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May 25th, 2013, 04:07 AM  #1 
Senior Member Joined: Jul 2012 Posts: 225 Thanks: 0  Second derivatives of implicit function
Hi, I can't solve this question and would like help. Please explain your answer, as this is hard for me to understand how to derive an implicit function, was never explained to me. Question: let be a single variable function, that's derivable 2 times. We are given show that the following equality is true: Please explain the question and the answer...thanks. 
May 25th, 2013, 12:58 PM  #2 
Math Team Joined: Apr 2010 Posts: 2,778 Thanks: 361  Re: Second derivatives of implicit function
I would start with evaluating the terms from LHS and the RHS apart. by chain rule: by product and chain rule by chain rule again this gives 
May 25th, 2013, 03:56 PM  #3 
Senior Member Joined: Jul 2012 Posts: 225 Thanks: 0  Re: Second derivatives of implicit function
Thank you. That was very clear.


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derivatives, function, implicit 
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