Derivative of Sqrt (x) from first principles

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In this video , I showed how to differentiate square-root of x from first principles

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The first principle is to watch all the videos by Prime Newtons! ❤🎉😊

punditgi

Wow, No one can explain it better than this, this guy does not skip even the obvious step….impressive, clear.

AliM-gftq

You reminded me of this lesson when I was 17 years old. Now I am 60 years old. Thank you.

mustaphaballaji

*_Never stop learning._* Advice I liked to give my own students. And when you master the understanding, you can more easily do word problems.

😎♥✝🇺🇸💯

RodMartinJr

As soon as I saw you I just knew it was gonna be exactly what I needed. Cheers mate

lucas-nwn

Once i learned the power rule, I never looked back. But this is so important to know...its how you solve complex stuff

brrrayday

Along with the math, dispensing valuable life advice like "never touch the bottom"

richardbraakman

How fabulous the presentation on the math question😊

JAMESYUN-et

Finally i got what i was Searching for ☺️☺️♥️♥️
love your sir from 🇳🇵♥️

PAGALM-jyqq

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.

kingbeauregard

Great explanation thank you! What chalk do you use? It looks amazing by the way.

ejc

Is it possible to use the same principle to prove the derivation rule for generic radials (derived from the nth root)?

EnzoMariano

The coolest maths teacher I've ever seen 😎👍Your explanations are very clear and easy to understand 😊 Thank you for such lovely videos 😇

prakrit

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

JourneyThroughMath

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 😅😅

Samir-zbxk

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.

DefenderTerrarian

Where is the 1/root x derivative video? I can't find it on your channel sir.

ThOneWhoWaits

Please explain the derivative of a factorial function

doctorno

... 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) ...

jan-willemreens

Should we as viewers scower your videos to see which principles you havent done

JourneyThroughMath

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