I agree, but @Subhotosh Khan had a great idea there, and this must be the necessary adjustment... [imath]y=(x^x)^y[/imath]
Thanks. I didn't see the adjustment [imath]y=(x^x)^y[/imath]. I need to have my vision checked.I agree, but @Subhotosh Khan had a great idea there, and this must be the necessary adjustment... [imath]y=(x^x)^y[/imath]
To the corner with you, you scurvy swine! (I could use someone to play rock paper scissors with.)Thanks. I didn't see the adjustment [imath]y=(x^x)^y[/imath]. I need to have my vision checked.
Why are you in the corner? What did you do this time around?To the corner with you, you scurvy swine! (I could use someone to play rock paper scissors with.)
-Dan
I advised someone to use the Lambert W function where it couldn't actually be applied.Why are you in the corner? What did you do this time around?
Sloppy, very sloppy.I advised someone to use the Lambert W function where it couldn't actually be applied.
I'm a baaaad boy.
-Dan
Blasphemy!!!!What did you do this time
Help! I'm being lambasted about Lambert!Blasphemy!!!!
He invoked Lambert without any basis.......
What do you need help with? What have you tried? Did you read the posting guideline?Help! I'm being lambasted about Lambert!
-Dan
Thanks for this graph. Now this is initially surprising. Can you show a graph of the derivative?Here's the graph of [imath]y=(x^x)^y[/imath]
View attachment 32807
The graph starts near, or on, (0, 1) depending on how you view 0^0. It goes through (1,1) and then appears to double back where y=e. Then there's a vertical asymptote at x=1.
And there should be a point at (-1, -1)
I used Desmos and it gave me something different for [imath]y=(x^x)^y[/imath]Here's the graph of [imath]y=(x^x)^y[/imath]
View attachment 32807
The graph starts near, or on, (0, 1) depending on how you view 0^0. It goes through (1,1) and then appears to double back where y=e. Then there's a vertical asymptote at x=1.
And there should be a point at (-1, -1)
I used Desmos too, but I zoomed out the y axis scale to see how it folds back for higher y values!I used Desmos and it gave me something different for [imath]y=(x^x)^y[/imath]
View attachment 32809
This is what I got for the derivative.
View attachment 32810