Matematika

Pertanyaan

Xy^2=x-4
Ditanya=dy/dx

1 Jawaban

  • jawab

    xy² = x - 4   →  xy² - x = -4 → x(y² -1)= - 4 → x= (-4)/(y² -1)
    d(xy²) /dx = d(x -4)/dx
    2xy y' = 1
    y' = 1/ (2xy)
    y' = 1/ (2y)(-4/(y²-1))
    y' = (y²-1)/(-8y)

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