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Fractional Derivatives, Part 1 - Powers

How do you define the half-derivative of a function? Does this even make sense?! As it turns out it's not too difficult to do this once you understand the gamma function. We start with some basic examples of integer-order derivatives of powers of x and then generalize this to fractional-order derivatives. All of the background for this is covered in a previous video on the gamma function, linked below. The Gamma Function:    • The Gamma Function   Looking for a specific problem or topic? Try checking my website: https://www.blacktshirtmathprofessor.... ► Artist Attribution Music By: "After The Fall" Track Name: "Pieces" Music Published by: Chill Out Records LLC License: Creative Commons Attribution 4.0 International (CC BY - 4.0) Full license here: https://creativecommons.org/licenses​