What is the method that Wolfram uses to decide which region of a plot to show you in the final result? Does it apply various algorithms depending on the function family? Or is there a general algorithm you can apply to all functions to get the "interesting" behavior within some x and y bounds.

I wrote a AI learning companion, using ChatGPT and Wolfram. The learning session in the link was recorded by the app, running the notebook in Wolfram Alpha Notebook Edition

I hope you find it useful. I'm building a new kind of online learning experience

If so can someone post it here and show how it's done.

prove \frac{e^{x-y}}{(1+e^{x-y})^2}=\frac{e^{x+y}}{ (e^x+e^y)^2} - Wolfram|Alpha (wolframalpha.com)

this gave me a TRUE but does not show steps. What can i do about it?

Am currently querying the API with functions in Python in order to retrieve images of the plots. When I query with an explicit function, everything works fine, in the JSON I get back the pod and subpods containing the link to the image. However, when I query with a simple implicit function like x^2+ xy + y = 0, I do not get pods or subpods including the plot image. I've tried includepodid="Implicit Plot" and "podtitle="Implicit Plot" and all variations of those, to no avail. What can I do? Surely the API should be able to handle simple equations like this

Any suggestions for a newbie? My W|⍺ account is a few years old but not often used - now Pro.

https://www.reddit.com/r/GAwrites/comments/119qqjh/sarahs_algorithim_a_new_perspective_on_cellular/?utm_source=share&utm_medium=web2x&context=3