ПРОИЗВОДНАЯ ФУНКЦИИ народ срочная нужна помощь

[latex]y=\frac{e^x}{x+1},\\\\y'=\left(\frac{e^x}{x+1}\right)'=\frac{\left(e^x\right)'(x+1)-e^x\left(x+1\right)'}{\left(x+1\right)^2}=\frac{e^x(x+1)-e^x\left(x'+1'\right)}{\left(x+1\right)^2}=\\\\=\frac{e^x(x+1)-e^x\left(1+0\right)}{\left(x+1\right)^2}=\frac{e^x(x+1)-e^x}{\left(x+1\right)^2}=\frac{e^x(x+1-1)}{\left(x+1\right)^2}=\frac{xe^x}{\left(x+1\right)^2}.[/latex]