Matematika

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2 Jawaban

  • f(x) = (3x^2 - 10)/(x + 6) => f(0) = (3.0^2 - 10)/(0 + 6) = (-10)/6 = -5/3
    f(x) = u/v
    u = 3x^2 - 10 => u' = 6x
    v = x + 6 => v' = 1
    f'(x) = (u' v - v' u)/v^2
    f'(x) = (6x (x + 6) - 1 (3x^2 - 10)) / (x + 6)^2
    f'(0) = (6.0(0 + 6) - 1(3.0^2 - 10)) / (0 + 6)^2
    f'(0) = (0(6) - 1(-10)) / 6^2
    f'(0) = 10/36
    f'(0) = 5/18

    f(0) + 6 f'(0) = -5/3 + 6 (5/18) = -5/3 + 5/3 = 0
  • Matematika XI SMA
    →→ Differensial ←←

    Pembahasan :
    f(x) = (3x² - 10)/(x + 6)
    f(0) = (3.0² - 10)/(0 + 6) = -10/6 = -5/3

    f'(x) = (3x² + 36x + 10)/(x + 6)²
    f'(0) = (3.0² + 36.0 + 10)/(0 + 6)²
    f'(0) = 10/36 = 5/18

    Maka...
    f(0) + 6f'(0)
    = - 5/3 + 6(5/18)
    = -5/3 + 5/3
    = 0
    Gambar lampiran jawaban ErikCatosLawijaya
    Gambar lampiran jawaban ErikCatosLawijaya