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!