1. ## Freaky problem

Just wanted to know how to approach this problem i found

Find f'(x)
f(x)= x^x^x
it looks like a staircase

2. $y=x^{x^x}=e^{e^{x\ln{x}}\ln{x}}$

Use chain rule.

3. how would you apply the chain rule to this problem

4. $y = e^{e^{x\ln{x}}\ln{x}}$

$y' = e^{e^{x\ln{x}}\ln{x}} \left(\frac{e^{x\ln{x}}}{x}+\ln{x}\left(e^{x\ln{x} }\left(\ln{x}+1\right)\right)\right)$