Question

НАЙДИТЕ ПРОИЗВОДНУЮ(Пох1Дну!)
24 пример!

Answer 1

Решение во вложении:

Answer 2

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