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Nth derivative watch
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Last edited by Wannalearn; 28-11-2010 at 03:10.
- 28-11-2010 02:31
(Original post by Wannalearn)
- 28-11-2010 03:08
Say we want to find the (2m+1)th derivative of .
By some appropriate method, we can show that:
Can we do the following? Replace n with (2m+1), and we have:
It seems completely valid to me, but I can't avoid to be wrong.
But yes, you can replace n with 2m+1. What that's saying is your formula is valid for all natural numbers hence it's valid for all positive odd numbers. However if you're being formal then you would need to say that n and m are natural and you would need to have proven the first formula, say, by induction.