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d(x^^n)/dx = ?
What is (x^^n)?
Im only looking for the formula for integer values of x, will that make it simpler?It's tetration which represents a double up arrow in Knuth's up arrow notation. Basically a power tower of x's n high:
[tex]x^{x^{.^{.^{.^x}}}}[/tex]
And I don't see any simple solution to this problem.
Sorry, what I meant was positive integers.That function is not even defined for integer values of x.
It would be better if you type in latex.ok I got it
d(x ^^ n) / dx = x ^^ n * d(x ^^ ( n -1) * ln x ) / dx
Follow up question:
lim i→ ∞ { di(x ^^ n) / dxi } converge?