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Автор - IEHOTI

Найти производную функции
x^2 +xy+y^2=6

Ответ

Проверено экспертом

Автор - NNNLLL54

x^2+xy+y^2=6\\2x+(1cdot y+xcdot y')+2yy'=0\\2x+y+xy'+2yy'=0\\y', (x+2y)=-2x-y\\y'=-frac{2x+y}{x+2y}

Ответ

Автор - takushnir

x² +xy+y²=6

2х+у+х*у'+2y*y'=0

у'(x+2y)=-2x-y

у'=(-2x-y)/(x+2y)

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