Matematika

Pertanyaan

Tentukan turunan fungsi f(x)=sin x-cos x per sin x

1 Jawaban

  • f(x)=(sin x-cos x)/ sin x

    f'(x) = (cosx+ sinx )sinx - (sinx-cosx) cosx/ sin^2 x

    f'(x) =[ cosx.sinx + sin^2 x - sinx.cosx + cos^2 x] / sin^2 x

    f'(x) = [sin^2 x + cos^2 x] /sin^2 x

    f'(x) = 1/sin^2 x

    f'(x) = cosec^2 x

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