log(log(log(x)))
log(log(log(x)))
Let .
The derivative of is .
Then, apply the chain rule. Multiply by :
Let .
The derivative of is .
Then, apply the chain rule. Multiply by :
The derivative of is .
The result of the chain rule is:
The result of the chain rule is:
The answer is:
1 -------------------- x*log(x)*log(log(x))
/ 1 1 \ -|1 + ------ + ------------------| \ log(x) log(x)*log(log(x))/ ----------------------------------- 2 x *log(x)*log(log(x))
2 3 2 3 3 2 + ------- + ------ + -------------------- + ------------------ + ------------------- 2 log(x) 2 2 log(x)*log(log(x)) 2 log (x) log (x)*log (log(x)) log (x)*log(log(x)) -------------------------------------------------------------------------------------- 3 x *log(x)*log(log(x))