Hey tell me the mistake... I have proved 2=1

x²= x*x

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

lets take derivatives both side...

d/dx(x²)=d/dx(x+x+x+x+...(xtimes))

2x=1+1+1+1+...(x times)

2x=x

2=1

I can’t find the mistake...this is not possible..

It is pretty clear that, adding a number `x` times makes sense only if `x` is a positive integer. Hence the function X^2 is written this way. So the function X^2 exizts only for integers. This is against the basic requirement of differentiation. A function is differentiable only if it is continuous. But our function is defined only for integers. So it is not continuous. Its discrete and hence not differentiable. Hence wrong.