A 'proof' of the power rule

[@AGTfan-se5ql]

Love your videos! I was a math major but I ended up getting a job in IT, and these are great for refreshing my memory on what I’ve forgotten since school. Keep being awesome!

[@kathymckenzie9164]

Your connection to the learner is outstanding -- a well done and bravo from a long time mathematics teacher!

[@punditgi]

These videos are proof that Prime Videos is a great teacher! 🎉😊

[@PrimeNewtons]

Glad you like them!

[@pedroivog.s.6870]

I always see the proof using binomial theorem, but this one is crazy! It even extends to a non integer power. But I wonder why it doesn't count as a proper proof.

[@theguy632]

Amazing proof... Loved the video man!

[@malharnandurkar890]

Brilliant, Most people cover this proof only for Natural Numbers! A video covering it for all reals is a gem!

[@kingbeauregard]

It's comforting that we end up with the same results even when we get there via very different means. Not exactly a surprise, but it's still nice to see.

[@joeheafner2495]

And no Binomial Theorem in sight!

[@PrimeNewtons]

I did another a while ago with the binomial Theorem

[@joeheafner2495]

@@PrimeNewtons I saw it! I never learned that proof when I took calculus.

[@icafe36485]

How interesting you explained it, I enjoyed it❤❤❤

[@EE-Spectrum]

Great video. It's true, I must never stop learning.

[@JonathanJardine]

Awesome proof.

[@irenicgaze]

thank you so much for you help! you're a life saver, wish you were my teacher :)

[@yerboy8618]

Brilliant💯🥇

[@jf3518]

Great Video! I would like to see a proof via first principle.

[@botan_bratan]

cool, but what if X is negotive?

[@brucefrizzell4221]

Well played !

[@masoudhabibi700]

Why did you not answer my question? Is it possible to simplify the numerator and denominator of a fractional function before drawing, for example (x^2-x-2)/(x^3-1) the value of (x-1)... Thanks

[@PrimeNewtons]

Email me a problem that requires this explanation, and I'll give you an answer. It's the best way to get direct answers from me.

[@HeckYeahRyan]

woah this is so cool

[@southsleeper]

wow! that was great

[@SQ.c5]

Can you please, do FTC proof

[@rofl.connoisseur]

my man👊🏾

[@starlonga]

Beautiful

[@xavierwarren9799]

Wow its been awhile since ive touched math and i could still follow this...im shortchanging myself badly 😢😊

[@katlegotsotetsi2131]

beautiful💫 I'm gonna pass my exam for sure🔥🔥🔥

[@thusoramakobya7054]

this is high order

[@pied6]

Holy shit

[@RobertKashila]

He's a goat 🐐

[@abel-pw3dk]

Allahu Akbar