derivative of a logarithm function

[Guest]

Hi,
Ok here is the problem: ln(lnx^3) i must find f'(e)
here is where i have gotten:
one of the rules says it will be
( 1 )
-------
lnx^3
then i have to multiply by the derivative
of what is in the parenthasis. (lnx^3)

this is where i am having the problem. i can't figure out the derivative of (lnx^3)
i figured that the chain rule probably comes into effect somwhere but i am not sure. any help would be greatly appreciated

 

[pka]

\(\displaystyle \L
y = \ln \left[ {\ln \left( {x^3 } \right)} \right] = \ln \left[ {3\ln \left( x \right)} \right]\quad \Rightarrow \quad y' = \frac{1}{{3\ln (x)}}\frac{3}{x}\)

 

[Guest]

thank you