Matematika

Pertanyaan

Carilah Turunan dari f(x) = 2+sin x/1-sin x

1 Jawaban

  • u = 2 + sinx ... u' = cosx
    v = 1 - sinx .... v' = -cosx
    f'(x) = (u'v - v'u)/v²
    = (cosx(1 - sinx) - (-cosx)(2 + sinx))/(1 - sinx)²
    = (cosx - sinx cosx + 2 cosx + sinx cosx)/(1 - sinx)²
    = 3 cosx/(1 - sinx)²

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