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30 December, 10:05

Suppose xy=-2 and dy/dt=-4. Find dx/dt when x=-1.

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Answers (1)
  1. 30 December, 13:13
    0
    -2

    Step-by-step explanation:

    Dividing the given equation by x, we find y to be ...

    y = - 2/x

    Then ...

    dy/dx = 2/x^2

    and ...

    dy/dt = (2/x^2) dx/dt

    dx/dt = (x^2/2) dy/dt

    When dy/dt = - 4 and x=-1, this is ...

    dx/dt = (-1) ^2/2 (-4) = (1/2) (-4)

    dx/dt = - 2
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