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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

275.0. "d(x**2=x+x+...x)/dx --> 2x=x !" by SPRITE::OSMAN () Wed May 01 1985 15:57

I saw a reference to the following in net.math, but I didn't see a real
answer to it.  Start with the equation

         2    
        X   =   X  +  X  + X . . . + X

Take the derivative of both sides:

       2X   =   1  +  1  + 1 . . . + 1

hence

       2X   =   X

Where'd we go wrong ?
           
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275.1SPEEDY::BRETTWed May 01 1985 17:389
As soon as you took the "derivative" of a non-differentiable function namely

	F(X) = sum(1..X) X

which is only defined on the integers.  If you generalize G(X) to be some
smooth curve thru the above F(X) you will soon realize the error you made
in the differentiation.

/Bevin