Why do you need to find current,you can directly say from charge profile what circuit element resembles.
For sake of your title being charge & current relationship,find current,using relationship between I & Q.
The charging currents of a capacitor & inductor matches it,but the values you get for V0(capacitor),I(inductor)!!!!!
It's not a homework question, but I want to understand how it works. In this case, the graph of the charge versus time (see the function q(t)) goes from 0 to 2 C in milliseconds, and stays constantly at 2 C. I wonder what kind of device would do this?