Помогите решить производную. Очень выручитеy² + C² = cos y + 2x. Created by bralre345621. algebra-ru

Помогите решить производную. Очень выручитеy² + C² = cos y + 2x...

bralre345621 @bralre345621

July 2022 1 7 Report

Помогите решить производную. Очень выручитеy² + C² = cos y + 2x

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Miroslava227

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Ответ:

${y}^{2} + {C}^{2} = \cos(y) + 2x \\ 2yy' + 0 = - \sin(y) \times y' + 2 \\ 2yy' + y' \sin(y) = 2 \\ y'(2y + \sin(y)) = 2 \\ y' = \frac{2}{2y + \sin(y) }$

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Answers & Comments

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