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 On the first derivative of the n-th tetration of f(x) tommy1729 Ultimate Fellow Posts: 1,493 Threads: 356 Joined: Feb 2009 10/28/2021, 11:53 AM (10/27/2021, 03:35 PM)Luknik Wrote: Thank you Daniel! I'll check it out.  I really hope that a closed formula for the m-th derivative of the n-th tetration of some functions exists. For example for $$f(x)=x$$. So..if $$g(x)={^{n}x}$$ Maybe we can find a closed formula for: $$\frac{d^{m}}{dx^{m}} {^{n}x}$$ where $$n,m\in\mathbb{N}$$ and $$n\geq 2$$ I have already found somethig interesting, I'll post some of the results I got. Thank you, regards. That would be interesting , in combinations with ideas like continuum sum etc. regards tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread On the first derivative of the n-th tetration of f(x) - by Luknik - 10/16/2021, 08:30 PM RE: On the first derivative of the n-th tetration of f(x) - by tommy1729 - 10/26/2021, 10:05 PM RE: On the first derivative of the n-th tetration of f(x) - by Luknik - 10/27/2021, 06:11 AM RE: On the first derivative of the n-th tetration of f(x) - by Daniel - 10/27/2021, 09:46 AM RE: On the first derivative of the n-th tetration of f(x) - by Luknik - 10/27/2021, 03:35 PM RE: On the first derivative of the n-th tetration of f(x) - by tommy1729 - 10/28/2021, 11:53 AM

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