top of page
  • Jesse Sakari Hyttinen

The magic of Euler's number - Jesse Hyttinen

Updated: Apr 21, 2021


Hi and welcome to the Matladpi blog! In this post I will show some nice (magic?) tricks you can make with the Euler's number.

Now what is Euler's number? It has a symbol e with an approximate value of e = 2.71828... and it has the following nice property: Let there be a function f(x) which is differentiable and continuous in the domain of x. Then the derivative of e^(f(x)) is e^(f(x)) times the derivative of f(x). This property can be utilized in the next tricks I will show you, but before that, let us show that e really is 2.71828..., for the case f(x) = x:



Here are the tricks!



So when there is an exponential function, you could perhaps utilize these tricks at least in these two situations. Njäf! said.

I am Jesse Sakari Hyttinen and I will see you in the next post!

15 views0 comments

Recent Posts

See All

A new book - Jesse Hyttinen

I have now written five math books, and may write another one in the following year. The current book includes new viewpoints about very well known numbers. Examples include pi and Euler's number. The

Singularity - Jesse Hyttinen

Hi and welcome to the Matladpi blog! Singularity. What a fascinating subject. You know, the point r = 0 for r^(-2), is a singularity. Another one could be the point m = 0 for ln(m), or a = pi/2 for ta

Post: Blog2_Post
bottom of page