In this video , I showed how to differentiate square-root of x from first principles
Пікірлер: 38
@punditgi4 ай бұрын
The first principle is to watch all the videos by Prime Newtons! ❤🎉😊
@CharlesShorts4 ай бұрын
Never stop learning
@AliM-gf7tq2 ай бұрын
Wow, No one can explain it better than this, this guy does not skip even the obvious step….impressive, clear.
@mustaphaballaji46284 ай бұрын
You reminded me of this lesson when I was 17 years old. Now I am 60 years old. Thank you.
@RodMartinJr4 ай бұрын
*_Never stop learning._* Advice I liked to give my own students. And when you master the understanding, you can more easily do word problems. 😎♥✝🇺🇸💯
@kingbeauregard4 ай бұрын
What I like about this is, the same skills by which you find the derivative will come into play again when you do epsilon-delta. For a more general proof of the derivate of x^a, I had to resort to logarithmic differentiation.
@brrrayday4 ай бұрын
Once i learned the power rule, I never looked back. But this is so important to know...its how you solve complex stuff
@richardbraakman74694 ай бұрын
Along with the math, dispensing valuable life advice like "never touch the bottom"
@PAGALM-jy9qqАй бұрын
Finally i got what i was Searching for ☺️☺️♥️♥️ love your sir from 🇳🇵♥️
@johnnolen8338Ай бұрын
Very clean proof, my friend. 👍
@edgardojaviercanu47404 ай бұрын
It is just beautiful! Good job.
@user-il8mt2wz9t4 ай бұрын
How fabulous the presentation on the math question😊
@Samir-zb3xk4 ай бұрын
i did this by using newton's binomial theorem to expand (x+h)^(1/2) but then i realized you can just multiply by the conjugate 😅😅
@JourneyThroughMath4 ай бұрын
All first principle videos: Square root, all arctrig except arccot, plus some other various functions. Gotta say, I feel like a bit of a teachers pet doing this, he has a playlist. But its here for the record too
@PrimeNewtons4 ай бұрын
Thank you. Now I know I have to do arccot x
@anirudhk.t75004 ай бұрын
Nice broh 🙌🙌
@stanwellmtonga51032 күн бұрын
Awesome 🙌
@ReyazulislamReayal4 ай бұрын
You are a good teacher ❤
@saarike2 ай бұрын
Just wonderful!!!
@surendrakverma5554 ай бұрын
Very good. Thanks 🙏
@Th3OneWhoWaits4 ай бұрын
Thank you very much sir!
@EnzoMariano4 ай бұрын
Is it possible to use the same principle to prove the derivation rule for generic radials (derived from the nth root)?
@Ahmad-yi6d4 ай бұрын
👍
@DefenderTerrarian4 ай бұрын
I've always wondered: why does the limit definition give the slope? Perhaps I never fully understood it, l'm in Calc3 now, but it seems like you'd get 0 in the denominator, of course that's undefined. Logically, it makes sense, but it's just never worked conceptually in my head.
@Nameless-qe9hu2 ай бұрын
It’s the (y2-y1)(x2-x1) definition of the slope of a line at two points very close together. The goal is to get the “h,” which is technically nonzero, to cancel so that there is no division by 0 when you approximate “h” to be 0
@prakrit12804 ай бұрын
The coolest maths teacher I've ever seen 😎👍Your explanations are very clear and easy to understand 😊 Thank you for such lovely videos 😇
@theshift20044 ай бұрын
You are the best. Many Thanks
@Th3OneWhoWaits4 ай бұрын
Where is the 1/root x derivative video? I can't find it on your channel sir.
@PrimeNewtons4 ай бұрын
kzbin.info/www/bejne/eImUXpWvfq19apY
@Th3OneWhoWaits4 ай бұрын
@@PrimeNewtons thank you very much sir.
@doctorno16264 ай бұрын
Please explain the derivative of a factorial function
@Th3OneWhoWaits4 ай бұрын
Yes! It cant be calculated via first principles but interesting nonetheless.
@jan-willemreens90104 ай бұрын
... f'(X) = LIM(h -> 0) [ SQRT(X + h) - SQRT(X) / h ] ... [ rewriting the denominator in its original form ... h = (X + h) - X ] .... LIM(h -> 0) [ SQRT(X + h) - SQRT(X) / ( (X + h) - X ) ] .... now treating the denominator as a Difference of 2 Squares as follows ... h = (X + h) - X = ( SQRT(X + h) - SQRT(X) )( SQRT(X + h) + SQRT(X) ) ... observing a common factor ( SQRT(X + h) - SQRT(X) ) between numerator and denominator, so after cancelling this factor we obtain the solvable LIMIT form ... f'(X) = LIM(h -> 0) [ 1 / ( SQRT(X + h) + SQRT(X) ) ] = 1 / ( SQRT(X) + SQRT(X) ) = 1 / 2*SQRT(X) ... the derivative of f(X) = SQRT(X) ...
@blackovich4 ай бұрын
I love you ❤
@JourneyThroughMath4 ай бұрын
Should we as viewers scower your videos to see which principles you havent done