Proving The Derivative Of e^x Is Equal To e^x

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  • čas přidán 16. 05. 2024
  • Here I prove that the derivative of e^x is e^x. #calculus #calculusab #proofs #euler #derivatives #derivative

Komentáře • 13

  • @NoahBugbee
    @NoahBugbee  Před 15 dny +8

    Sorry if it got a little convoluted around the composite function part. The simpler but less rigorous reason we can put the limit in the natural logarithm is because n can only be found within the natural log. Please give me your feedback on this one.😀

  • @shafiqkhalil3038
    @shafiqkhalil3038 Před 14 dny +1

    NICE! love the longer video bro!

  • @octs609
    @octs609 Před 13 dny

    just discovered your stuff very nice content.

  • @dice-uj2sr
    @dice-uj2sr Před 14 dny +2

    Great video sir 👍 I didn't get the inference of it being continuous and it's limits existing😅 like what does that means? Then I watched another video on it and it all clicked thanks a lot always found it strange that e^x is the same in differentiation 😮

  • @yassimolaoc2885
    @yassimolaoc2885 Před 14 dny +1

    Nice video👍

  • @manganari8022
    @manganari8022 Před 9 dny

    nice vid tho i'm not sure this approach is correct: exponential is defined as a function f(x) such as f'(x)+c = f(x) what can be done tho is proving that e=lim n->0(1+n)^1/n or simply approximating the value of e, you can do that easily with tailor series i guess.

  • @sachavalette1437
    @sachavalette1437 Před 2 dny

    exp is ln^-1 so exp'(x)=1/ln'(exp(x))=exp(x)

  • @TANMAYKATHURIA-sm8xf
    @TANMAYKATHURIA-sm8xf Před 11 dny

    thanks for the vid bud i requested it

  • @Thomas-yl8lb
    @Thomas-yl8lb Před 13 dny +1

    You like math AND you're cute! Keep it up!

  • @dl3al_
    @dl3al_ Před 12 dny

    ;)

  • @kyleo.6946
    @kyleo.6946 Před 12 dny

    nice hat. go hawks!