From what I remember the derivative is the tangent of the curve described by the function and shows the gradient of the tangent line. So a tangent cannot have units.

This is how far I can go...!

I understand what you are trying to say as a rate of change (like the slew rate of an op-amp). But on functions, a derivative I am sure is just a number, showing the direction of the curve at that point.

Maybe a math guru is listening here to give a hand?

Ioannis

P.S. Since all the maths I learned was in greek language, maybe the terms I am using are not the proper ones, so.... I am sorry for that!