Question

у=lnx/x найти производную

Answer 1

$y= frac{lnx}{x}$

$y'= (frac{lnx}{x} )'= frac{(lnx)'*x-lnx*(x)'}{x^2} = frac{ frac{1}{x}*x-lnx*1 }{x^2} = frac{1-lnx}{x^2}$