I tried to plot the function $W(\exp(-x))$ in both WolframAlpha and Sage and I got:
- No result in Wolframalpha (empty 3d box or 2d chart).
- Empty set in SAGE.
Any help?
2026-03-26 19:05:06.1774551906
How to plot $W(\exp(-x))$ in wolframalpha or sage
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Since you use $x$ in your question but have $z$ in the screenshots; do you want specifically plot the real and imaginary parts of $W(\operatorname{exp}(-z))$ for complex $z$?
If you are satisfied with the plot as a real function, you can simply ask WolframAlpha to "plot y*e^y = e^(-x)" (this just uses the definition of the lambert $W$ function to rewrite the equation).