Question

y=(x^2-1)/(x^2 +1) найти производную функции.

Answer 1

$y'=(frac{x^2-1}{x^2+1})'=frac{(x^2-1)'(x^2+1)-(x^2-1)(x^2+1)'}{(x^2+1)^2}= frac{2x(x^2+1)-2x(x^2-1)}{x^4+2x^2+1} \=frac{2x^3+2x-2x^3+2x}{x^4+2x^2+1}=frac{4x}{x^4+2x^2+1}$