Give an example of a differentiable function such that Can you prove that there are no other examples?
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Originally Posted by NonCommAlg Give an example of a differentiable function such that Can you prove that there are no other examples? Here is one example: Let , then Therefore , , (This one is not real). So,
Last edited by mr fantastic; September 19th 2009 at 01:38 AM. Reason: Restored original reply
Originally Posted by luobo Here is one example: Let , then Therefore , , (This one is not real). So, Is it the unique function for this ?
Originally Posted by simplependulum Is it the unique function for this ? yes! luobo's example, i.e. where is the only function that satisfies the condition. now the question is: why?
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