Question

DERIVADA DE y=xcos2x - sen²x

Answer 1

Regra do produto

$\boxed{(u*v)'=u'*v+u*v'}$

Regra da cadeia

$\boxed{u(v)'=u'(v)*v'}$

Então, temos que:

$y=x cos2x-sen^2x\\\\ y'=[cos2x+x(-2sen2x)]-2senxcosx\\\\ y'=cos2x-2xsen2x-2senxcosx\\\\ \boxed{y'= cos2x-sen2x-2xsen2x}$