Matematika

Pertanyaan

Jika f(x) = sinx / 1+cosx maka f'(x) =....

1 Jawaban

  • U = sin x
    U' = cos x
    v = 1 + cos x
    v' = -sin x

    f'(x) = (VU' - UV') / V^2
    =(1+cos x)(cos x) - (sin x)(-sin x) /(1+cos x)^2
    = cos x + cos^2 x + sin^2 x / (1+cos)^2
    = cos x + 1 / (1+ cos)^2
    = 1/ 1+cos

    semoga membantu

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