Question

find the derivative of the following functions
y=ln (e^x)/(1+e^x)

Answer 1

simplify the numerator, first.
ln(e^x) = x ln(e) = x * 1 = x
so, y = x/(1+e^x)

then use the quotient rule :
if y = u/v then y' = (vu' - uv')/v^2

try it ....

Answer 2

According to what RadEn said , I think this is the answer
\[\frac{ 1+e^x -xe^x }{ (1+e^x)^2}\]