TURUNAN DEFERENSIAL Hal 1 Turunan Deferensial DIFFERENTIAL Hal
- Slides: 128
TURUNAN / DEFERENSIAL Hal. : 1 Turunan/ Deferensial
DIFFERENTIAL Hal. : 2 Turunan/ Deferensial
Turunan atau deferensial DEFINISI TURUNAN Hal. : 3 Turunan/ Deferensial Adaptip
DIFFERENTIAL THE DEFINITION OF DIFFERENTIAL Hal. : 4 Turunan/ Deferensial Adaptip
Turunan Fungsi Aljabar RUMUS-RUMUS TURUNAN 1. f ( x ) = k. X n maka 2. f ( x ) = K maka f f ' ( x ) = anx n -1 '( x) = 0 3. f ( x ) = U maka f ' ( x ) = n. U n n -1 U 1 4. f ( x ) = U. V maka f ' ( x ) = U '. V + V '. U U 5. f (x) = maka f ' ( x ) = 2 V V Hal. : 5 Turunan/ Deferensial Adaptip
Deferensial of Algebra Formula Deferensial 1. f ( x ) = k. X n then 2. f ( x ) = K then f ' ( x ) = anx n -1 f '( x) = 0 3. f ( x ) = U then f ' ( x ) = n U n n- U 1 4. f ( x ) = U. V then f ' ( x ) = U '. V + V '. U U 5. f (x) = then f ' ( x ) = 2 V V Hal. : 6 Turunan/ Deferensial Adaptip
Turunan Atau Deferensial Soal ke-1 2 Jika f(x) = 3 x + 4 maka nilai dari f 1(x) yang mungkin adalah …. A. 3 x B. 6 x Hal. : 7 C. 9 x 2 D. 10 x E. 12 x 2 2 Turunan/ Deferensial Adaptip
DIFFERENTIAL Exercise 1 2 If f(x) = 3 x + 4 then possible value of of f 1(x) is …. A. 3 x B. 6 x Hal. : 8 C. 9 x 2 D. 10 x E. 12 x 2 2 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan f(x) 2 = 3 x + 4 1 f (x) = 6 x Hal. : 9 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion f(x) 2 = 3 x + 4 1 f (x) = 6 x Hal. : 10 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Jawaban soal ke-1 Jika f(x) = 3 x 2 + 4 maka nilai f 1(x) yang mungkin adalah …. A. 3 x C. 9 x 2 B. 6 x D. 10 x 2 Hal. : 11 Turunan/ Deferensial E. 12 x 2 Adaptip
DIFFERENTIAL If f(x) = 3 x 2 + 4 then the possible 1 value of f (x) is …. A. 3 x C. 9 x 2 B. 6 x D. 10 x 2 Hal. : 12 Turunan/ Deferensial E. 12 x 2 Adaptip
Turunan atau deferensial Soal ke-2 Nilai turunan pertama dari: f(x) = 2(x)2 + 12 x 2 – 8 x + 4 adalah … A. x 2 – 8 x + 5 2 B. 2 x – 24 x – 2 D. 6 x 2 + 24 x + 8 2 E. 6 x + 24 x – 8 2 C. 2 x + 24 x – 1 Hal. : 13 Turunan/ Deferensial Adaptip
DIFFERENTIAL Exercise 2 The first differential value of: f(x) = 2(x)2 + 12 x 2 – 8 x + 4 is … A. x 2 – 8 x + 5 2 B. 2 x – 24 x – 2 D. 6 x 2 + 24 x + 8 2 E. 6 x + 24 x – 8 2 C. 2 x + 24 x – 1 Hal. : 14 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan f(x) 1 f (x) Hal. : 15 3 3 = 2 x + 12 x – 8 x + 4 2 = 6 x + 24 x – 8 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion f(x) 1 f (x) Hal. : 16 3 3 = 2 x + 12 x – 8 x + 4 2 = 6 x + 24 x – 8 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Jawaban soal ke-2 Nilai turunan pertama dari: f(x) = 2(x)2 + 12 x 2 – 8 x + 4 adalah … A. x 2 – 8 x + 5 2 B. 2 x – 24 x – 2 D. 6 x 2 + 24 x + 8 2 E. 6 x + 24 x – 8 2 C. 2 x + 24 x – 1 Hal. : 17 Turunan/ Deferensial Adaptip
DIFFERENTIAL The answer of number 2 The first differential of: f(x) = 2(x)2 + 12 x 2 – 8 x + 4 is … A. x 2 – 8 x + 5 2 B. 2 x – 24 x – 2 D. 6 x 2 + 24 x + 8 2 E. 6 x + 24 x – 8 2 C. 2 x + 24 x – 1 Hal. : 18 Turunan/ Deferensial Adaptip
Turunan dan Deferensial Soal ke-3 Turunan ke- 1 dari f(x) = (3 x-2)(4 x+1) adalah … A. 24 x + 5 D. 12 x – 5 B. 24 x – 5 E. 12 x – 10 C. 12 x + 5 Hal. : 19 Turunan/ Deferensial Adaptip
DIFFERENTIAL Exercise 3 The first differential of f(x) = (3 x 2)(4 x+1) Is … A. 24 x + 5 D. 12 x – 5 B. 24 x – 5 E. 12 x – 10 C. 12 x + 5 Hal. : 20 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan f(x) 1 = (3 x-2)(4 x+1) 2 f (x) = 12 x + 3 x – 8 x – 2 f(x) 2 = 12 x – 5 x – 2 1 f (x) = 24 x – 5 Hal. : 21 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion f(x) 1 = (3 x-2)(4 x+1) 2 f (x) = 12 x + 3 x – 8 x – 2 f(x) 2 = 12 x – 5 x – 2 1 f (x) = 24 x – 5 Hal. : 22 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Jawaban soal ke-3 Turunan ke- 1 dari f(x) = (3 x-2)(4 x+1) adalah … A. 24 x + 5 D. 12 x – 5 B. 24 x – 5 E. 12 x – 10 C. 12 x + 5 Hal. : 23 Turunan/ Deferensial Adaptip
DIFFERENTIAL The answer of number 3 The first differential of f(x) = (3 x 2)(4 x+1) is … A. 24 x + 5 D. 12 x – 5 B. 24 x – 5 E. 12 x – 10 C. 12 x + 5 Hal. : 24 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Soal ke- 4 Hal. : 25 Turunan/ Deferensial Adaptip
DIFFERENTIAL Exercise 4 Hal. : 26 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan Hal. : 27 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion Hal. : 28 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Jawaban Soal ke- 4 Hal. : 29 Turunan/ Deferensial Adaptip
DIFFERENTIAL The answer of number 4 Hal. : 30 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Soal ke- 5 6 + 3 adalah. . . Turunan ke - 1 dari y = x A. 3 x B. 3 x 2 Hal. : 31 C. 3 x + 2 D. 3 x 2 + 3 Turunan/ Deferensial E. 3 x - 1 Adaptip
DIFFERENTIAL Exercise 5 Hal. : 32 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan Hal. : 33 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion Hal. : 34 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Jawaban Soal ke- 5 Hal. : 35 Turunan/ Deferensial Adaptip
DIFFERENTIAL The answer of number 5 Hal. : 36 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Soal ke- 6 jika f(x) = (2 x – 1)3 maka nilai dari f 1(x) adalah … A. 12 x 2 – 3 x + 12 D. 24 x 2 – 12 x + 6 B. 12 x 2 – 6 x – 3 E. 24 x 2 – 24 x + 6 C. 12 x 2 – 6 x + 3 Hal. : 37 Turunan/ Deferensial Adaptip
DIFFERENTIAL Exercise 6 If f(x) = (2 x – 1)3 then value of f 1(x) is … A. 12 x 2 – 3 x + 12 D. 24 x 2 – 12 x + 6 B. 12 x 2 – 6 x – 3 E. 24 x 2 – 24 x + 6 C. 12 x 2 – 6 x + 3 Hal. : 38 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan f(x) = (2 x – 1)3 f 1(x) = 3(2 x – 1)2 (2) f 1(x) = 6(2 x – 1)2 f 1(x) = 6(2 x – 1) f 1(x) = 6(4 x 2 – 4 x+1) f 1(x) = 24 x 2 – 24 x + 6 Hal. : 39 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion f(x) = (2 x – 1)3 f 1(x) = 3(2 x – 1)2 (2) f 1(x) = 6(2 x – 1)2 f 1(x) = 6(2 x – 1) f 1(x) = 6(4 x 2 – 4 x+1) f 1(x) = 24 x 2 – 24 x + 6 Hal. : 40 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Jawaban Soal ke- 6 jika f(x) = (2 x – 1)3 maka nilai dari 1 f (x) adalah … A. 12 x 2 – 3 x + 12 D. 24 x 2 – 12 x + 6 B. 12 x 2 – 6 x – 3 E. 24 x 2 – 24 x + 6 C. 12 x 2 – 6 x + 3 Hal. : 41 Turunan/ Deferensial Adaptip
DIFFERENTIAL The answer of number 6 If f(x) = (2 x – 1)3 then value of f 1(x) is … A. 12 x 2 – 3 x + 12 D. 24 x 2 – 12 x + 6 B. 12 x 2 – 6 x – 3 E. 24 x 2 – 24 x + 6 C. 12 x 2 – 6 x + 3 Hal. : 42 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Soal ke- 7 Turunan pertama dari f(x) = (5 x 2 – 1)2 adalah … A. 20 x 3 – 20 x D. 5 x 4 – 10 x 2 + 1 B. 100 x 3 – 10 x E. 25 x 4 – 10 x 2 + 1 C. 100 x 3 – 20 x Hal. : 43 Turunan/ Deferensial Adaptip
DIFFERENTIAL Exercise 7 The first differential of f(x) = (5 x 2 – 1)2 is… A. 20 x 3 – 20 x D. 5 x 4 – 10 x 2 + 1 B. 100 x 3 – 10 x E. 25 x 4 – 10 x 2 + 1 C. 100 x 3 – 20 x Hal. : 44 Turunan/ Deferensial Adaptip
Pembahasan 2 f(x) = (5 x – 1) 3 f 1(x) = 2(5 x 2 – 1) (10 x) f 1(x) = 20 x (5 x 2 – 1) 1 3 f (x) = 100 x – 20 x Hal. : 45 Turunan/ Deferensial Adaptip
Discussion 2 f(x) = (5 x – 1) 3 f 1(x) = 2(5 x 2 – 1) (10 x) f 1(x) = 20 x (5 x 2 – 1) 1 3 f (x) = 100 x – 20 x Hal. : 46 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Jawaban Soal ke- 7 Turunan pertama dari f(x) = (5 x 2 – 1)2 adalah … A. 20 x 3 – 20 x D. 5 x 4 – 10 x 2 + 1 B. 100 x 3 – 10 x E. 25 x 4 – 10 x 2 + 1 C. 100 x 3 – 20 x Hal. : 47 Turunan/ Deferensial Adaptip
DIFFERENTIAL The answer of number 7 The first differential of f(x) = (5 x 2 – 1)2 is … A. 20 x 3 – 20 x D. 5 x 4 – 10 x 2 + 1 B. 100 x 3 – 10 x E. 25 x 4 – 10 x 2 + 1 C. 100 x 3 – 20 x Hal. : 48 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Soal ke- 8 Hal. : 49 Turunan/ Deferensial Adaptip
DIFFERENTIAL Exercise 8 Hal. : 50 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan Hal. : 51 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion Hal. : 52 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Jawaban Soal ke- 8 Hal. : 53 Turunan/ Deferensial Adaptip
DIFFERENTIAL The answer of number 8 Hal. : 54 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Soal ke- 9 Turunan pertama dari 2 f(x) = (3 x – 6 x) (x + 2) adalah … 2 2 A. 3 x – 12 D. 9 x – 12 B. 6 x 2 – 12 E. 9 x 2 + 12 2 C. 6 x + 12 Hal. : 55 Turunan/ Deferensial Adaptip
DIFFERENTIAL Exercise 9 The first differential of 2 f(x) = (3 x – 6 x) (x + 2) is … 2 2 A. 3 x – 12 D. 9 x – 12 B. 6 x 2 – 12 E. 9 x 2 + 12 2 C. 6 x + 12 Hal. : 56 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan f(x) = (3 x 2 – 6 x) (x + 2) Cara 1: Madalahal : U 2 = 3 x – 6 x U 1 = 6 x – 6 V =x+2 V 1 = 1 Hal. : 57 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion f(x) = (3 x 2 – 6 x) (x + 2) The first way: Madalahal : U 2 = 3 x – 6 x U 1 = 6 x – 6 V =x+2 V 1 = 1 Hal. : 58 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan Sehingga: 1 2 f (x) = (6 x – 6)(x+2)+(3 x +6 x). 1 f 1(x)= 6 x 2+12 x – 6 x – 12+3 x 2 – 6 x 1 2 f (x)= 9 x – 12 Hal. : 59 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion Then: 1 2 f (x) = (6 x – 6)(x+2)+(3 x +6 x). 1 f 1(x)= 6 x 2+12 x – 6 x – 12+3 x 2 – 6 x 1 2 f (x)= 9 x – 12 Hal. : 60 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan f(x) = (3 x 2 – 6 x) (x + 2) Cara 2: 1 -3 2 3 f (x) = 3 x +6 x – 12 x f 1(x)= 9 x 2+12 x – 12 1 2 f (x)= 9 x – 12 Hal. : 61 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion f(x) = (3 x 2 – 6 x) (x + 2) The second way: 1 -3 2 3 f (x) = 3 x +6 x – 12 x f 1(x)= 9 x 2+12 x – 12 1 2 f (x)= 9 x – 12 Hal. : 62 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Jawaban Soal ke- 9 Turunan pertama dari 2 f(x) = (3 x – 6 x) (x + 2) adalah … 2 2 A. 3 x – 12 D. 9 x – 12 B. 6 x 2 – 12 E. 9 x 2 + 12 2 C. 6 x + 12 Hal. : 63 Turunan/ Deferensial Adaptip
DIFFERENTIAL The answer of number 9 The first differential of 2 f(x) = (3 x – 6 x) (x + 2) is … 2 2 A. 3 x – 12 D. 9 x – 12 B. 6 x 2 – 12 E. 9 x 2 + 12 2 C. 6 x + 12 Hal. : 64 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Soal ke- 10 Hal. : 65 Turunan/ Deferensial Adaptip
DIFFERENTIAL Exercise 10 Hal. : 66 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan Hal. : 67 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion Hal. : 68 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan Hal. : 69 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion Hal. : 70 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan Hal. : 71 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion Hal. : 72 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Jawaban Soal ke- 10 Hal. : 73 Turunan/ Deferensial Adaptip
DIFFERENTIAL The answer of number 10 Hal. : 74 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Soal ke- 11 Hal. : 75 Turunan/ Deferensial Adaptip
DIFFERENTIAL Exercise 11 Hal. : 76 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan 2 f(x) = 3 x – 4 x + 6 1 f (x) = 6 x – 4 jika f 1(x) =4 Hal. : 77 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion 2 f(x) = 3 x – 4 x + 6 1 f (x) = 6 x – 4 if f 1(x) =4 Hal. : 78 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan Hal. : 79 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion Hal. : 80 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Jawaban Soal ke- 11 Hal. : 81 Turunan/ Deferensial Adaptip
DIFFERENTIAL The answer of number 11 Hal. : 82 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Soal ke- 12 Diketahui f(x) = 5 x 2+3 x+7. nilai dari 1 f (-2) adalah …. A. -29 D. -7 B. -27 E. 7 C. -17 Hal. : 83 Turunan/ Deferensial Adaptip
DIFFERENTIAL Exercise 12 Let f(x) = 5 x 2+3 x+7. the value of f 1(-2) is …. A. -29 D. -7 B. -27 E. 7 C. -17 Hal. : 84 Turunan/ Deferensial Adaptip
Turunan atau deferensial Pembahasan f(x) = 5 x 2 – 3 x + 7 f 1(x) = 10 x – 3 maka untuk f 1(-2) adalah… f 1(-2) = 10(-2)+3 f 1(-2) = -20+3 f 1(-2) = -17 Hal. : 85 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion f(x) = 5 x 2 – 3 x + 7 f 1(x) = 10 x – 3 then for f 1(-2) is… f 1(-2) = 10(-2)+3 f 1(-2) = -20+3 f 1(-2) = -17 Hal. : 86 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Jawaban Soal ke- 12 Diketahui f(x) = 5 x 2+3 x+7. nilai dari f 1( -2) adalah …. A. -29 D. -7 B. -27 E. 7 C. -17 Hal. : 87 Turunan/ Deferensial Adaptip
DIFFERENTIAL The answer of number 12 Let f(x) = 5 x 2+3 x+7. value of f 1(-2) is…. A. -29 D. -7 B. -27 E. 7 C. -17 Hal. : 88 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Soal ke- 13 Hal. : 89 Turunan/ Deferensial Adaptip
DIFFERENTIAL Exercise 13 Hal. : 90 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan Hal. : 91 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion Hal. : 92 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan Hal. : 93 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion Hal. : 94 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Jawaban soal ke-13 Hal. : 95 Turunan/ Deferensial Adaptip
DIFFERENTIAL The answer of number 13 Hal. : 96 Turunan/ Deferensial Adaptip
Turunan atau deferensial Soal ke- 14 Hal. : 97 Turunan/ Deferensial Adaptip
DIFFERENTIAL Exercise 14 Hal. : 98 Turunan/ Deferensial Adaptip
Turunan atau deferensial Pembahasan Hal. : 99 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion Hal. : 100 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Jawaban Soal ke- 14 Hal. : 101 Turunan/ Deferensial Adaptip
DIFFERENTIAL The answer of number 14 Hal. : 102 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Soal ke- 15 Hal. : 103 Turunan/ Deferensial Adaptip
DIFFERENTIAL Exercise 5 Hal. : 104 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan Hal. : 105 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion Hal. : 106 Turunan/ Deferensial Adaptip
Turunan atau deferensial Pembahasan Hal. : 107 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion Hal. : 108 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Jawaban Soal ke- 15 Hal. : 109 Turunan/ Deferensial Adaptip
DIFFERENTIAL The answer of number 15 Let f(x) = 6 x 2 - 3 x + 1 for f 1( 1 ) 2 then the possible value of x is. . . 1 A. 3 2 B. 3 Hal. : 110 C. 1 4 D. 3 Turunan/ Deferensial 5 E. 3 Adaptip
Turunan atau deferensial Soal ke- 16 Hal. : 111 Turunan/ Deferensial Adaptip
DIFFERENTIAL Exercise 16 Hal. : 112 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan Hal. : 113 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion Hal. : 114 Turunan/ Deferensial Adaptip
Turunan atau defernsial Pembahasan Hal. : 115 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion Hal. : 116 Turunan/ Deferensial Adaptip
Turunan atau deferensial Jawaban Soal ke- 16 Hal. : 117 Turunan/ Deferensial Adaptip
DIFFERENTIAL The answer of number 16 Hal. : 118 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Soal ke-17 Hal. : 119 Turunan/ Deferensial Adaptip
DIFFERENTIAL Exercise 17 Hal. : 120 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan Hal. : 121 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion Hal. : 122 Turunan/ Deferensial Adaptip
Turunan atau Deferensial Pembahasan Hal. : 123 Turunan/ Deferensial Adaptip
DIFFERENTIAL Discussion Hal. : 124 Turunan/ Deferensial Adaptip
Turunan atau deferensial Jawaban Soal ke- 17 Hal. : 125 Turunan/ Deferensial Adaptip
DIFFERENTIAL The answer of number 17 Hal. : 126 Turunan/ Deferensial Adaptip
SELAMAT BELAJAR Hal. : 127 Turunan/ Deferensial Adaptip
Good luck Hal. : 128 Turunan/ Deferensial Adaptip
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