
3. ( ) = − 3 + 2 + 25 − 50 , ( ) = ⋯
′
5
′
2
4
4. ( ) = 7 − 11 + 25 − 101, ( ) = ⋯
2
′
5. ( ) = 1 + 5 − + 1 , ( ) = ⋯
4 2
√
√
′
6. ( ) = 3 3 √ 3 √3 , ( ) = ⋯
7. (2 − 2) = + 3 − 5, ( ) = ⋯
2
′
7
3
2
′
8. ( ) = 2( − 4 + 3 − 10) , ( ) = ⋯
2
5
′
9. ℎ( ) = −(42 − 11 ) , ℎ ( ) = ⋯
2
1 1 3
10. = ( 3 − 3) , = ⋯

′
5 3
3
11. ( ) = (5 + (2 − 3) ) , ( ) = ⋯
3 2 5
4
2
′
12. ( ) = (((2 + 3 ) − (5 + 3) ) ) , ( ) = ⋯
′
13. ( ) = √ 2 + √2 , ( ) = ⋯
3
′
2 7
2
14. ( ) = (2 − 7 ) . √(4 + 3) , ( ) = ⋯
2
4
′
15. ( ) = (2 − 1)(2 + 1)(4 + 1)(16 + 1) , ( ) = ⋯
( −5) 3
′
16. ( ) = , ( ) = ⋯
2 2
(3 −1) 4
17. = √ + 5 , = ⋯
(2− ) 3
2
(3− ) .(3 +1) 3
18. = 3 , = ⋯
√4 2
− ′
19. ( ) = , (1) = 1 , (1) = 2, (2) = ⋯
−
′
′
20. ( ) = ( o )( ), (0) = 0, (0) = 2 , (0) = ⋯
′
′
′
′
21. (2) = (4) = (2) = (4) = 2 , (2) = (4) = (2) = (4) = 4,
′
ℎ( ) = ( ( )) , ℎ (4) = ⋯
′
′
22. (0) = 1, (0) = 2, ( ) = 1 , (0) = ⋯
(2 ( )−1) 3
′

2 ′
2
′
′
′
23. (2) = 3 , (2) = 4 , ( . ) (2) = 11, ( + ) (2) = 20, ( ) (2) = ⋯

2
′
′
′
24. ( ). ( ) = − 3 , (1) = 2, (1) = (1) , (1) = (1) , (1) = ⋯
′
2
′
25. ( ) = ( + 2) , (1) = 2 , (3) = ⋯
26.
6 u(x)

4 v(x)

3 6
′
( ) = ( ). ( ) , (5) = ⋯
‘LEARNING IS FUN’ 18