(This Question is asked to me in ragging session at IIT Kanpur) as u know x2 = x+x+x+x+................x times differentiating both side 2x = 1+1+1+1+...............x times 2x = x (Which is incorrect) Then find the mistake
comment by rudra.panda(posted on 9 Oct 2008 20:42:39 IST)
x^2 = x+x+x+x+................x this is in correct as x is not a constant. So as x changes the number of x also changes
comment by little_genius(posted on 9 Oct 2008 20:48:17 IST)
the rhs can be calculated for any x iff x is a natural no. but while calculating the derivative of the rhs , f(x+h) = (x+h)+....(x+h) times is not defined since x+h is not a natural no. hence derivative of the rhs does not exist ....and hence the contradiction....:)) nice to reply after such a long time.......
comment by abhishekperiwal(posted on 9 Oct 2008 20:52:09 IST)
rudra.panda......ur solution is wrong little_genius well done
comment by vercitty(posted on 9 Oct 2008 21:18:22 IST)
Isnt the expression x^2=x+x+x+x+x+x+x+x....... wrong? Because, for that x have to be a natural no:.?
comment by sahilgupta_iit(posted on 9 Oct 2008 21:33:21 IST)
i think we can differentiate a function when it's in the simplest form.
comment by astatine19(posted on 10 Oct 2008 00:26:54 IST)
the mistake is simple - you are differentiating a discontinuous function!
comment by rahul_rao(posted on 10 Oct 2008 18:31:36 IST)
x has to be only natural number.
comment by blade(posted on 10 Oct 2008 18:45:58 IST)
Since x is a constant, its differential is 0.
comment by vercitty(posted on 10 Oct 2008 19:15:53 IST)
what little genius said is correct lol. I didnt read that b4 posting. Read it and post if u have doubts lol. Dont just spam.
comment by ayu_dxt(posted on 11 Oct 2008 21:48:39 IST)
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