Matematika

Pertanyaan

jika y = cos (3/x) , maka dy/dx = ...

2 Jawaban

  • y = cos(3/x)
    misal u = 3/x =3x^(-1)
    du/dx = -3x^(-2) = -3/x²

    y = cos u
    dy/du = -sin u
    dy/du = -sin(3/x)

    dy/dx = dy/du . du/dx
              = -sin(3/x) . -3/x²
              = 3/x² . sin(3/x)

  • y = cos (3/x) = cos (3x⁻¹)
    dy/dx = -sin (3x⁻¹) (-3x⁻²)
              = 3 sin (3/x) / x²

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