If f(x)=exsinxf(x) = e^x \sin xf(x)=exsinx, then f′(x)=f'(x) =f′(x)=Aexcosxe^x \cos xexcosxBexsinxcosxe^x \sin x \cos xexsinxcosxCex(cosx−sinx)e^x(\cos x - \sin x)ex(cosx−sinx)Dex(sinx+cosx)e^x(\sin x + \cos x)ex(sinx+cosx)check_circleExplanationexsinx+excosx=ex(sinx+cosx)e^x \sin x + e^x \cos x = e^x(\sin x + \cos x)exsinx+excosx=ex(sinx+cosx).