Question

ПРОИЗВОДНАЯ ФУНКЦИИ

народ срочная нужна помощь

Answer 1

$y=frac{e^x}{x+1},\\y'=left(frac{e^x}{x+1}right)'=frac{left(e^xright)'(x+1)-e^xleft(x+1right)'}{left(x+1right)^2}=frac{e^x(x+1)-e^xleft(x'+1'right)}{left(x+1right)^2}=\\=frac{e^x(x+1)-e^xleft(1+0right)}{left(x+1right)^2}=frac{e^x(x+1)-e^x}{left(x+1right)^2}=frac{e^x(x+1-1)}{left(x+1right)^2}=frac{xe^x}{left(x+1right)^2}.$