A closed formula for the derivatives of $\ds e^{f(x)}$
arXiv:math/0507439
Abstract
We give a closed formula for the derivative of arbitrary order of the function $\ds g(x)=\exp(f(x))$.
It actually appears that this formula is a special case of Faa di Bruno's formula, and therefore this is not a new result. The author would like to thank those who pointed this out to him