Вычислить производную функции: [tex]y=\frac{tg(x)}{2x}[/tex]. Created by kalashnikova8851. matematika-ru

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kalashnikova8851 @kalashnikova8851

July 2022 1 10 Report

Вычислить производную функции:
[tex]y=\frac{tg(x)}{2x}[/tex]

Answers & Comments

Miroslava227

Ответ:

$y' = \frac{ \frac{1}{ { \cos }^{2} (x)} \times 2x - 2tg(x)}{4 {x}^{2} } = \\ = \frac{2x}{ { \cos}^{2} (x)} \times \frac{1}{4 {x}^{2} } - \frac{2tg(x)}{4 {x}^{2} } = \\ = \frac{1}{2x { \cos }^{2}(x) } - \frac{tg(x)}{2 {x}^{2} }$

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