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

Here I prove that the derivative of e^x is e^x. #calculus #calculusab #proofs #euler #derivatives #derivative

[@NoahBugbee]

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]

NICE! love the longer video bro!

[@octs609]

just discovered your stuff very nice content.

[@yassimolaoc2885]

Nice video👍

[@dice-uj2sr]

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 😮

[@TANMAYKATHURIA-sm8xf]

thanks for the vid bud i requested it

[@manganari8022]

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]

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

[@Thomas-yl8lb]

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

[@philcollinslover56705]

thomas u r gay

[@dl3al_]

;)

[@kyleo.6946]

nice hat. go hawks!

[@NoahBugbee]

Go Hawks!