Home » 14 – What is Euler's Number 'e', Ln(x) – Natural Log & e^x Functions? c squared financial

# 14 – What is Euler's Number 'e', Ln(x) – Natural Log & e^x Functions? c squared financial

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In this lesson, you will learn what Euler’s number is and why it is important in math. We will learn that Euler’s number comes from the exponential growth of money when the compounding period is allowed to get very, very small. Euler’s number is then used to form the natural exponential function e^x and its inverse, the natural logarithm ln(x). The exponential function is special because it is the only function whose rate of change is equal to the value of the function itself and whose area under the curve is also equal to the value of the function itself. .

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14 – What is Euler's Number 'e', Ln(x) – Natural Log & e^x Functions?

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14 – What is Euler's Number 'e', Ln(x) – Natural Log & e^x Functions?
c squared financial
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## 22 thoughts on “14 – What is Euler's Number 'e', Ln(x) – Natural Log & e^x Functions? c squared financial”

1. Thanks a lot and I am reminded of my days 58 YEARS ago.

You are such a very , very good teacher.

2. Euler number was used in the movie “Hidden Figures” when changing from a elliptical to parabolic orbit for NASA space capsule to return to earth.

3. very beautifully explained

4. Thank you for another great lesson

5. 9:25 – Compound Interest
20:56 – Continuous Compounding

6. Master

7. The man should be second legend besides Einstein and Elon musk.

8. Who is this guy?

9. Actually it’s pronounced eeyooler. Not oiler.

11. Didn't even noticed that 43 minutes of my life just passed by watching a lesson that had nothing to do with my life BUT it was the most interesting thing that I learnt today just for the sake of general knowledge…..thank you……bless you son.

12. WOW……never thought mathematics was so interesting.

13. Some Heroes don’t wear capes…

14. Fascinating video , so brilliantly explained.Excellent video,thank you.

15. 6 minutes and you still haven’t got to it.

16. The definition of e is the fifth letter of the alphabet.

17. Excellent explanation…

18. Wow I now feel smarter than the average Joe and feel as smart as Einstein

19. so what ! (e) pops up everywhere … please, give us real life examples where slope and area are using (e). When I asked to my math prof what it was used for I always got the same answer: I have no practical examples I can give you, but it looks nice, isn't it. It's a beautiful formula. Totaly useless, they would answer me. … same here.

20. beautifully done! much appreciated.

21. Thanks.