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May 25th, 2013, 04:07 AM   #1
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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.
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May 25th, 2013, 12:58 PM   #2
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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
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May 25th, 2013, 03:56 PM   #3
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Re: Second derivatives of implicit function

Thank you. That was very clear.
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