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- [Voiceover] So in this video were goint to talk about Eulers formula. And one of the things I want to start out with is why do we want to talk about this rather odd looking formula? Whats the big deal about this? And there is a big deal. And the big deal is e. We love e. And Ill underline that twice. Now the reason is, because when we take a derivative of e D DT of e to the x equals e to the x. And D DT of e to the ax so where a is anything equals ae to the ax. And so the property is that when you take a derivative of the function, the same function comes out. Or, if you take a derivative of the function a scaled version of the same function comes out. And we love this, because why? Because when we do differential equations e to the x is the solution. Almost every time. Whenever we did a circuit e to the x was the answer. If you recall from when we were solving circuit simple circuits with differential equations that we always said something like well were gonna guess that V of
