Matematika

Pertanyaan

jika y =2x-1 / x+1 maka dy/dx adalah

1 Jawaban

  • y = (2x - 1)/(x + 1)
    u = x + 1 → u' = 1
    v=2x - 1 → v' = 2
    dy/dx = (u'v - v'u)/v²
    = (1(x + 1) - 2(2x - 1))/(x + 1)²
    = (x + 1 - 4x + 2)/(x + 1)²
    = (3 - 3x)/(x + 1)²

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