QUICKLY Take Derivative of Square Root Functions #Shorts

Here's how we can take a common derivative (derivative of square root of x) very quickly!

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Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information.

[BriTheMathGuy]

🎓Become a Math Master with my courses!
Prove It Like A Mathematician! (Intro To Math Proofs)

[God-ldll]

I did it in half a second, leaving you in second place. Kidding of course

[UnCavi]

I don't get this video. The trick to compute the derivative of a square root is... to memorize the result? Ok, I guess?

[jamiewalker]

This is called instrumental teaching. Rules without reasons. So a student who may have learned this and only this (or for whom the power rule wasn't properly understood), will try to extrapolate erroneously (through no fault of their own) and perhaps differentiate the cube root of x as 1/(3*cube root of x). Teach relational rather than instrumental maths.

[leandrobayonito]

It's clear.
Instead of pulling the fractional exponent to a coefficient, which the new exponent is negative number counterpart since it always deduct by 1, it makes it a shortcut.

The sames goes to a expression in a function where "expression" is treated as a single unit. Instead of using a variable like letter "u" as a substitution, it retrns the derivative into the same answer.

[kameronpeterson]

I feel like this is unnecessary, if something works let it work. When it comes to derivative rules, I think that just teaching how to convert this radical into an exponent so you could use the power rule would be easier on the student instead of teaching a special case on top of that. It's more versatile. And from the student's perspective there's no intuitive way of understanding, for instance, why it turns into a fraction, where the 2 comes from, etc. Teaching as few special cases as necessary teaches the student how to combine steps when solving a problem.

[timetravelers]

Oh my god you have just saved me. I have been struggling with this because i kinda skimped out on my Cal A course. This has helped me tremendously.

[SAKSHI-gmtk]

He totally said right..i am from india ..❤️🇮🇳
And here my teacher too told me to solve ques this way it's very easy to do like this ❤️😊...
Btw we learn all the basics formulae like this and apply chain rule that helps a lot in solving differential and integration questions

[barcher]

You are awesome! Calculus is a means to a end for me, so stuff like this helps me out!

[winter]

I learnt that in high school, it's not a trick it's just a thing you learn in class

[spelunkerd]

You make a good point, if you're doing math every day, there are many short cuts you can memorize. But don't forget you're teaching people who may need to remember first principles, years later. All the memorized bits will be quickly forgotten.

[jakenelson]

Currently watching at 2:06 am as I have a 1/5th life crisis, but this is really useful

[arielfuxman]

I thought he was going to hit us with the implicit differentiation:
y = sqrt(x)
y^2 = x
2yy'=1
y'=1/2y=1/2sqrt(x)

[luisclementeortegasegovia]

What if its the derivative of a cubic root?

[TxRogue]

So you’re telling me I wrote pages of steps for nothing? 🙂

[LittleGoblinBoi]

Wait a minute, I've been thought to do it like this from the very beginning over here in Romania and the answer instantly jumped to mind... why haven't you guys been thought of it this way? It's much easier

[bob_kazamakis]

So just use the power rule in application but don’t write it all out. Got it

[aristo]

Why was this so helpful yet so simple it’s annoying me I didn’t just do this 😂

[Thtan]

I feel like this is less of a cool trick and more of a I’ve done enough derivatives that I now remember the patterns type thing

[firebird]

That actually takes longer, why would you do this? Plus, if you want to put aside power rule you will need to show me your identity derived from first principles, no cheating now…