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D[x[sup]2[/sup]]/dx = x

  1. May 30, 2004 #1
    d(x^2)/dx = x

    d(x2)/dx = x

    PROOF:

    d(x2)/dx = d(x + x + x + ....... (x times))/dx

    = d[x]/dx + d[x]/dx + d[x]/dx....... (x times)

    = 1 + 1 + 1 + ....... (x times)

    = x

    QED

    :wink:
     
    Last edited: May 30, 2004
  2. jcsd
  3. May 30, 2004 #2

    arildno

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    [tex]\frac{d}{dx}\sum_{i=1}^{x}x=(\frac{d}{dx}\sum_{i=1}^{x}1)x+\sum_{i=1}^{x}\frac{dx}{dx}=x+x=2x[/tex]
     
  4. May 30, 2004 #3
    What a new invention ! <<:thumbsUp:>>
     
  5. May 30, 2004 #4
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