I'm testing parts for a lab at school that measure current as a function of voltage. With different sized devices I can scale the results easily lets say I want to estimate the current of a device that is twice the size of the original device, I multiply the current by 2 at that same voltage.
However, I am being asked to find the d^2I/d V^2, second derivative of the curve. I believe this results in a unit of Amps/Volt*Volt, A/VV, A/V^2 as I am looking for the how much the current changes over voltage with respect to another voltage. How would I scale a device that's twice as big for a second derivatives, A/VV^2. please let me know if i am confused and probably have confused others with this post. One thought was that I scaled it using 2^2. Looking forward to any help/understanding you guys can provide Thanks!