12.Turunan pertama fungsi f(x) = 4x^5-2x^4+5x³+3x²-5x+6=a. f(x)= 4x⁴-2x³+5x²+3x-5
b. f(x)= 4x⁴-2x³+15x²+6x-5
c. f(x)= 4x⁴-8x³+15x²+6x-5
d. f(x)= 10x⁴-8x³+15x²+6x-5
e. f(x)= 20x⁴-8x³+15x²+6x-5

15.Jika h(x) = (5x³-3x²+4x+6)³. Nilai h'(-1) adalah......

a. 450
b. 900
c. 1800
d. 2700
e. 3600

20.Nilai maksimum fungsi g(x)= 2x³+3x²-12x+10 pada interval -3 <= x <= 2 adalah.....

a. 19
b. 24
c. 30
d. 72
e. 138

tolong bantu jawab

Question

aryabarus · Accepted Answer

12. Dasar berpikir = [tex]ax^{n} =>> n.a.x^{n-1}[/tex]f(x) = 4x^5 - 2x^4 + 5x³ + 3x² - 5x + 6f'(x) = 20x^4 - 8x³ + 15x² + 6x - 5 (E)13. Dasar berpikir = [tex]ax^{n} =>> n.a.x^{n-1}[/tex]h(x) = (5x³-3x²+4x+6)³h'(x) = 3 .(15x² - 6x + 4)  (5x³-3x²+4x+6)²h'(-1) = 3 (15(-1)² - 6(-1) + 4)  (5(-1)³-3(-1)²+4(-1)+6)²h'(-1) = 3 (15+6+4) (-5-3-4+6)²h'(-1) = 3 . 25 . (-6)²h'(-1) = 75 x 36h'(-1) = 2.700 (D)14. g(x) = 2x³+3x²-12x+10 g'(x) = 6x² + 6x - 126x² + 6x - 12 = 06 (x+2)(x-1) = 0x = 1 atau x = -2substistusikan nilai x tersebut ke persamaan g(x)g(1)= 2(1)³+3(1)²-12(1)+10 = 2 + 3 - 12 + 10= 3g(-2)= 2(-2)³+3(-2)²-12(-2)+10 = -16 + 12 + 24 + 10= 20 + 10= 30 (C)

yomemimo.com

Kerjakan soal, tugas, & PR sekolah semakin mudah

12.Turunan pertama fungsi f(x) = 4x^5-2x^4+5x³+3x²-5x+6= a. f(x)= 4x⁴-2x³+5x²+3x-5b. f(x)=

Jawaban dan Penjelasan

12. Dasar berpikir = $ax^{n} =>> n.a.x^{n-1}$

13. Dasar berpikir = $ax^{n} =>> n.a.x^{n-1}$

h(x) = (5x³-3x²+4x+6)³

h'(x) = 3 .(15x² - 6x + 4) (5x³-3x²+4x+6)²

h'(-1) = 3 (15(-1)² - 6(-1) + 4) (5(-1)³-3(-1)²+4(-1)+6)²

h'(-1) = 3 (15+6+4) (-5-3-4+6)²

h'(-1) = 3 . 25 . (-6)²

h'(-1) = 75 x 36

h'(-1) = 2.700 (D)

14. g(x) = 2x³+3x²-12x+10

g'(x) = 6x² + 6x - 12

6x² + 6x - 12 = 0

6 (x+2)(x-1) = 0

x = 1 atau x = -2

substistusikan nilai x tersebut ke persamaan g(x)

g(1)

= 2(1)³+3(1)²-12(1)+10

= 2 + 3 - 12 + 10

= 3

g(-2)

= 2(-2)³+3(-2)²-12(-2)+10

= -16 + 12 + 24 + 10

= 20 + 10

= 30 (C)