In this video I calculate the fractional and imaginary derivatives of e^(kx), cos(x), and sin(x). And you’ll see, there are many surprising and unexpected results! This video might change your way you think about the derivative of cos(x) and sin(x). Enjoy!
Note: There’s a typo in the end; there should be no i in sinh(pi/2 i), it should just be sinh(pi/2)
Here’s the link to the first fractional derivative video: https://youtu.be/gaAhCTDc6oA