y'=2sin(2x+π/3)*[sin(2x+π/3)]'=2sin(2x+π/3)*cos(2x+π/3)*(2x+π/3)'=2sin(2x+π/3)*cos(2x+π/3)*2=4sin(2x+π/3)*cos(2x+π/3)=2sin(4x+2π/3)望采纳，如有不妥请回复。
