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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?

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. 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.

  2. 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.

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