February 2nd, 2009, 05:09 PM  #1 
Newbie Joined: Dec 2008 Posts: 26 Thanks: 0  Problem with derivative
I would be really grateful if anyone could help me with this derivative: OK, I believe I need to use the quotient rule, and I'll get something like that: but I don't know what to do next... 
February 3rd, 2009, 04:20 AM  #2 
Newbie Joined: Dec 2008 Posts: 26 Thanks: 0  Re: Problem with derivative
Updated my previous post 
February 3rd, 2009, 10:46 AM  #3  
Member Joined: Dec 2008 From: Washington state, of the United States Posts: 37 Thanks: 0  Re: Problem with derivative Quote:
Now, from trigonometry, we ought to know that: The real question is this... do you know how to find the derivative of an inverse function? Follow this procedure for any arbitrary inverse function... Suppose Then by definition of an inverse function Find the derivative: utilizing both chain rule and implicit differentiation. Solve for y': Plug in your function y in terms of x: There... thats all you need to know for an arbitrary f(x)... you can find the derivative of any f^1. Given that in your problem , we know that and therefore Refer back to your original problem: Remembering your chain rules You have to look back at good old trigonometry yet again... and so Plugging in: This problem is boring me. I will quit now.  
February 4th, 2009, 04:18 AM  #4 
Newbie Joined: Dec 2008 Posts: 26 Thanks: 0  Re: Problem with derivative
Thanks man I really appreciate that.

February 4th, 2009, 05:58 AM  #5  
Senior Member Joined: Sep 2008 Posts: 116 Thanks: 0  Re: Problem with derivative Quote:
d/dx ( u / v) = (u' * v  u * v') / v^2  
February 4th, 2009, 07:56 AM  #6  
Member Joined: Dec 2008 From: Washington state, of the United States Posts: 37 Thanks: 0  Re: Problem with derivative Quote:
 
February 4th, 2009, 08:14 AM  #7 
Newbie Joined: Dec 2008 Posts: 26 Thanks: 0  Re: Problem with derivative
Don't worry man, nothing happened I changed the signs.


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