Log, Lg, Diff

Log, Lg

https://www.yaklass.ru/p/algebra/11-klass/logarifmy-pokazatelnaia-i-logarifmicheskaia-funktcii-9160/poniatie-logarifma-osnovnoe-logarifmicheskoe-tozhdestvo-10788/re-8fdf858f-8eb1-4679-8dd2-e6dde4124085

f(x) = x^x

x = e^lnx

f(x) = (e^lnx)^x = e^(x*lnx)

f '(x) = (e^(x*lnx))' = e^(x*lnx) * (x*lnx)' = x^x*(lnx + 1)

https://mathdf.com/der/ru/