Bantu ngerjain dong, 1 nomor doangg
Matematika
riomasandi
Pertanyaan
Bantu ngerjain dong, 1 nomor doangg
1 Jawaban
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1. Jawaban MarkKurniawan
y = (1 - x)²(2x+3)
u = (1 - x)²
u' = 2(1 - x).(-1)
u' = -2(1 - x)
u' = -2 + 2x
v = 2x + 3
v' = 2
y' = u'v + uv'
= (-2 + 2x).(2x + 3) + (1 - x)².2
= -4x - 6 + 4x² + 6x + (1 - 2x + x²).2
= 4x² +2x -6 + 2 - 4x + 2x²
= 6x² -2x - 4
= 2(3x² - x - 2)
= 2(x - 1)(3x + 2)