Exercise 1: Taylor Derivatives Equal the Function's Derivatives at x = a

In this video I prove that the derivatives of a Taylor Polynomial are equal to the derivatives of the corresponding function used in the approximation when x = a. This is because any derivative at x = a of any Taylor polynomial cancels out all the terms (since a - a = 0) except the first term, which is just the corresponding derivative of f at x = a. https://youtu.be/UqWf2PE1OeE

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