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函数y=xsin2x的导数是()A.y′=sin2x-xcos2xB.y′=sin2x-2xcos2xC.y′=sin2x+xcos2xD.y′=sin2x+2xcos2x

题目详情
函数y=xsin2x的导数是(  )
A.y′=sin2x-xcos2x B.y′=sin2x-2xcos2x
C.y′=sin2x+xcos2x D.y′=sin2x+2xcos2x
▼优质解答
答案和解析
由y=xsin2x,
则y =(xsin2x) =x sin2x+x(sin2x) =sin2x+xcos2x•(2x) =sin2x+2xcos2x.
故选D.