Matematika

Pertanyaan

turunan fungsi f(x) = 2x2+3/x2+2x
tolong dibantu yaa aku mohon

1 Jawaban

  • paling baik lengkapi dulu dh tnda kurung, biar gk maen tbak²an banyak
    jika gini
    f(x) = (2x² + 3)/(x² + 2x)
    u = 2x² + 3 → u' = 4x
    v=x² + 2x → v' = 2x + 2
    f'(x) = (u'v - v'u)/v²
    = (4x(x² + 2x) - (2x + 2)(2x² + 3))/(x² + 2x)²
    = (4x³ + 8x² - (4x² + 6x + 4x² + 6))/(x² + 2x)²
    = (4x³ + 8x² - 4x² - 6x - 4x² - 6)/(x² + 2x)²
    = (4x² - 6x - 6)/(x² + 2x)²

Pertanyaan Lainnya