x ------- 2 log (x) x
x^(x/log(x)^2)
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Simplificamos:
Respuesta:
x ------- 2 log (x) / 1 / 1 2 \ \ x *|------- + |------- - -------|*log(x)| | 2 | 2 3 | | \log (x) \log (x) log (x)/ /
x ------- / 2 \ 2 | 2 1 - ------| log (x) |/ 1 \ log(x)| x *||1 - ------| - ----------| \\ log(x)/ x / ------------------------------------- 2 log (x)
/ / 3 \ \ | 4*|1 - ------| | x | 18 4 \ log(x)/ 3 | ------- |1 - ------- + ------ - -------------- / 1 \ / 1 \ / 2 \| 2 | 2 log(x) log(x) |1 - ------| 3*|1 - ------|*|1 - ------|| log (x) | log (x) \ log(x)/ \ log(x)/ \ log(x)/| x *|------------------------------------- + ------------- - ---------------------------| | 2 log(x) x*log(x) | \ x / ---------------------------------------------------------------------------------------------- 2 log (x)