derivative of everything

0=0
(x+y)(x-y)=(x+y)(x-y)
(x+y)(x-y)=x^2-y^2
(x-y)(1+dy/dx)+(x+y)(1-dy/dx)=2x-2y(dy/dx)
x+x(dy/dx)-y-y(dy/dx)+x-x(dy/dx)+y-y(dy/dx)=2x-2y(dy/dx)
2x-2y(dy/dx)=2x-2y(dy/dx)
0=0

damn!

what exactly are you trying to show?

That equations don't all hold with derivatives?

clearly one can write an "equation" in which all variables will cancle, but:

can you make an equation in which all variables will cancle, but of which one can find the deriviative?

i haven't learned integrals (anit-derivatives) yet, but are they any use here?

it's a bit complex what i'm looking for here, so just show anything you find.

That would be like saying
x=x
and then trying to find the rate of change of x

Originally posted by iamatiger
That would be like saying
x=x
and then trying to find the rate of change of x

Is it x?

Originally posted by fearlessleader
clearly one can write an "equation" in which all variables will cancle, but:

can you make an equation in which all variables will cancle, but of which one can find the deriviative?

i haven't learned integrals (anit-derivatives) yet, but are they any use here?

it's a bit complex what i'm looking for here, so just show anything you find.

If all the variables cancel, you do not have an equation, only a statement. yx=yx is not an equation because there is no parameters for the variables to fall into, an so belong to an endless set, and so one cannot find the derivative for the equation as the derivative is a rate of change for a varible. No parameters = no definition of the varibles change.