Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
Name of this math function?
f(x) = x^x
Is it exponential (f(x) = 2^x) or ar power (f(x)= x^2)) function, or neither?
2 Answers
- Josh SwansonLv 66 years ago
There's no common name for that function. It's not used very much in practice--it shows up in calculus homework and the like since it's a good place to use logarithmic differentiation; it shows up in the "sophomore's dream" identity, which is a nice curiosity but I don't know of any applications. Exponential and power functions come up a lot in nature, while x^x doesn't seem to. It probably has an awful differential equation form....
- Anonymous6 years ago
It is both an exponential and power function. f(x) can be written as e^(xlnx), which is an exponential function of xlnx, which in turn is a function of x.
