Matematika

Pertanyaan

turunan dari f(x)= sinx / 1+cos

2 Jawaban

  • cosx/1-sin
    kalo gak salah ya
  • f(x) = (sin x)/(1 + cos x) = u/v
    u = sin x => u' = cos x
    v = 1 + cos x => v' = - sin x
    f'(x) = (u' v - v' u)/v^2
    = (cos x . (1 + cos x) - (- sin x) sin x) / (1 + cos x)^2
    = (cos x + cos^2 x + sin^2 x) / (cos x + 1)^2
    = (cos x + 1) / (cos x + 1)^2
    = 1/(cos x + 1)

    ^ = pangkat

Pertanyaan Lainnya