Formula:1771

Digital Library of Mathematical Functions ID 4.13.E4

${\displaystyle{\displaystyle\frac{\mathrm{d}W}{\mathrm{d}x}=\frac{e^{-W}}{1+W},}}$

Constraint(s)

${\displaystyle{\displaystyle x\neq-\dfrac{1}{e}}}$

Symbols List

• ${\displaystyle{\displaystyle W\left(\NVar{x}\right)}}$: Lambert $$W$$ -function
• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle x}}$: real variable
 

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