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

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.