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Fungrim entry: a34260

W0 ⁣(x)<21+exW'_{0}\!\left(x\right) < \frac{2}{\sqrt{1 + e x}}
Assumptions:x(e1,)x \in \left(-{e}^{-1}, \infty\right)
W'_{0}\!\left(x\right) < \frac{2}{\sqrt{1 + e x}}

x \in \left(-{e}^{-1}, \infty\right)
Fungrim symbol Notation Short description
LambertWW ⁣(z)W\!\left(z\right) Lambert W-function
Sqrtz\sqrt{z} Principal square root
ConstEee The constant e (2.718...)
OpenInterval(a,b)\left(a, b\right) Open interval
Expez{e}^{z} Exponential function
Infinity\infty Positive infinity
Source code for this entry:
    Formula(Less(LambertW(x, 0, 1), Div(2, Sqrt(Add(1, Mul(ConstE, x)))))),
    Assumptions(Element(x, OpenInterval(Neg(Exp(-1)), Infinity))))

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2021-03-15 19:12:00.328586 UTC