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Pertanyaan

Jika f(x) = cos^2(sin 2x), maka f'(x)= ...

1 Jawaban

  • misal u = sin 2x
    v = cos u
    f(v) = v²
    du/dx = 2 sin 2x cos 2x = cos 4x
    dv/du = -sinu
    df(v)/dv = 2v

    df(x)/dv * dv/du * du/dx = 2v*(-sin u)*(cos 4x)
    f'(x) = 2 cos(sin2x) * - sin(sin2x) *cos 4x
    f'(x) = -sin(2sin2x)*cos4x

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