Найти производную функции y=sin(2x-1)e^ax

Question

Найти производную функции y=sin(2x-1)e^ax

Answer 1

y'=(sin(2x-1))'e^ax+sin(2x-1)(e^ax)'=2cos(2x-1)e^ax+asin(2x-1)e^ax=

=e^ax (2cos(2x-1)+asin(2x-1)).