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Homework Help: Help Differentiating

  1. Nov 4, 2005 #1
    I need to differentiate D (the first equation). In this equation, there is an arcsin. I am not sure what to do about this. Well . . . just have a look:
    http://www.mlowery.0nyx.com/differentiate.jpg"
    If the browser says access denied, copy and paste the URL into a new browser window and it will work.
    I do not know whether or not I used the chain rule correctly and I have never differentiated arcsin before.
    Yes, this is part of my homework. But it is a small part of a larger project. I know exactly what I have to do to complete the project. I have just spent 3 hours attempting to differentiate this. Please do not assume I am simply trying to get a free answer.
     
    Last edited by a moderator: Apr 21, 2017
  2. jcsd
  3. Nov 4, 2005 #2

    TD

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    Homework Helper

    It looks good, perhaps you could simplify it a bit but your derivative seems correct :smile:
     
  4. Nov 4, 2005 #3
    Thanks. It took me a while to simplify, but here is is:
    http://www.mlowery.0nyx.com/differentiate.jpg"

    Once again, if access is denied, copy and paste the URL into a new browser.
     
    Last edited by a moderator: Apr 21, 2017
  5. Nov 4, 2005 #4
    Last edited by a moderator: Apr 21, 2017
  6. Nov 4, 2005 #5
    I can't see the image, it appears to be empty but...

    [tex]y=arcsin(x)[/tex]
    [tex]x=sin y[/tex]
    [tex]\frac{dx}{dy}=cos y[/tex]
    [tex]\frac{dy}{dx}=\frac{1}{ cos y}[/tex]
    [tex]\frac{dy}{dx}=\frac {1}{\sqrt{1-sin^2 y}}[/tex]
    [tex]\frac{dy}{dx}= \frac {1}{\sqrt{1-x^2}}[/tex]
     
    Last edited: Nov 4, 2005
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