if f'(x) is the first derivative of f(x) x^2(2x-1)^3, the value of f'(1) =... a.2 b.6 c.8 d.10 e.14 pakai cara yaaa
Matematika
Alfarisyi1
Pertanyaan
if f'(x) is the first derivative of f(x) x^2(2x-1)^3, the value of f'(1) =...
a.2 b.6 c.8 d.10 e.14
pakai cara yaaa
a.2 b.6 c.8 d.10 e.14
pakai cara yaaa
1 Jawaban
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1. Jawaban NInja1cak
u = x^2 v = (2x-1)^3
u' = 2x v' = 6(2x-1)^2
f'(1) = u' . v + u . v'
= 2x . (2x-1)^3 + x^2 . 6(2x-1)^2
= 2.1 (2.1-1)^3 + 1^2 . 6(2.1-1)^2
= 2 . 1 + 1 . 6
= 8 C