09/06/17 00:50:55
>>233
y = x^x
z = x^y (= x^x^x)
log y = x log x
∴ y'/y = log x + 1
log z = y log x
∴ z'/z = y' log x + y / x = y ((log x + 1)log x + 1/x)
∴ z' = x^x^x (x^x ((log x + 1) log x + 1/x)
09/06/17 00:50:55
>>233
y = x^x
z = x^y (= x^x^x)
log y = x log x
∴ y'/y = log x + 1
log z = y log x
∴ z'/z = y' log x + y / x = y ((log x + 1)log x + 1/x)
∴ z' = x^x^x (x^x ((log x + 1) log x + 1/x)