Question

Найти производную уравнения

Answer 1

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