Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Derivative of the Tetration Logarithm
#1
Question 
How fast does [Image: svg.image?d\div%20dxslog_%7Be_4%7D(x)] go to zero?
It can not be that fast, otherwise [Image: svg.image?slog_%7Be_4%7D(x)] would converge.
ฅ(ミ⚈ ﻌ ⚈ミ)ฅ
Please remember to stay hydrated.
Sincerely: Catullus
Reply
#2
Hey catullus.

This dates back to ramanujan. But the answer is it goes to zero slower than every function:

$$
1/\log^{\circ n}(x)\\
$$

For all \(n \in \mathbb{N}\). So... very fucking slow.
Reply


Possibly Related Threads…
Thread Author Replies Views Last Post
Question Iterated Hyperbolic Sine and Iterated Natural Logarithm Catullus 2 304 06/11/2022, 11:58 AM
Last Post: tommy1729
  On the first derivative of the n-th tetration of f(x) Luknik 5 1,612 10/28/2021, 11:53 AM
Last Post: tommy1729
  Is bugs or features for fatou.gp super-logarithm? Ember Edison 10 16,832 08/07/2019, 02:44 AM
Last Post: Ember Edison
  Can we get the holomorphic super-root and super-logarithm function? Ember Edison 10 17,799 06/10/2019, 04:29 AM
Last Post: Ember Edison
  Semi-exp and the geometric derivative. A criterion. tommy1729 0 3,301 09/19/2017, 09:45 PM
Last Post: tommy1729
  How to find the first negative derivative ? tommy1729 0 3,370 02/13/2017, 01:30 PM
Last Post: tommy1729
  A calculus proposition about sum and derivative tommy1729 1 4,541 08/19/2016, 12:24 PM
Last Post: tommy1729
  Derivative of exp^[1/2] at the fixed point? sheldonison 10 22,569 01/01/2016, 03:58 PM
Last Post: sheldonison
  Derivative of E tetra x Forehead 7 16,583 12/25/2015, 03:59 AM
Last Post: andydude
  A derivative conjecture matrix 3 8,737 10/25/2013, 11:33 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)