Найдите производную. cos2xsinx+sin2xcosx - вопрос №227778973 от sofialipnitscka 22.08.2021 06:16

Question

Математика: Найдите производную. cos2xsinx+sin2xcosx

sofialipnitscka · Answer

F(x)=cos(2x)sinx+sin(2x)cos(x)Формула: f(x)=uv, f (x)=u v+uv cos(2x) =-2sin(2x)sin(x) =cos(x)sin(2x) =2cos(2x)cos(x) =-sin(x)f (x)=(-2sin(2x)sin(x)+cos(2x)cos(x))+(2cos(2x)cos(x)+sin(2x)(-sin(x))==-2sin(2x)sin(x)+cos(2x)cos(x)+2cos(2x)cos(x)-sin(2x)sin(x)==-3sin(2x)sin(x)+3cos(2x)cos(x)...