ddx (xcos(x))=cos(x)xsin(x)
 
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ddx (xcos(x))=cos(x)xsin(x)
  • steps
  • ddx (xcos(x))

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

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

  • Simplify
    =cos(x)xsin(x)

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