Fungrim entry: f171a6

W'_{0}\!\left(x\right) \le \frac{1}{x + 1}

Assumptions:

x \in \left[0, \infty\right)

TeX:

W'_{0}\!\left(x\right) \le \frac{1}{x + 1}

x \in \left[0, \infty\right)

Definitions:

Fungrim symbol	Notation	Short description
`LambertW`	$W_{k}\!\left(z\right)$	Lambert W-function
`ClosedOpenInterval`	$\left[a, b\right)$	Closed-open interval
`Infinity`	$\infty$	Positive infinity

Source code for this entry:

Entry(ID("f171a6"),
    Formula(LessEqual(LambertW(0, x, 1), Div(1, Add(x, 1)))),
    Variables(x),
    Assumptions(Element(x, ClosedOpenInterval(0, Infinity))))

Topics using this entry

Lambert W-function

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-06-18 07:49:59.356594 UTC