Question

derivatives involving ln x: d/dx (lnx/lnx+1)

Answer 1

Apply quotient rule.

Answer 2

\[((\ln x+1)(1/x)-lnx(1/x))/(lnx+1)^{2}\]
\[(1/x)(\ln x+1-\ln x))/(\ln x+1)^{2}\]
\[(1/x)(1)/(\ln x+1)^{2}\]