# Find current flowing over an element given charge as a function of time

This should be pretty basic but I want to clarify some:

I = dQ/dt, so that means that I is the derivative of q(t) right?

So if I'm given q(t) = (7t^2 - 2t +3) pC and told that time is dimensionless for simplicity.

So to solve it I would take the derivative and get 14t-2 (units? pC/time?) Am I doing this right? How would I determine the unit for the answer if t is dimensionless?