НАЙДИТЕ ПРОИЗВОДНУЮ(Пох1Дну!) 24 пример!. Created by flightlessbird. algebra-ru

НАЙДИТЕ ПРОИЗВОДНУЮ(Пох1Дну!) 24 пример!...

Evgenia4836

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Решение во вложении:

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NNNLLL54

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

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Answers & Comments

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