I. F(x) = (x³+x) . (x+2)carilah turunan pertama…di bantu​

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I. F(x) = (x³+x) . (x+2)carilah turunan pertama…di bantu​

f(x) = (x³ + x) (x + 2) = u . v

u' = 3x² + 1

v' = 1

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

f'(x) = (3x² + 1) (x + 2) + 1 (x³ + x)

f'(x) = 3x³ + 6x² + x + 2 + x³ + x

f'(x) = 4x³ + 6x² + 2x + 2

Penyelesaian:

f (x) = (x^3 + x) (x + 2)

f (x) = x^4 + 2x^3 + x^2 + 2x

f'(x) = 4.x^3 + 3.2x^2 + 2.x + 2

f'(x) = 4x^3 + 6x^2 + 2x + 2

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Detil Jawaban

Kelas: 11

Mapel: Matematika

Bab: Turunan Fungsi Aljabar

Kode: 11.2.9

Kata Kunci: Turunan pertama