Tentukan turunan fungsi f(x)=(x^2-16) (x^2-3x+2)
Matematika
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Pertanyaan
Tentukan turunan fungsi f(x)=(x^2-16) (x^2-3x+2)
2 Jawaban
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1. Jawaban LuckyJennie
f(x) = u.v
f'(x) = u'v+v'u
u = x^2-16 v = x^2-3x+2
u' = 2x v' = 2x-3
f'(x) = 2x(x^2-3x+2) + 2x-3(x^2-16)
= 2x^4-6x^2+4x+2x^4-32x-3x^2+48
= 8x^4-9x^2-28x+48 -
2. Jawaban arsetpopeye
f(x) = (x^2 - 16)(x^2 - 3x + 2)
= x^4 - 3x^3 + 2x^2 - 16x^2 + 48x - 32
= x^4 - 3x^3 - 14x^2 + 48x - 32
f'(x) = 4x^3 - 9x^2 - 28x + 48