@eddiedoesmath: The derivative of e^x = e^x | The function that equals itself Save if you found this useful! [Derivative Of e^x, Why Is e^x Its Own Derivative, Exponential Functions Explained, What Is e In Math, Calculus Basics SAT, SAT Math Concepts, Understanding Derivatives, Rate Of Change Explained, Exponential Growth Explained, Precalculus Concepts, AP Calculus AB Basics, AP Calculus BC Concepts, Math Help SAT Prep, Functions And Derivatives, e To The Power x Explained, Intro To Calculus, Math Concepts Made Simple, Learn Calculus Fast, Exponential Models In Real Life, SAT Math Tips, EddieDoesMath, MyEdSpace]
EddieDoesMath
Region: US
Friday 08 May 2026 03:33:13 GMT
Music
Download
Comments
فيصل 🇦🇪🇱🇧🇵🇸 :
using taylor series while finding the derivative of e^x is circular reasoning as you need the derivative of e^x to find the taylor series expansion of e^x
2026-05-24 18:02:41
5
Safi :
your proof is wrong since using taylor series presumes the derivative of e^x is e^x
2026-05-09 14:11:29
236
haard.climbs :
This is circular, the derivative is used to get the Taylor expansion of e^h. Therefore the only way to prove this is to use other methods to evaluate the limit. And no, you can’t use L’Hospital’s rule either.
2026-05-08 06:22:17
269
jonny21110 :
This is thé worst proof I’ve ever seen. You can’t do this.
2026-05-09 20:05:25
27
marxslop :
d/dx[e^x] = xe^x-1 😅
2026-05-09 05:42:07
77
---- :
this is completely circular since the Taylor series of f(x)=e^x is Σ[f'(x-a)/n!]*(x-a)^n. you literally can't derive the Taylor series of e^x without already knowing the derivative of e^c
2026-05-12 22:53:07
0
Jonathan :
but that proof has nothing to do with 2.718....., you are just using e as a variabel
2026-05-26 16:43:14
3
vespero :
oh boy, circular demonstration.
2026-05-29 20:00:53
6
Anouar :
Is it because: f’(x) = e^x * ln(e) = e^x
2026-05-09 11:52:45
13
Bela :
I thought it was because, a number that approaches 0 divided by a number that approaches 0 is just 1, because any number divided by itself is 1.
2026-05-26 05:48:15
0
Mejiarma :
As h reaches 0, limit = [ ( e^x - e^x ) / h ] = 0/h = 0
2026-05-10 15:03:16
0
Le Wronskien :
😅and of course Taylor series come from derivatives so your proof it's quite circular
2026-05-09 16:50:50
7
poppi256 :
If you use Taylor, then you could have aplied it at first hand. You dont need even the limit. just derive the Taylor series
2026-05-09 17:02:21
2
King_Chlamydia :
Crazy nice graph there with zero effort😭
2026-05-11 06:20:49
1
Owaes Atme :
you can use tylor to prove that
cause you dont now tylor for e if you dont now the derivative
2026-05-18 09:38:04
1
romariohx :
That’s not a proof . The derivative of e^x is e^x cause we defined it that way , trying to find the derivative of a^x . 😉😉
2026-05-10 01:27:36
2
😴 :
The taylor series require the derivative of e^x. Also it is inappropriate to show that the series 1 + h + h^2/2! + … approach 1 wothout a proper proof, since it is the sum of infinite number of terms
2026-05-10 07:11:08
2
Janaya ✝️ :
circular reasoning mate
2026-05-09 08:13:47
6
emmanueloppong886 :
i love how you try to explain from basic concept.
2026-05-11 14:19:36
1
Gold3nn :
what is h for?
2026-05-10 19:27:02
1
poppi256 :
just proof it by d/dx of the Euler or Bernoulli formula (idk whats the name) lim((1+x/n)^n) :
2026-05-18 16:39:43
1
Joe.Hunting :
Wrong, It’s circular reasoning.
2026-05-10 08:32:24
1
roadsahead23 :
I have no idea how Taylor series works imma just take ur word it makes sense 😂
2026-05-19 05:57:37
1
Cours_En_Ligne_CORAN_ARABE :
thank so much 🥰
2026-05-09 15:57:07
1
To see more videos from user @eddiedoesmath, please go to the Tikwm
homepage.