Question

Найти производную :y=ctgx*cosx

Answer 1

$y=ctg(x)*cos(x) \\ y' = (\frac{cos(x)}{sin(x)} * cos(x) )= \frac{cos(x)^2}{sin(x)} = \frac{2cos(x)*(-sin(x))*sin(x)-cos(x)^2*cos(x)}{sin(x)^2} = \\ = \frac{sin(2x)*sin(x)+cos(x)^3}{sin(x)^2}$