Help Differentiating

  • Thread starter mlowery
  • Start date
  • #1
23
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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.
 
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Answers and Replies

  • #2
TD
Homework Helper
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It looks good, perhaps you could simplify it a bit but your derivative seems correct :smile:
 
  • #3
23
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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:
  • #5
284
3
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:

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