Question

What is the derivative of `y=ln(ln(x))`?

Answer 1

`(dy)/(dx) = 1/(xlnx)`

Explanation:

`d/dx ln f(x) = ( f'(x) ) / f(x)`

`=> d/dx( ln ( ln x ) ) = (d/dx( lnx )) /lnx`

`= (1/x)/lnx`

`1/( xlnx )`