Найти производную функции: f(x) = xsin(2x+1)

Question

Найти производную функции:
f(x) = xsin(2x+1)

Answer 1

(u*v)'=u'*v+u*v'
(sin(u))'=cos(u)*u'
f'(x)=1*sin(2x+1)+x*2cos(2x+1)= sin(2x+1)+ 2xcos(2x+1)

Answer 2

Sin(2x+1)+2xcos(2x+1)