Matematika

Pertanyaan

Bantu ngerjain dong, 1 nomor doangg
Bantu ngerjain dong, 1 nomor doangg

1 Jawaban

  • 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)