hi, i was wondering if you could help me through this problem i had seen on the internet and has baffled me since. My name is michael hackman, i am a freshamn at Marshall University Here it is:

Find the derivative of: y = x^x^x^x... on to infinity.

Thanks for the help!

The key to solving this problem is to write

as

Now you can differentiate implicitly in either of two ways.

or