Monday, November 27, 2006

golmaal hai bhai sab golmaal hai ...

strictly for engineers. baaki log padhna bhi mat. warnaa gaali doge.

Step 1:

square(1)=1
square(2)=2+2
square(3)=3+3+3
square(4)=4+4+4+4
.
.
.
square(x)=x+x+x+x ... x times

Step 2:

Differentiate on both sides

LHS = d/dx (square(x)) = 2x

RHS = d/dx (x+x+x+ ... x times) = 1+1+ ... x times = x

2x=x

How is this possible? Happy solving. Agar fundae gol huwe to pataa chal jayegaa.

-Kashy

4 comments:

Ashutosh said...

here function is defined only for positive integers. Hence function is not continuous. So d/dx of x^2 is not defined.

Kashy said...

sahi jawab .. aap 20 lakh jeet gaye ho .. ab kyaa aap bumper round khelnaa chahengein?

astroid said...

oh.. I came in too late would have won it...

Abhishek Rege said...

also d/dx of x^x is not x
cant ignore "x" times .....