中文

$\ds e^{f(x)}$ 导数的封闭公式

组合数学 2007-05-23 v2

摘要

我们给出函数 \dsg(x)=exp(f(x))\ds g(x)=\exp(f(x)) 任意阶导数的封闭公式。

关键词

引用

@article{arxiv.math/0507439,
  title  = {A closed formula for the derivatives of $\ds e^{f(x)}$},
  author = {Konstantinos Drakakis},
  journal= {arXiv preprint arXiv:math/0507439},
  year   = {2007}
}

备注

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