Question

Решите производную

y=-x/x^2+1

Answer 1

$y' = (- \frac{x}{x^2+1} )'= - \frac{x'*(x^2+1)-x*(x^2+1)'}{(x^2+1)^2}=- \frac{x^2+1-2x^2}{(x^2+1)^2}=$ $- \frac{-x^2+1}{(x^2+1)^2}= \frac{x^2-1}{(x^2+1)^2}$