Question

Найдите производную,срочно! 24 пример!

Answer 1

y'=3((1+x²)/(1-x))²·(2x(1-x)+(1+x²)) /(1-x)²=3((1+x²)/(1-x))²·(-x²+2x+1)/(1-x)²=

3(1+x²)²(-x²+2x+1) / (1-x)³.

Answer 2

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