What is the Chain Rule for Differentiating ln ln ln x^3?

[BuBbLeS01]

Homework Statement

ln ln ln x^3

Homework Equations

The Attempt at a Solution

My teacher was going over the review for the final and this was one of the questions. He said the answer is 1/ln ln x^3 but I don't know how to get that...can someone please help me...thank you!

 

[rock.freak667]

y=ln ln ln x^3

Let t= lnx$^3$

so you have y= ln lnt

Let u=lnt

so you have y=lnu

by the chain rule

$$\frac{dy}{dx}=\frac{dy}{du}*\frac{du}{dt}*\frac{dt}{dx}$$