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Автор - polinasmirnova12

Найдите производную функции у=2√х(1-х)

Ответ

Проверено экспертом

Автор - Universalka

y=2sqrt{x(1-x)}=2sqrt{x-x^{2} }\\y'=2(sqrt{x-x^{2} })'=2*frac{1}{2sqrt{x-x^{2}}}*(x-x^{2})'=frac{1-2x}{sqrt{x-x^{2}}}

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