Найдите производную функции \(\large{y'}=\large{\frac{lnx}{lnx+1}.}\) \(\large{y'}=\frac{1}{x+1}\) \(\large{y'}=\frac{1}{{x}\cdot{ln^2{(ex)}}}\) \(\large{y'}=\frac{2lnx+1}{x\cdot{(lnx+1)^2}}\) \(\large{y'}=\frac{1}{x\cdot{(lnx+1)}}\)

Задание

Найдите производную функции \(\large{y'}=\large{\frac{lnx}{lnx+1}.}\)

\(\large{y'}=\frac{1}{x+1}\)
\(\large{y'}=\frac{1}{{x}\cdot{ln^2{(ex)}}}\)
\(\large{y'}=\frac{2lnx+1}{x\cdot{(lnx+1)^2}}\)
\(\large{y'}=\frac{1}{x\cdot{(lnx+1)}}\)