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Exploring the Power Rule with Two Fun Examples

This video provides two fun examples that encourage us to explore the Power Rule. First, we are given the derivative in limit-definition form and asked to find the original function. This can be done by identifying the function in the limit definition of the derivative. Once we have that, we can quickly take the derivative using the Power Rule and evaluate it at the desired point. The second example gives a polynomial and asks us to find the first, second, third, and fourth derivatives by repeatedly applying the Power Rule. ADA-compliant subtitles/captions