ddx (xx)=xx(ln(x)2x +1x )
 
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ddx (xx)=xx(ln(x)2x +1x )
  • steps
  • ddx (xx)

  • Apply exponent rule:     ab=ebln(a)
    xx=exln(x)
    =ddx (exln(x))

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    Apply the chain rule:    exln(x)ddx (xln(x))
    =exln(x)ddx (xln(x))

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    ddx (xln(x))=ln(x)2x +1x 
    =exln(x)(ln(x)2x +1x )

  • show steps
    exln(x)=xx
    =xx(ln(x)2x +1x )

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