Differentiate y=ln(ln(x))y = \\ln(\\ln(x))y=ln(ln(x)).
frac1xlnx\\frac{1}{x \\ln x}frac1xlnx
frac1lnx\\frac{1}{\\ln x}frac1lnx
frac1x\\frac{1}{x}frac1x
ln(x)/x\\ln(x) / xln(x)/x