In this neat video, I calculate the sum from 1 to infinity of (-1)^(n-1)/n x^n by using exponential derivatives. Of course one could do this directly (which I do as well), but this provides us with a nice application of exponential derivatives, enjoy!
Credit: I would like to thank rainbowgames for coming up with this idea.
Link to the original exponential derivative video: https://www.youtube.com/watch?v=VI6ZlnkuxuA