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

  • Thread starter Ursole
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  • #1
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Main Question or Discussion Point

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:

Answers and Replies

  • #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]
 
  • #3
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Ursole said:
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
What a new invention ! <<:thumbsUp:>>
 

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