Turunan pertama fungsi f(x) = (2x+3)(3x-1) adalah f'(x) = …

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a. 12x^3 + 7x^2 – 3x
b 6x^2 + 7x – 3
c. 12x + 7
d. 12x + 11
e. 6x + 11

pake cara yaa, terimakasih…

Turunan pertama fungsi f(x) = (2x+3)(3x-1) adalah f'(x) = …

f(x) = (2x + 3) (3x – 1) = u . v

u' = 2(1) x^0 + 0 = 2

v' = 3(1) x^0 – 0 = 3

f'(x) = u' . v + v' . u

f'(x) = 2(3x – 1) + 3(2x + 3)

f'(x) = 6x – 2 + 6x + 9

f'(x) = 12x + 7

[ C ]

Penyelesaian:

f (x) = (2x + 3) (3x – 1)

f (x) = 6x^2 – 2x + 9x – 3

f (x) = 6x^2 + 7x – 3

f'(x) = 12x + 7

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Detil Jawaban

Kelas: 11

Mapel: Matematika

Bab: Turunan Fungsi Aljabar

Kode: 11.2.9

Kata Kunci: Turunan pertama