02/26/2009, 12:16 PM
On the other hand Dmitrii's plot of the derivatives looks quite like yours:
![[Image: 280px-TetrationDerivativesReal.jpg]](http://en.citizendium.org/images/thumb/d/d9/TetrationDerivativesReal.jpg/280px-TetrationDerivativesReal.jpg)
where \( \text{sexp}' \) is red; \( \text{sexp}'' \) is green; \( \text{sexp}''' \) is blue; \( \text{sexp}'''' \) is pink.
Compared with Jays suggestion, which has a completely different second derivation:
[attachment=3]
So can it just be a rounding error (Taylor series)?
And why not ask Dmitrii, to compute \( \text{slog}_{1.45}(x)-\text{slog}_{e}(x) \) for \( x \) to infinity, whether it wobbles or not
Dmitrii, can you do this?
where \( \text{sexp}' \) is red; \( \text{sexp}'' \) is green; \( \text{sexp}''' \) is blue; \( \text{sexp}'''' \) is pink.
Compared with Jays suggestion, which has a completely different second derivation:
[attachment=3]
So can it just be a rounding error (Taylor series)?
And why not ask Dmitrii, to compute \( \text{slog}_{1.45}(x)-\text{slog}_{e}(x) \) for \( x \) to infinity, whether it wobbles or not
Dmitrii, can you do this?
