What is the derivative of $ln (lnx)$ ?

Question

1930 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-23T09:31:17

$1/ (x ln(x) )$

$y = ln(ln(x))$

$dy/dx = 1/(lnx) d/dx (lnx)= 1/(lnx) 1/x = 1/ (x ln(x) )$

in detail

let $y = ln p$ and $p = ln x$
$dy/(dp) = 1/p$

$(dp)/dx = 1/x$

$dy/dx = dy/(dp) * (dp)/dx = 1/p * 1/x = 1/ (x ln(x) )$

What is the derivative of ln (lnx) ln (lnx)?