DLMF:4.13.E4 (Q1645)

No description defined

Language	Label	Description	Also known as
English	DLMF:4.13.E4	No description defined

Statements

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{\LambertW}{x}=\frac{e^{-\LambertW}}{1+\LambertW},}

0 references

DLMF id

DLMF:4.13.E4

0 references

constraint

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x\neq-\dfrac{1}{e}}

0 references

Symbols used

Lambert $$W$$ -function

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \LambertW@{\NVar{x}}}

xml-id

C4.S13.E1.m2acdec

0 references

derivative of $$f$$ with respect to $$x$$

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{\NVar{f}}{\NVar{x}}}

xml-id

C1.S4.E4.m2adec

0 references

base of natural logarithm

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}

xml-id

C4.S2.E11.m2addec

0 references

Q11218

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}