Предмет: Алгебра, автор: ksksjdkakakaka

Точка минимума. 11 класс

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Автор ответа: NNNLLL54

1

$y=\frac{162}{x}+2x+7\; \; ,\; \; x\ne 0\\\\y'=-\frac{162}{x^2}+2=\frac{2(x^2-81)}{x^2}=0\; \; ,\; \; x=\pm 9\; ,\; x\ne 0\\\\znaki\; y':\; \; +++(-9)---(0)---(9)+++\\\\.\qquad \qquad \quad \; \; \nearrow \; \; (-9)\; \; \; \; \searrow \; \; \; (0)\; \; \; \searrow \; \; (9)\; \; \; \nearrow \\\\x_{min}=9\; \; ,\; \; y_{min}=y(9)=44$

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