Question

Найдите производную функции
$y = frac{x}{tg(x)}$
​

Answer 1

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