Question

How do you find `d/dx ln(ln(x))`?

Answer 1

Using the Chain Rule you first derive the "outside" `ln` leaving the argumet (the other `ln`) as it is and then multiply times the derivative of the internal `ln` (the argument of the first).

So you get:

`d/dxln(ln(x))=1/ln(x)*1/x=1/(xln(x))`

Hope it helps