It was Stardate 2267. A mysterious life form known as Redjac possessed the computer system of the USS Enterprise. Being well versed in both computer operations and mathematics, [Spock] instructed the computer to compute pi to the last digit. “…the value of pi is a transcendental figure without resolution” he would say. The task of computing pi presents to the computer an infinite process. The computer would have to work on the task forever, eventually forcing the Redjac out.
Calculus relies on infinite processes. And the Arduino is a (single thread) computer. So the idea of 
running a calculus function on an Arduino presents a seemingly impossible scenario. In this article, we’re going to explore the idea of using derivative like techniques with a microcontroller. Let us be reminded that the derivative provides an instantaneous rate of change. Getting an instantaneous rate of change when the function is known is easy. However, when you’re working with a microcontroller and varying analog data without a known function, it’s not so easy. Our goal will be to get an average rate of change of the data. And since a microcontroller is many orders of magnitude faster than the rate of change of the incoming data, we can calculate the average rate of change over very small time intervals. Our work will be based on the fact that the average rate of change and instantaneous rate of change are the same over short time intervals.
Looking at the “before” pictures on [John]’s blog, we can see why he’d want to invest the effort – not exactly an attractive way to greet guests at the front door. A simple wooden box to replace the previous cover would have sufficed, but why pass up the opportunity to add value? [John] opted for a Nixie tube display to complement the glass of the electric meter. The Nixie modules were a bit on the pricey side, though, so with only a pair of tubes to work with, [John] came up with a clever system to indicate the scale of the display. We doubt he’ll ever see megawatt-level instantaneous power draw, but the meter is also capable of totalling energy use, and as a bonus an ESP-8266 gives lets him stream data to the web.
