+0

# Can somebody give me a good explanation on Euler's number?

0
540
2
+1191

Can somebody give me a good explanation on Euler's number?

DarkBlaze347  May 17, 2015

#2
+93691
+15

I don't pretend to understand this very well myself but one very important quality of e is that if you graph $$y=e^x$$ on the number plane then the gradient of the tangent to the curve at any point is also    $$e^x$$

In terms of calculus this means that if

$$\\y=e^x\;\;then\\ y'=e^x\quad too.$$

Also

This is a very important fact when dealing with continuous exponential growth and decay.

Here is another site

http://en.wikipedia.org/wiki/Exponential_function

Melody  May 18, 2015
#1
+90056
+13

Here you go, DB.......not too difficult to understand, I don't think.......

http://www.mathsisfun.com/numbers/e-eulers-number.html

CPhill  May 17, 2015
#2
+93691
+15

I don't pretend to understand this very well myself but one very important quality of e is that if you graph $$y=e^x$$ on the number plane then the gradient of the tangent to the curve at any point is also    $$e^x$$

In terms of calculus this means that if

$$\\y=e^x\;\;then\\ y'=e^x\quad too.$$

Also

This is a very important fact when dealing with continuous exponential growth and decay.

Here is another site

http://en.wikipedia.org/wiki/Exponential_function

Melody  May 18, 2015