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