Question

Найдите производную функции

Answer 1

$y=x\times(\sin x+\cos 6x)\\y'=(x)'(\sin x+\cos 6x)+x(\sin x+\cos 6x)'=\\=\sin x+\cos 6x+x(\cos x-6\sin 6x)=\\=\sin x+\cos 6x+x\cos x-6x\sin 6x$