HELP! WHAT IS e???? (1 Viewer)

[supermike]

hi when i study log and expo functions, expecially the calculs part, i dont quite grasp the concept and origin of "e" i mean, y is it always like the default base of all log functions that r meant to be differentiated??
plz plz plz help guys!!!!!!!!!!



:burn::burn::burn::burn::burn::burn:

 

[hopethisworks]

anything is a default base.

e is used for simplicity

 

[hopethisworks]

anything is a default base.

e is used for simplicity

paradox?

no

 

[supermike]

ths but a more diametrical explanation would be much appreciated

cheers

 

[hopethisworks]

think about it this way

 

[Drongoski]

refer to thread on: Re: [Which do you prefer working with] pi or e

 

[Prashant Sallan]

e is "the natural number" as we learnt..

 

[Timothy.Siu]

at 2unit (or even 4unit), u dont really need to know what "e" is.
just pretend its some number 2.7... or watever

 

[wendus]

it's just a number 2.718281828..................................
like pi

 

[lolokay]

the derivative of e^x is e^x
any other base, a, and you get a constant, ln[a], out the front, so using base e allows us to more easily differentiate and integrate

 

[Drongoski]

it's just a number 2.718281828..................................
like pi

IMO you have explained it best so far without going into the origins of pi and e.

 

[shaon0]

hi when i study log and expo functions, expecially the calculs part, i dont quite grasp the concept and origin of "e" i mean, y is it always like the default base of all log functions that r meant to be differentiated??
plz plz plz help guys!!!!!!!!!!



:burn::burn::burn::burn::burn::burn:

S dx/x {from 1 to e} = 1
ie. if you integrate the (1/x) function from 1 to e, the integral yields the answer 1.

 

[Trebla]

hi when i study log and expo functions, expecially the calculs part, i dont quite grasp the concept and origin of "e" i mean, y is it always like the default base of all log functions that r meant to be differentiated??
plz plz plz help guys!!!!!!!!!!



:burn::burn::burn::burn::burn::burn:

This is simply because log of base e is special in the sense that the derivative of its exponential function gives itself: d(e^x)/dx = e^x

If you did this with any other base other than e, the result wouldn't be as simple and neat.
Here's a non-rigorous derivation of that result if you're interested:

 

[supermike]

wow! thanks heaps guys!!!

u r all awesome, u know dat ???