Were finally almost done with chapter 3. Test is next week for it and I think I'm ready. We learned the exponentiation and natural log rules for derivatives this week too. One thing we learned that I thought was interesting was the derivative of e^x is e^x. I know e is Eulers number, but I have no clue what it's used for besides ln which is just log base e. And even with ln, it had no purpose (that we've learned in high school) other than to get rid of e when simplifying. To solve exponentiation variables questions by had you can just use normal log. Anyways, I was thinking about how e equals 2.71 something. I wonder if e was invented or discovered because its equation that equals itself as a derivative. I think e also is used for some money problems banks use like compounding interest or something. I kind of remember doing it awhile ago if previous math classes but it was so long ago I forgot. So what came first, the chicken or the egg. Was e invented/discovered because its derivative to x equals itself, or is it just chance that it does.
update: I read some of stuff about e and what is and how it works. It makes sense now for interest and stuff.
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January 2018
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