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When we see this notation being used in such formulas as i=dq/dt (definition of current) or dy/dx (etc, etc), are we saying (in the case of current) that current is equal to the change in charge with respect to time? Or is it the "current equal to the change in charge with respect to the change in time"?

What if, hypothetically, the definition of current were written as i=d/dt. Does this mean "current is equal to the change in time"?

I have always had issues reading/saying/comprehending leibniz notation. I know the calculus (meaning solving the problem), I just need to conceptualize what it represents. I hate solving a problem and NOT knowing what I'm doing. :(

Any help is highly appreciated.