ddx (xsin(2x))=sin(2x)+2xcos(2x)
 
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ddx (xsin(2x))=sin(2x)+2xcos(2x)
  • steps
  • ddx (xsin(2x))

  • Apply the Product Rule:    (f·g)=f ·g+f·g
    f=x, g=sin(2x)
    =dxdx sin(2x)+ddx (sin(2x))x

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    dxdx =1
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    ddx (sin(2x))=cos(2x)· 2
    =1·sin(2x)+cos(2x)· 2x

  • Simplify
    =sin(2x)+2xcos(2x)

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