Question

Найдите производную функции
$y = \frac{x}{tg(x)}$
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Answer 1

$y'=\frac{1*tg(x)-x*1/cos^2(x)}{tg^2(x)} =\frac{cos^2(x)*tg(x)-x}{tg^2(x)*cos^2(x)} =\frac{sin(x)cos(x)-x}{sin^2(x)}$