How to Calculate Relative Rates of Change with a*v=s*w?

[flash9286]

if you have a*v=s*w how do you get:

delta a/a+delta v/v=delta s/s+delta w/w

can anybody explain why this is true.

 

[arildno]

Well, fiddle about with the expression:
(a+\delta{a})(v+\delta{v})=(s+\delta{s})(w+\delta{w})

 

[flash9286]

I'm sorry I don't follow

 

[arildno]

What do you not follow?
Do you not understand that the equation av=sw holds for different choices of "a", "s", "v" and "w", including the choices (a+\delta{a}),(s+\delta{s}),(v+\delta{v}),(w+\delta{w})?

 

[flash9286]

Nevermind I got it. Thanks for your help