Presentation is loading. Please wait.

Presentation is loading. Please wait.

TURUNAN/ DIFERENSIAL. RUMUS-RUMUS TURUNAN 1. 2. Untuk u dan v suatu fungsi,c bilangan Real dan n bilangan Rasional berlaku –y = u ± v → y’ = v’ ± u’ –y.

Similar presentations


Presentation on theme: "TURUNAN/ DIFERENSIAL. RUMUS-RUMUS TURUNAN 1. 2. Untuk u dan v suatu fungsi,c bilangan Real dan n bilangan Rasional berlaku –y = u ± v → y’ = v’ ± u’ –y."— Presentation transcript:

1 TURUNAN/ DIFERENSIAL

2 RUMUS-RUMUS TURUNAN Untuk u dan v suatu fungsi,c bilangan Real dan n bilangan Rasional berlaku –y = u ± v → y’ = v’ ± u’ –y = c.u → y’ = c.u’ –y = u.v → y’ = u’ v + u.v’

3 Pembahasan f(x) = 3x f 1 (x) = 6x

4 Pembahasan f(x) = 2x x 3 – 8x + 4 f 1 (x) = 6x x – 8

5 Pembahasan f(x) = (3x-2)(4x+1) f 1 (x) = 12x 2 + 3x – 8x – 2 f(x)= 12x 2 – 5x – 2 f 1 (x) = 24x – 5

6 Pembahasan

7 Pembahasan

8 f(x) = (2x – 1) 3 f 1 (x) = 3(2x – 1) 2 (2) f 1 (x) = 6(2x – 1) 2 f 1 (x) = 6(2x – 1)(2x – 1) f 1 (x) = 6(4x 2 – 4x+1) f 1 (x) = 24x 2 – 24x + 6

9 Pembahasan f(x) = (5x 2 – 1) 3 f 1 (x) = 2(5x 2 – 1) (10x) f 1 (x) = 20x (5x 2 – 1) f 1 (x) = 100x 3 – 20x

10 Pembahasan

11 f(x) = (3x 2 – 6x) (x + 2) Cara 1: Misal: U = 3x 2 – 6x U 1 = 6x – 6 V = x + 2 V 1 = 1

12 Pembahasan Sehingga: f 1 (x) = (6x – 6)(x+2)+(3x 2 +6x).1 f 1 (x)=6x 2 +12x – 6x – 12+3x 2 – 6x f 1 (x)=9x 2 – 12

13 Pembahasan f(x) = (3x 2 – 6x) (x + 2) Cara 2: f 1 (x) =3x -3 +6x 2 – 6x 3 – 12x f 1 (x)=9x 2 +12x –12x – 12 f 1 (x)=9x 2 – 12

14 Pembahasan

15

16

17 f(x) = 3x 2 – 4x + 6 f 1 (x) = 6x – 4  Jika f 1 (x) =4

18 Pembahasan

19 f(x) = 5x 2 – 3x + 7 f 1 (x) = 10x – 3 Maka untuk f 1 (-2) adalah… f 1 (-2) = 10(-2)+3 f 1 (-2) = f 1 (-2) = -17

20 Pembahasan

21

22

23

24

25

26

27

28


Download ppt "TURUNAN/ DIFERENSIAL. RUMUS-RUMUS TURUNAN 1. 2. Untuk u dan v suatu fungsi,c bilangan Real dan n bilangan Rasional berlaku –y = u ± v → y’ = v’ ± u’ –y."

Similar presentations


Ads by Google