Question

Найдите производную функции у=sinx-x cosx

Answer 1

$y'=(sin x- x*cos x)'=(sin x)'-(x*cos x)'=\\\\cos x-(x)'*cosx-x*(cos x)'=\\\\cos x-1*cos x-x*(-sin x)=x sin x$

Answer 2

=cosx-(cosx+x*(-sinx)=cosx-cosx+xsinx=xsinx