FIND THE FALLACY

This was given in the Vedas(or Shastras) about a year ago.

You can't differentiate the LHS like that since x is a variable.While differentiating,

\mathbf{\frac{d (x+x+\cdots +x)}{dx}=\frac{d(x\cdot x)}{dx}}

Now comes the mistake,we are taking one of the x out of the product and treating it like a constant.(This is the x given as "x times").Hence we get the result,

\mathbf{\frac{x\cdot dx}{dx}=x}

which is not equal to the RHS.

I want to include something.When you are writing ...x times x should be a rational number.But when you prove something with variable then it should be valid for all real numbers i mean the whole euclidean space.Hence the proof is invalid.

I want to say something.This is an old method.Think different new.