Question

Вычислить производную функции:

$y=\frac{tg(x)}{2x}$

Answer 1

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