What is the derivative of the function
f(x)=e³ˣsin(2x)?
A. 3e³ˣsin(2x)+2e³ˣcos(2x)
B. 3e³ˣcos(2x)-2e³ˣsin(2x)
C. 3e³ˣsin(2x)-2e³ˣcos(2x)
D. 3e³ˣcos(2x)+2e³ˣsin(2x)