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Homework Help: Finding the rate of change

  1. Jul 24, 2009 #1
    the height h(x) in meters above the ground of a parachute varies with her horizontal distplacement x in meters from a landing target on the ground as h(x) = 50sin^-1 (0.1x). what is the rate of change of h with respect to x at x = 6m?

    i was wondering of someone could help me with this question :)
  2. jcsd
  3. Jul 24, 2009 #2


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    Homework Helper

    Do you have any idea yourself? What are you thoughts on this problem? We require some effort from your side before we guide you to the answer.
    Last edited: Jul 24, 2009
  4. Jul 24, 2009 #3


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    What is the derivative of h(x) = 50sin^-1 (0.1x)? That's all this is asking. Do you know the derivative of arcsine?
  5. Jul 24, 2009 #4
    is it
    1 / sqrt(1-x^2)

  6. Jul 24, 2009 #5


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    yes so now you know

    [tex]\frac{d}{dx} (sin^{-1}x)= \frac{1}{\sqrt{1-x^2}}[/tex]

    what is d/dx( sin-1(0.1x)) ?
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