Linear Algebra Derivative

In this video, I’m do something really cool! I calculate the derivative of a function without using calculus, but using linear algebra instead. Well, almost without calculus, since I still need to know the derivatives of 1, x, x^2. This little exercise is a beautiful illustration of the interplay between linear algebra and calculus, and is probably how your calculators use linear algebra to calculate derivatives. Enjoy!

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Questions?