I've had a few cycles where I learned calculus,then forgot it, then learned it again, then forgot, etc. With time, the 'easy tricks' disappear, and the hardwired core of knowledge stays with you. So, if you spend your time memorizing huge numbers of little tricks, expect them to be gone in a year. What really gets you into trouble is partial memory, which has to be perfect if you rely on memorization. Better to understand the fundamentals, following the pattern of classical teaching, and burn those core fundamentals into your long term memory. For example, rather than memorizing all the trig substitutions, learn Euler's formula and derive the one you need with a few pencil strokes. Little tricks make you faster and might help with the time pressure of an exam, but fundamentals will carry you much farther over the long term.
If you're going to use math for several years, the best strategy to remember it all is to teach it and keep resources you can consult at a glance to jog your memory. It will force you to consolidate your knowledge. All of the quick tricks are useful to compile into sheets to review for posterity while ALSO memorizing the fundamentals in case you are caught unaware and need to prove results from scratch. Using both is the key for efficiency. If you're using math in academic settings as either a student or instructor, you need to have the material at your fingertips and not rederive a myriad of formulas all of the time when you need them on the spot as everything is timed.
None of these is just memorization. They are each provable but then the point of memorizing derivative formulas is so that you don't have to write the proof everytime you compute the derivative. For the first one if y = sqrt{x} then y^2 = x. Then dy^2/dx = dx/dx => 2y·dy/dx = 1. Therefore, dy/dx = 1/(2y) => d/dx [sqrt{x}] = 1/(2·sqrt{x}). The second formula can be proved by applying the quotient rule to 1/f(x). Finally, any of these can be proved using logarithmic differentiation.
It seems like it would use more mental effort, but a few dozen derivatives come up again and again, so if you memorize them, you can quickly finish solving problems, even mentally, without having to rederive specific instances of a derivative after you are no longer being tested on the basic derivative rules. It's also helpful when you are running low on time for multiple choice questions where you don't need to show work.
Our teacher was nice, she told us the first two and I discovered the 3rd myself. I am so pleased to see the thing just pop in my mind in a TH-cam Video.
@@threem1085 I'm not but many people keep saying I'm good. hey, try searching PATRICK JMT on youtube! he generally sums up my 2 hr class in just 20 mins or less. he is the reason why I survived all my calculus when I'm in engineering. Good Luck!
@@threem1085 and btw you need to practice solving a lot of problems. watching and studying vids won't help you but putting it into practice won't betray ur hardwork. you reminded me of myself before xD like I'm really doing well on HS but in college I feel dumb and stupid xD
@@lazypawtato8701 I am a senior in hs struggling so I actually am stupid 😭. I just have two other college classes I'm taking and the work load is just too much. I need make time where I can practice calc other than the packets we get outside of school but man, I'm struggling hard
it helps everyone out. except for indians!. this is too advanced for them... i heard that pakistan has to supply tutors to india to help them learn calculus.
Zangetsu Means except Indians??? We don't need this tricks becz what we thought by our teachers/sir is more understandable. And yes y Pakistan needs to give us knowledge becz my sir is neither from Pak and nor from any foreigner countries it is true that exploring knowledge don't has discrimination between anything of course 😑 you are also thought by some or other person.
@@liamwelsh5565 We do way more in the way of trig derivatives in our calc classes. The few log ones we often see are in the form Ln(u) where u is some function. Similarly for exponentials: we see e^u ALL THE TIME but other bases like 2, 3, etc not nearly as much.
The last one is called logarithmic differentiation. It is a known technique and is taught in Calculus I. Also, those are not tricks, they're the actual methods.
Actually the last trick was pretty surprising. I`ve thought of using logarithmic differentiation for variables with exponents when it comes to fractions, and apparently it does work. Thanks!
i know that there are a bunch of comments saying that they're disappointed by these tricks, but i found this video extremely helpful. Thank you so much
The last trick cannot be used in all similar cases since you cannot apply logarithms for all real values. In the example you gave the function f(x)=y is defined in (3, +infty) and y is positive so you can apply logarithms in both sides.
Well, I'm not from India, but I agree with what they're saying... this video is pretty much useless and those are NOT "SECRET" TRICKS none teaches at school... probably, they didn't teach you at your school, but they're very well known elsewhere (Europe, India, Russia, etc.)...this video is just clickbait...
L J some 10 years olds from any country can be taught advanced maths stuff like differentiations, matrix, etc. It depends on their faculty for learning, and also their studying habits. I have taught my studying techniques to the weakest students who find themselves jumping to the top in class. I strongly encourage self-teaching in kids and adults. Weakest students lack self-reliance, as they make the mistake of waiting to be told what to study and what not to study, their BIG mistake. Relying on teachers should be 10% and self-teaching 90%. All child prodigies do that.
Great tricks. I think that most students who spend enough time doing homework and doing practice problems stumble upon these tricks on their own. For the students struggling with derivatives this could definitely help them get a light bulb moment and hopefully help them spend less time struggling with some of these concepts.
In French high schools the first two “tricks” are actually proven in class with the definition of the derivative and students are told to memorise them, and in opposition they are asked not to use what you call the “old ways” because the power rule is not proven for non integers at 11th grade. What could be called the reciprocal rule is also taught: (1/u)’=-u’/(u^2) as it is handy for the proof of the quotient rule.
If you haven't learned the full way to do something, don't 'memorize' stuff! Do it the 'old' way, understand what's happening, then when you do it enough, you won't need to learn trick to do it. And to people saying they learned this, sounds like you didn't learn derivatives, you just learned the 'tricks'.
Correct me if I’m wrong but the power rule is still a trick right??? The ‘old’ way that lets you know what’s happening would be the whole lim h->0 f(x) = f(x+h) - f(x) /h
These are not tricks. This is how you do it when you teach these concepts and you may remember them as formulas if you want. Calling them as trick is not ethical, I guess.
The two first "tricks" are literally how the derivative of a sq root and of the inverse are defined in my high school text book, and for the record I'm *not* Indian. According to my teacher (and I agree), the actual trick is to convert to rational exponent in order to avoid learning more expressions by heart, with the subsequent risk of having a mistake. The third one is , because that expression is quite convenient for the application of the log derivative method. I mean, in real exercises, the polynomial is not factorized s the time you save by logging you waste it finding the roots (if they're rational/it's a 2nd degree polynomial). A real trick would be you can use log derivatives to derivate things like e^(2x^2+3x+1) or 2^x (again, you avoid learning the formula by heart). I saw you also explain the inverse function theorem in another video. I think that actually is a handy trick, along with log derivation.
You are absolutely correct and I won't argue. I simply present these methods since some students prefer them (i.e. more memorization) and some don't. Thank you very much for commenting and all of the feedback. Have an awesome day!
Calculus destroyed me in college. I went all the way through college pre calculus with As, and then got to calculus, the whole Cal I course was solving these long chain derivatives, and I had never seen nor was I able to understand what I was doing or where it was going. My educational system kind of failed me in preparation for this undertaking. SMM…
dude you literally just used the actual method and then you ask us memorise it but anyways i like your positive attitude towards criticism be happy always
As someone who has taught Calculus for 20 years, I would never teach the first two "tricks". I believe that the less that a person needs to "memorize", the better. On the other hand, if a student came to me and said, "Hey I found this neat trick!". I would say great. As far as the last one, I DO teach my students to use logarithmic differentiation for problems like that.
You have to admit the last one was pretty cool. And I don’t get why you need to drag on a guy for taking the time to put up a video that can help a zillion people (like me.)
Thanks for this informative video. You have gotten yourself a new subscriber. Although there are many people calling this a fundamental topic, its not like everyone has this access to this kind of topics everyday. With that, I thank you for your efforts in this video. :) have a nice day
Thanks man I have to learn derivatives (also limits and integrals) in 3 days all by myself without any background at all so this helps a lot for someone who had NO idea of those tricks and NO teacher to teach me at all. Damn it. My diagnostic's tomorrow btw ugh
1:00 So far your tricks to doing derivatives is to just memorize all of them. Good start so far. The problem with the square root, of course, is that it doesnt help with cube roots, etc.
1st trick: you could have used the inverse function formula 2nd trick: (1/f(x))'=-f'(x)/(f(x))² You can derive this using a square with area 1 and sides f(x) and 1/f(x)
BriTheMathGuy I just love your patience! Although, the tricks were something I figured out myself (and I think everyone should), thanks for making the video. Tip: To make this work better, you could write down the problem and give the viewers some time to figure out the shortcut themselves (this stimulates the mind to think out of the box) and then tell the answers. This way, the viewers might even come out with a newer, better method. After all, mental stimulation is a preliminary requirement for intellectual development. *Hoping to get more exciting stuff from you in future :)*
This tricks are really awesome!, Thank you very much! You're a genius! :D For me, that I haven't started University, this tricks will help me a lot. Thanks!
Well the first two was just the rules in words 😅. But the now famous last trick is one I use quite instinctively these days. But your video suddenly reminded me of where I first learnt it. And judging by the way you phrased your words, I'd wager so did you. It was Feynman's Lectures or his Tips on Physics.
@@BriTheMathGuy I honestly thought the video was great, but others (who haven't looked into derivatives or integrals) are here to learn the root of the laws of integrals/derivatives. It's not your fault, I just think they mislead themselves. Great vid, bro!
I suppose that would be true, I hadn't thought that much about it. In practice this method is just used for finding the derivative rather than evaluating it, so you don't necessary have to worry about the domain.(and you get the same answer as doing it the long way) Maybe there's something I'm not thinking of...an excellent observation!
Still useful until 2022,yes the teacher usually will teach the traditional way for solving maths and instead teaching faster way.I am the ones who solve maths at slow pace and I usually got confused when comes to complicated types of questions for maths.Thank you for your useful video.❤️❤️❤️👍👍👍
Thanks for that last one, it actually helped me understand the use of ln in derivatives, and is a great shortcut. The others I figured out just by doing a lot of derivatives and trying to do them in generic fashions.
My issue with this is that you have to have an understanding of how things work. As an advanced Math student I use shortcuts sometimes, but the basic understanding is there first. If
Chloe Sinéad he expected some secret tricks which will be very useful but got such easy stuff and then he commented ,you can replace that person to me also cos that's what u feel .but these maybe useful for so many people and this guy might help them a lot so he was better from his side it was just us who misunderstood the title
Okay hello this is not where it should be going... Everybody chill.. You come to TH-cam, you watch stuff appreciate someone and you go... that is what it is for.. What you don’t do is fight with other people over a silly thing...and those are the people you don’t even know... So calm down. Everybody has opinions I understand...but keep it to your god damn self.. IF YOU HAVE THE GUTS POST IT ON YOUR CHANNEL!
These are not taught when you learn differentiation because they are expected knowledge of algebraic manipulation. For instance, I'm quite sure that a student that is differentiating the natural log of some fraction will have in fact already been taught about log rules.
And memorisation is useless if you do not understand why you are doing what you are doing. For example, I long ago forgot the quotient rule as it is simpler to just apply the chain rule or to re-express the function and apply the product rule (which is really an application of the chain rule). But if you do not understand why that is so then to just be told to do it makes no sense, and you will hit a brick wall in your learning sooner or later.
I won't disagree with you. I only want students to know these if they haven't been able to come across them on their own or otherwise. Thanks for taking the time to comment. Have a great day!
It is better to just be practised at it, and then chain rule becomes second nature and you don’t need to think about it. And quotient rule questions like that can just be done as inspection, and if I didn’t get working marks I would just write down the answer.
I mean no offence at all, nice work! However most of us have figured this out already, it takes just a few weeks of practice to do most derivations in your mind itself.....looking forward to other videos. [edit] ok I'll admit your last method was good (the log one), I probably wouldn't have thought to approach the Problem that way!
I would say the first two ARE NOT memorizations at all. For example (√x)' , after you have done it a couple of times(say 10-50 times), you will eventually "skip" the power rule steps. This is not memorizing, this is like "muscle memory". As you practise enough, you will be able to immediately write down 1/(2√x), you don't even need to think and/or check as you are confident enough due to the practice. It is just like 1+1=2, you don't even need to count your fingers or use a calculator for this, would you consider this as memorizing what the result of 1+1 is? Definitely no, right? That's just because you have done this many many times, that you don't even have to think about it, as you are super sure the result is correct due to *experience* .
So you look smart of you say this is old for me and criticise the video ? I really liked them anyone who is learning would appreciate more,, the last one actually I kinda knew but Im so used to old ways I may try it I am waiting for something like face me hah.
These may be so called tricks for beginners but for senior graders these aren't tricks any more ...infact the actual methods to solve calculus.!!!...but however your work must be appreciated ...so Good and keep it up..👍👍👍👍👍👍👍
The first two don’t actually look any faster than just using the typical power rule. The third is pretty cool though, that one does save a lot of fiddliness.
This is actually just good for checking... exams in universities still requires you to write down the solutions or else you'll get accused of either cheating or you won't get the perfect grade for that single item. Well it depends to your prof I think.
I hope someone gets something out of this... these aren't really tricks though. The first one is just "memorize this one derivative", but doesn't help for other n-th roots. The second one I guess is helpful but it's just the "old" method but combining the steps. The last one is really just slower than writing the quotient as a product with negative power and using product rule, and on top of that, more calculus students struggle with properties of logs than derivatives of powers. Here's a super neat trick that learned for calculating derivatives, and it works every time. Just take whatever function you want to differentiate, say f(x), then write [f(x+h)-f(x)]/h, then all you have to do is take the limit as h goes to 0 and you get the derivative for free! And yes, I will have a wonderful day, thanks.
I've had a few cycles where I learned calculus,then forgot it, then learned it again, then forgot, etc. With time, the 'easy tricks' disappear, and the hardwired core of knowledge stays with you. So, if you spend your time memorizing huge numbers of little tricks, expect them to be gone in a year. What really gets you into trouble is partial memory, which has to be perfect if you rely on memorization. Better to understand the fundamentals, following the pattern of classical teaching, and burn those core fundamentals into your long term memory. For example, rather than memorizing all the trig substitutions, learn Euler's formula and derive the one you need with a few pencil strokes. Little tricks make you faster and might help with the time pressure of an exam, but fundamentals will carry you much farther over the long term.
This
wow
Little tricks help in the short term, especially when giving competitive exams.
If you're going to use math for several years, the best strategy to remember it all is to teach it and keep resources you can consult at a glance to jog your memory. It will force you to consolidate your knowledge. All of the quick tricks are useful to compile into sheets to review for posterity while ALSO memorizing the fundamentals in case you are caught unaware and need to prove results from scratch. Using both is the key for efficiency. If you're using math in academic settings as either a student or instructor, you need to have the material at your fingertips and not rederive a myriad of formulas all of the time when you need them on the spot as everything is timed.
The last one is neat. The rest is just memorization/mental math.
Thanks very much! Have a great day!
I like this guy
Correct
This is such a great channel to get stuck watching
None of these is just memorization. They are each provable but then the point of memorizing derivative formulas is so that you don't have to write the proof everytime you compute the derivative.
For the first one if y = sqrt{x} then y^2 = x. Then dy^2/dx = dx/dx => 2y·dy/dx = 1. Therefore, dy/dx = 1/(2y) => d/dx [sqrt{x}] = 1/(2·sqrt{x}).
The second formula can be proved by applying the quotient rule to 1/f(x).
Finally, any of these can be proved using logarithmic differentiation.
I couldn’t tell if you were being sarcastic in the first two lmao.
“Instead of memorizing one rule, just memorize hundreds of common derivatives. Teachers hate this trick!”
It seems like it would use more mental effort, but a few dozen derivatives come up again and again, so if you memorize them, you can quickly finish solving problems, even mentally, without having to rederive specific instances of a derivative after you are no longer being tested on the basic derivative rules. It's also helpful when you are running low on time for multiple choice questions where you don't need to show work.
Indians be like.... "This ain't a trick. This is the actual method"
lolz
Have an awesome day :)
That's true its our common method
well it is ,so
That Ain't Me
And Americans. We learned about this since when
That Ain't Me .. YEP... I felt the same...
Our teacher was nice, she told us the first two and I discovered the 3rd myself. I am so pleased to see the thing just pop in my mind in a TH-cam Video.
why did I only saw this when I'm already graduated in Engineering ugh
Better late than never I guess :)
When you went into engineering were you always a math wiz? Cuz I also want to major in engineering and calc is hard for me ;( I feel stupid as heck
@@threem1085 I'm not but many people keep saying I'm good. hey, try searching PATRICK JMT on youtube! he generally sums up my 2 hr class in just 20 mins or less. he is the reason why I survived all my calculus when I'm in engineering. Good Luck!
@@threem1085 and btw you need to practice solving a lot of problems. watching and studying vids won't help you but putting it into practice won't betray ur hardwork. you reminded me of myself before xD like I'm really doing well on HS but in college I feel dumb and stupid xD
@@lazypawtato8701 I am a senior in hs struggling so I actually am stupid 😭. I just have two other college classes I'm taking and the work load is just too much. I need make time where I can practice calc other than the packets we get outside of school but man, I'm struggling hard
DERIVATIVE TRICKS FULL COURSE!
th-cam.com/video/EdFMz4SKEWE/w-d-xo.html
it helps everyone out. except for indians!. this is too advanced for them...
i heard that pakistan has to supply tutors to india to help them learn calculus.
Can you do extrema tips and tricks? for local extremes, absolute minima/maxima, etc?
Good joke😀
Zangetsu nice joke 😂😂😂😂
Zangetsu Means except Indians??? We don't need this tricks becz what we thought by our teachers/sir is more understandable.
And yes y Pakistan needs to give us knowledge becz my sir is neither from Pak and nor from any foreigner countries it is true that exploring knowledge don't has discrimination between anything of course 😑 you are also thought by some or other person.
That last one w/ the logs was amazing! I never would've thought of doing that & I tutor calc 1 every week.
I'm very glad to help out a fellow tutor! Have a great day!
A calc 1tutor who doesn't know logarithmic differentiation?
@@liamwelsh5565 We do way more in the way of trig derivatives in our calc classes. The few log ones we often see are in the form Ln(u) where u is some function. Similarly for exponentials: we see e^u ALL THE TIME but other bases like 2, 3, etc not nearly as much.
The last one is most interestin.. I haven't learned that yet, but it sounds simple enough here.
Glad you think so! Have a great day.
I feel as if I had found a book of forbidden knowledge
Use it wisely :)
The last one is called logarithmic differentiation. It is a known technique and is taught in Calculus I. Also, those are not tricks, they're the actual methods.
I guess they did not learn properly.
Ok hold on 😂 I have taken the derivative of countless square roots and I’m dumbfounded at how I’ve never realized this pattern😂
Actually the last trick was pretty surprising. I`ve thought of using logarithmic differentiation for variables with exponents when it comes to fractions, and apparently it does work. Thanks!
You're very welcome!
Wow
The tricks you mentioned are normally taught here in Egypt , including the logarithmic one that everyone is impressed of!
shouldn't you consider [(x+1)^5/(x-3)^1/2]>0, in order for the log to exist?
I’m really proud that our teacher in Pre-Cal and basic calc,taught us these tricks thoo
Thats great to hear!
With all these hate comments bro I just want to let you know that you have helped me a lot. Andd I also shared this vid to my classmates! Kudos!
That's really great to hear! Thank you very much!
@@BriTheMathGuy great video for a beginner like me.
i know that there are a bunch of comments saying that they're disappointed by these tricks, but i found this video extremely helpful. Thank you so much
You're very welcome. Have a great day!
because you don't know math.
that may be true, but at least im appreciative of others helping me. Have a nice day and get a glass of milkshake to cool your bitterness xx
then the title should be . Basic logaritm/rad properties that anyone know .
sweetie, these aren't rad properties. nice try tho
The last trick cannot be used in all similar cases since you cannot apply logarithms for all real values. In the example you gave the function f(x)=y is defined in (3, +infty) and y is positive so you can apply logarithms in both sides.
Why are these comments full of Indian people bragging about how early they learned this? Don't they realize no one cares?
Thanks for the video
Like from an indian
Well, I'm not from India, but I agree with what they're saying... this video is pretty much useless and those are NOT "SECRET" TRICKS none teaches at school... probably, they didn't teach you at your school, but they're very well known elsewhere (Europe, India, Russia, etc.)...this video is just clickbait...
L J Yeah! Actually no one cares. But still why are you caring more to them .
An Indian 😎
it shows how ahead they are in maths
L J some 10 years olds from any country can be taught advanced maths stuff like differentiations, matrix, etc. It depends on their faculty for learning, and also their studying habits. I have taught my studying techniques to the weakest students who find themselves jumping to the top in class. I strongly encourage self-teaching in kids and adults. Weakest students lack self-reliance, as they make the mistake of waiting to be told what to study and what not to study, their BIG mistake. Relying on teachers should be 10% and self-teaching 90%. All child prodigies do that.
HAHAHA I like how the youtuber just replies "Have an awesome day!" to all the critics he receive. Have an awesome day my man :)
Thanks :) I hope you have a great day as well!
blue frog i was just about to comment exactly that
Lmao I was just about to comment that.... He real question is does he really want us to have an awesome day ?
I honestly do :)
That last one literally changed my life lol
Very cool to hear :) Have a great day.
Thats just logaritm properties ln(x/y) = ln x - ln y .This video is garbage
@@florin920 cmon bruh this guy is trying to help. Tbh people know what ln is, but dont knlw to apply it to derivatives
@@florin920 I know that you're expecting something magical(As was I) but you don't have to roast the guy lol
In India these are not tricks these are usual ways to differentiate such functions
Great tricks. I think that most students who spend enough time doing homework and doing practice problems stumble upon these tricks on their own. For the students struggling with derivatives this could definitely help them get a light bulb moment and hopefully help them spend less time struggling with some of these concepts.
Well put! Thanks for commenting!
Bro you should come to india then you will know how easy maths is
@@themaddyguy2838 Yeah, and that's why India is such a well developed country🤣
@@themaddyguy2838 hahahahahah same in pakistan bro
In French high schools the first two “tricks” are actually proven in class with the definition of the derivative and students are told to memorise them, and in opposition they are asked not to use what you call the “old ways” because the power rule is not proven for non integers at 11th grade.
What could be called the reciprocal rule is also taught: (1/u)’=-u’/(u^2) as it is handy for the proof of the quotient rule.
If you haven't learned the full way to do something, don't 'memorize' stuff! Do it the 'old' way, understand what's happening, then when you do it enough, you won't need to learn trick to do it.
And to people saying they learned this, sounds like you didn't learn derivatives, you just learned the 'tricks'.
Kshitij Shah That's so me
Kshitij Shah th-cam.com/video/GubJZ_cRPD8/w-d-xo.html
Or you can understand what's going on and still use the trick as short cut?
@@FelipeV3444 oh yea i dont wanna go sooo long now
Correct me if I’m wrong but the power rule is still a trick right??? The ‘old’ way that lets you know what’s happening would be the whole lim h->0 f(x) = f(x+h) - f(x) /h
Meanwhile JEE ASPIRANT where trick..
Oh this a regular work for us it's mind calculation for us
Any Indian here🧐
Lmao
Bro..got friends 😊
I am 🙋♀️😌
Cheers!
Yes
The last one is a really nice trick which makes it really easy to find the derivative of product and fractions.
Learned it in the hard way and forgot it within two weeks but will definitely remember these useful tricks! Thank you~
You're very welcome!
These are not tricks. This is how you do it when you teach these concepts and you may remember them as formulas if you want. Calling them as trick is not ethical, I guess.
The two first "tricks" are literally how the derivative of a sq root and of the inverse are defined in my high school text book, and for the record I'm *not* Indian. According to my teacher (and I agree), the actual trick is to convert to rational exponent in order to avoid learning more expressions by heart, with the subsequent risk of having a mistake.
The third one is , because that expression is quite convenient for the application of the log derivative method. I mean, in real exercises, the polynomial is not factorized s the time you save by logging you waste it finding the roots (if they're rational/it's a 2nd degree polynomial). A real trick would be you can use log derivatives to derivate things like e^(2x^2+3x+1) or 2^x (again, you avoid learning the formula by heart).
I saw you also explain the inverse function theorem in another video. I think that actually is a handy trick, along with log derivation.
You are absolutely correct and I won't argue. I simply present these methods since some students prefer them (i.e. more memorization) and some don't. Thank you very much for commenting and all of the feedback. Have an awesome day!
Calculus destroyed me in college. I went all the way through college pre calculus with As, and then got to calculus, the whole Cal I course was solving these long chain derivatives, and I had never seen nor was I able to understand what I was doing or where it was going. My educational system kind of failed me in preparation for this undertaking. SMM…
dude you literally just used the actual method and then you ask us memorise it
but anyways i like your positive attitude towards criticism
be happy always
Some teach these as methods, others don't. Thanks very much for your feedback and have a great day!
We can use the Ln technique only if y >0 .
As someone who has taught Calculus for 20 years, I would never teach the first two "tricks". I believe that the less that a person needs to "memorize", the better. On the other hand, if a student came to me and said, "Hey I found this neat trick!". I would say great. As far as the last one, I DO teach my students to use logarithmic differentiation for problems like that.
The first two made me feel it was a troll video but the last one was actually amazing
Glad you enjoyed that one! Have a great day!
So your trick is to memorize the derivative. How very clever. Why didn't I think of that.
Hey thank you very much for watching and giving feedback!
You have to admit the last one was pretty cool. And I don’t get why you need to drag on a guy for taking the time to put up a video that can help a zillion people (like me.)
Thank you so much❤️
Thanks for this informative video. You have gotten yourself a new subscriber. Although there are many people calling this a fundamental topic, its not like everyone has this access to this kind of topics everyday. With that, I thank you for your efforts in this video. :) have a nice day
Thank you very much! Have a great day!
for the first one would it be 1 over 2 times anything that is in the square root
First two are standard, the log one was fucking awesome.
Glad to hear it!
Just for the last one, I hope both sides of your pillow are always cold. Thank youuuuu
Thanks man I have to learn derivatives (also limits and integrals) in 3 days all by myself without any background at all so this helps a lot for someone who had NO idea of those tricks and NO teacher to teach me at all. Damn it. My diagnostic's tomorrow btw ugh
Glad I could help! Best of luck on your diagnostic!
Same, its shit.
1:00 So far your tricks to doing derivatives is to just memorize all of them. Good start so far. The problem with the square root, of course, is that it doesnt help with cube roots, etc.
Man! , you are influencing the life of thousands of students for this I am really thankful to you. ❤
1st trick: you could have used the inverse function formula
2nd trick:
(1/f(x))'=-f'(x)/(f(x))²
You can derive this using a square with area 1 and sides f(x) and 1/f(x)
Thanks for commenting!
Here in Asia, teacher told us this since grade 11.
I'm glad to hear it :)
Keep making iPhones buddy
Living In China
Same here in the US.
Lucas M Triggered American
aman kumar
How am I triggered? I just said that we do too.
I know that , Here in India .We have studied in 11th grade .
This is in our syllabus.
I'm very glad to hear that. Have a great day!
BriTheMathGuy thank you buddy for replying 😍
BriTheMathGuy I just love your patience!
Although, the tricks were something I figured out myself (and I think everyone should), thanks for making the video.
Tip: To make this work better, you could write down the problem and give the viewers some time to figure out the shortcut themselves (this stimulates the mind to think out of the box) and then tell the answers. This way, the viewers might even come out with a newer, better method.
After all, mental stimulation is a preliminary requirement for intellectual development.
*Hoping to get more exciting stuff from you in future :)*
Thanks very much for all of that! I'll see if I can implement some of your ideas in the future. Have a fantastic day!
Thanks again
Love from India
TH-cam is getting so comfortable with double unskippable ads
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Good keep it up bro......
It helped me a lot😘😘😘
Glad to hear it! Have a great day!
Ignore all the haters man. You changed my life with these tricks!
Wow I'm glad to hear it! Have a great day!
This tricks are really awesome!, Thank you very much! You're a genius! :D For me, that I haven't started University, this tricks will help me a lot. Thanks!
I'm really glad these helped you out! Have a great day and best of luck!
the last one blew my mind - that's a trick and a half right there!
Math life. I'll start here 📍
Great to hear. Have a nice day!
I'm studying for my Calculus test, it's my first year at college. Thanks Brian, u r helping a brazilian subscriber
Glad to hear it. Best of luck with your classes!
You got my subscription. Thanks for the content
Thanks very much! Have a great day.
Well the first two was just the rules in words 😅. But the now famous last trick is one I use quite instinctively these days. But your video suddenly reminded me of where I first learnt it. And judging by the way you phrased your words, I'd wager so did you. It was Feynman's Lectures or his Tips on Physics.
This is the worst math video ever. The brand new trick that teachers never teach you is... wait for it... Memorize the answer!
This is honestly some of the best feedback I have gotten. Thank you very much and have a fantastic day!
@@BriTheMathGuy best feedback?
@@Samurai-ub6ew Feedback is essential in improving a channel. This is good feedback, so Bri will know how to supply people's needs more adequately.
@@BriTheMathGuy I honestly thought the video was great, but others (who haven't looked into derivatives or integrals) are here to learn the root of the laws of integrals/derivatives. It's not your fault, I just think they mislead themselves. Great vid, bro!
Amadis001 impossible
At 6:15 did you multiply the 5 by the numerator (1) and the -1/2 by the numerator also 1 ?
Yes, Exactly. :)
This is taught in India by second standard XD
😂😂
Cool Baljeet
when exactly would you use the last trick on questions?
Last is awesomee
Helped in my entrance exam...
Glad to help :)
just fkn logarith properties . Do you even math?
As for the last method, that's assuming the argument is *always positive* (which is the domain of ln)
I suppose that would be true, I hadn't thought that much about it. In practice this method is just used for finding the derivative rather than evaluating it, so you don't necessary have to worry about the domain.(and you get the same answer as doing it the long way) Maybe there's something I'm not thinking of...an excellent observation!
you just earned an avid fan! love you, boss!
Thanks very much!! Hope you're having a nice day.
Still useful until 2022,yes the teacher usually will teach the traditional way for solving maths and instead teaching faster way.I am the ones who solve maths at slow pace and I usually got confused when comes to complicated types of questions for maths.Thank you for your useful video.❤️❤️❤️👍👍👍
Thanks for that last one, it actually helped me understand the use of ln in derivatives, and is a great shortcut. The others I figured out just by doing a lot of derivatives and trying to do them in generic fashions.
You're very welcome. Have a great day!
My issue with this is that you have to have an understanding of how things work. As an advanced Math student I use shortcuts sometimes, but the basic understanding is there first. If
Basic understanding is very important. Thanks for watching and have a great day!
All those so called tricks are in academics in India... might not be taught in ur country lol
Have a great day!
Then why are you here if this one was taught in your country?
Chloe Sinéad he expected some secret tricks which will be very useful but got such easy stuff and then he commented ,you can replace that person to me also cos that's what u feel .but these maybe useful for so many people and this guy might help them a lot so he was better from his side it was just us who misunderstood the title
Geeky Gamer
They are taught here in the US.
Okay hello this is not where it should be going... Everybody chill.. You come to TH-cam, you watch stuff appreciate someone and you go... that is what it is for.. What you don’t do is fight with other people over a silly thing...and those are the people you don’t even know... So calm down. Everybody has opinions I understand...but keep it to your god damn self.. IF YOU HAVE THE GUTS POST IT ON YOUR CHANNEL!
These are not taught when you learn differentiation because they are expected knowledge of algebraic manipulation. For instance, I'm quite sure that a student that is differentiating the natural log of some fraction will have in fact already been taught about log rules.
And memorisation is useless if you do not understand why you are doing what you are doing. For example, I long ago forgot the quotient rule as it is simpler to just apply the chain rule or to re-express the function and apply the product rule (which is really an application of the chain rule). But if you do not understand why that is so then to just be told to do it makes no sense, and you will hit a brick wall in your learning sooner or later.
I won't disagree with you. I only want students to know these if they haven't been able to come across them on their own or otherwise. Thanks for taking the time to comment. Have a great day!
really great video! thanks
Thank you! Have a great day!
Thanks man this was very helpful. Don't mind all the ignorant people saying they already know this when you clearly put "probably" in the title.
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Hey I am from pakistan 🙋 and I already know this tricks. Well thanks for revision :).
You’re very welcome. Have a great day!
Thank you, the logarithmic differentiation trick was helpful!
I like the last trick :)
Me too!
Just fkn basic logartihm properties. Nooting special.
It is better to just be practised at it, and then chain rule becomes second nature and you don’t need to think about it. And quotient rule questions like that can just be done as inspection, and if I didn’t get working marks I would just write down the answer.
I mean no offence at all, nice work! However most of us have figured this out already, it takes just a few weeks of practice to do most derivations in your mind itself.....looking forward to other videos.
[edit] ok I'll admit your last method was good (the log one), I probably wouldn't have thought to approach the Problem that way!
Thanks very much! I appreciate the feedback, have a wonderful day!
You should also add that derivative of anything with c is negative.
Thanks for watching. Have a great day!
this is common for a student who learn the deribative properly , these are mostly common but good try👍👍👍😊😊😊👌👌👌
Thank you for the comment :)
Abhijit its derivative and not deribative. Khub bhalo!
How common can it be for you? You cant even spell "derivative" .properly....
Joe Davis lmao he didn't spell it..he typed it wrong..maybe a autocorrect error..funny how u ranted about that
We have a particular exercise of that last problem called logarithmic differentiation
Thank you for this video. It helps me a lot🙏
You’re very welcome. Have a great day!
The last one was just Awesome... You deserve subscribes
Thanks a ton!
WTH.....These are tricks?
That's how I was taught.
I would say the first two ARE NOT memorizations at all.
For example (√x)' , after you have done it a couple of times(say 10-50 times), you will eventually "skip" the power rule steps.
This is not memorizing, this is like "muscle memory". As you practise enough, you will be able to immediately write down 1/(2√x), you don't even need to think and/or check as you are confident enough due to the practice.
It is just like 1+1=2, you don't even need to count your fingers or use a calculator for this, would you consider this as memorizing what the result of 1+1 is? Definitely no, right?
That's just because you have done this many many times, that you don't even have to think about it, as you are super sure the result is correct due to *experience* .
Thank u but I know this tricks(that teachers don't tell u) u think
So you look smart of you say this is old for me and criticise the video ? I really liked them anyone who is learning would appreciate more,, the last one actually I kinda knew but Im so used to old ways I may try it I am waiting for something like face me hah.
Lmao these aren't tricks, we memorized these the first time we took derivatives 😂
Thanks for your comment!
This kid is ENLIGHTENED
Thank you for you’re support!
Hello. U ought to give us videos on shortcut tricks on integration.
I think that's a great idea!
These may be so called tricks for beginners but for senior graders these aren't tricks any more ...infact the actual methods to solve calculus.!!!...but however your work must be appreciated ...so Good and keep it up..👍👍👍👍👍👍👍
is it helpful for nda///////////????????/
Have a great day :)
Yes it would be
No! Ways!
if this helps you for nda!🙁bud you need to study hard
The first two don’t actually look any faster than just using the typical power rule. The third is pretty cool though, that one does save a lot of fiddliness.
WTF, this is how i always did it... Total clickbait wasted my time :(
Learner's Point I’m really glad you know these already, not everyone does. Have a wonderful day.
This is actually just good for checking... exams in universities still requires you to write down the solutions or else you'll get accused of either cheating or you won't get the perfect grade for that single item. Well it depends to your prof I think.
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These are not tricks. Wasted my time.
Ishtiaq Hussain Naqi for other ones, yes it is.
the last one just blew my mind
Wanna take a derivative quickly? Memorise it! Fantastic trick..
Hey thanks for commenting and the feedback.
I hope someone gets something out of this... these aren't really tricks though. The first one is just "memorize this one derivative", but doesn't help for other n-th roots. The second one I guess is helpful but it's just the "old" method but combining the steps. The last one is really just slower than writing the quotient as a product with negative power and using product rule, and on top of that, more calculus students struggle with properties of logs than derivatives of powers.
Here's a super neat trick that learned for calculating derivatives, and it works every time. Just take whatever function you want to differentiate, say f(x), then write [f(x+h)-f(x)]/h, then all you have to do is take the limit as h goes to 0 and you get the derivative for free!
And yes, I will have a wonderful day, thanks.
Alex Jones amazing trick!