Question 1189627
given:

{{{y=ln(ln (2x))}}}

Find the derivative of {{{y}}} with respect to {{{x}}}.


{{{(d/dx)(ln(ln(2x)))}}}..........apply chain rule


={{{(1/ln(2x))(d/dx)(ln(2x))}}}


so, {{{(d/dx)(ln (2x))=1/x}}}, and we have


={{{(1/ln(2x))(1/x)}}}............simplify


={{{1/(x*ln(2x))}}}


answer:  {{{y}}}'{{{(x) = 1/(x*log(2 x))}}}