Найдите производную функции \[f(x)=\frac{x}{x^2-1}\] \[f\,'(x)=\frac{1}{2x}\] \[f\,'(x) = -\frac{x^2+1}{(x^2-1)^2}\] \[f\,'(x) = \frac{3x^2-1}{(x^2-1)^2}\] \[f\,'(x) = \frac{1+2x}{(x^2-1)^2}\]

Задание

Найдите производную функции

\[f(x)=\frac{x}{x^2-1}\]

\[f\,'(x)=\frac{1}{2x}\]
\[f\,'(x) = -\frac{x^2+1}{(x^2-1)^2}\]
\[f\,'(x) = \frac{3x^2-1}{(x^2-1)^2}\]
\[f\,'(x) = \frac{1+2x}{(x^2-1)^2}\]