Higher Order Derivatives

[@TheOrganicChemistryTutor]

Derivatives - Free Formula Sheet: bit.ly/4dThzf1 Final Exams and Video Playlists: www.video-tutor.net/ Calculus 1 Final Exam Review: kzbin.info/www/bejne/jZ6lq6B-p9pqbtk Next Video: kzbin.info/www/bejne/aZ24gKegoNaZh9E

[@ivyvillamor8340]

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[@kentenfaust3042]

I’ve started using his videos since senior year of high school.

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I love you 😍

[@paulwilliams90]

junior in high school im screwed.

[@aarhonestcorner]

@@paulwilliams90senior in high school. Were you here for a test like I am right now?

[@ebukaeluzaiuduma3390]

Great teachers are not only high degree holders, they anyone who can simplify the most complex stuffs using unambiguous words to a dummy. Well done sir.

[@kasandrahope437]

you've taught me more than tutors or professors have

[@yameteyamite5696]

The people who dislikes his videos were probably the university professor 's who didn't like teaching student the easy way.

[@lourencediso1833]

EURT

[@maskedintrovert7853]

What's the use of masters or doctorates if you can't clearly instruct students

[@sudo2570]

Our professor actually sends us this so we can further unserstand the topic

[@lazlo686]

I actually dislike this dude’s videos cuz of his voice and the fact that he doesn’t go over complicated problems. Like most of these are easy in this video.

[@adamwightman5487]

@@lazlo686 well it says in the description that it is only a basic introduction. He has full length videos if you pay and want to see more.

[@ncthusiast2817]

me: *clicked this video* advertisement: "sTill sEarching oN youTube fOr mAth helP? aRe thOse videos frOm 2016 rEally helpinG?" me: 😐😐😐

[@zaro12345678910]

apperantly they do thou HAHAHAHAHAHA

[@kylefrank638]

I know, every Calc channel I watch, they have these ads with people saying "YO, WANNA PAY FOR HELP INSTEAD OF WATCHING THIS FREE, COMPREHENSIBLE VIDEO??"

[@ncthusiast2817]

@@zaro12345678910 yeah true actually i understand the lectures here in yt more than my teacher's discussion lol

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[@unzippedstraw8885]

This man literally knows everything

[@yrok244]

I'm a Sophomore in high school attempting my precalculus final, this saved my life!

[@Krrish_1792]

So sir u explained it very Simply so I will say that u are simply the best teacher I have ever seen explain complex topics so easily ❤❤❤

[@charleshudson5330]

In Kinematics, the Third, Fourth, Fifth and Sixth derivatives have names. They are (seriously): Jerk, Jounce (also called Snap), Crackle and Pop. They are used by mechanical engineers in the design of cam shafts, railroad track curves, pistons, etc. Acceleration is never really instantaneous. Jerk is the time rate of change of acceleration, that is, the small change in inertia when a constant force is initially applied. Jerk is the time rate of change of Jounce. When you are riding in a car under 'constant' acceleration but over a rough surface, the acceleration is not really constant, but rapidly changing, producing Jerk. To get the smoothest ride on a roller coaster, or on a railroad curve, an engineer considers the Jerk and the Jounce. (Or Snap.) As for Crackle and Pop, they are less used, (if at all), but expressions of the reality that much of applied physics is idealized mechanics. I'm answering my own question, posed below:

[@Quintessential.96]

There is a saying when you have a knowledge and you dont share it with people...the knowledge you have will eventually go down but when you continue to share your knowledge with others definitely it will keep on rising. Thanks alot

[@sung5087]

best teacher in my life

[@kulaypulaa7864]

This channel has been single handedly saving my ass from failing math and science subjects since junior high until now at college

[@ryanm6004]

Man you’ve saved me so many times now. I still wanna go back in time and tell Isaac Newton to put it back though.

[@georgesadler7830]

MR. Organic Chemistry Tutor, Thank you for an outstanding video/lecture on Higher Order Derivatives in Calculus.

[@MewTCG1]

This man just sees numbers as a whole language wheres he fluent in every single form.

[@extremebass9195]

I learnt full derivatives from your videos thanks a lot sir

[@josephjatto6759]

Thanks and God bless you endlessly sir!

[@FaiGal]

the only thing I don't understand is how I learn so much better from these tutorials than I do from the class I enrolled for

[@rhisykangale3367]

You deserve a noble peace prize for your deeds💯

[@astron099]

I'll be having a long quiz on derivatives in the next 6 hours and this really helped

[@pranithbhandary973]

i think this is great....the organic chemistry tutor teaching calculus

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I saw most of lecture video mainly physics and maths,I proud you what a presentation and presenter real amazing ❤❤❤

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Man, u’re helping so much… u doing great, appreciation and congrats…✊🏾

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now i will declare that calculus is fcking easyyyyy, depende talaga sa teacher

[@eapgtr]

bro really helped me alot for quizez tomorrow

[@lourencediso1833]

Sheesh your a legend bro thanks for teaching us GR 10

[@zora9135]

Salamat po sa inyong turo. At Shout out po sa mga kaklase kong pupunta sa video na to. -nite

[@arshbuilds]

i just missed first 9 days of school and this is really helping me thanks bro very cool

[@lemonymelony6883]

this man is basically my lifesaver... thank you so much!

[@alvinnaag6503]

I got a single formula for getting the higher order derivative during my college days. It can solve the 50th or 100th derivative at once.

[@rayanshaikh7271]

What is it?

[@BocchiRock420]

Thank you for the vids bro I'm definitely gonna cook this applied calculus long exam

[@adeolajoy4539]

You've taught more than my tutor

[@sm71485]

This guy has saved thousands of degrees

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you're the best in the world brohh🥳

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you're a simplifying machine! god bless your soul

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Happy Teacher's Day, Sir🥳❤️

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he's literally an angel, tysm OCT!!

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I honestly dont know why i pay for uni

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[@tumisangncube2862]

you are simply the best

[@ujuuju4311]

in 5:00 the answer should be 2cosx+4xsinx-x^2cosx right? those two -2xsinx will add up to +4xsinx correct me if im wrong

[@taobao736]

ure not right ..tho I'm late -2-2=-4

[@Holly26]

when you multiply -2 by -2 then you get +4 but when you add -2 and -2 you get -4 so The Organic Chemistry Tutor is correct

[@vitaminprotein7119]

TWICE add -2 = -4 TWICE multiply -2 =+4

[@babyshark8958]

4 years later ur still wrong

[@ujuuju4311]

@@babyshark8958 don't worry I figured it out long time ago 😂

[@charleshudson5330]

How about an explanation of the meaning of higher order derivatives. What they signify in a real problem. How they might be of practical use. For instance, in mechanics, the first derivative of distance is velocity. The second derivative of distance - or, that is, the first derivative of velocity - is acceleration. What next? Think about it.

[@UnknownGamer-pq6qb]

Yes exactly

[@frostbitepokin9520]

Who gives a shit

[@zaro12345678910]

@@frostbitepokin9520 us... students...

[@fheightnight7092]

you're better than my paid teachers lol

[@justshan2413]

Thank you so much, the video was helpful

[@FaithMkandawire-zv3wc]

Thanks a lot you are really helping me

[@metawhirl4609]

I searched for partial higher order derivatives but this is I have found only lol.

[@adeolajoy4539]

Thanks so much God bless you sir

[@SN0WLF]

4:10 the derivative of first part wouldn't it be 2 rather than 2x

[@ChristoffeBernardoSuizo]

Can i ask a question, the example number 3 in getting the 3rd derivative of f(x) in the 3rd dx why did u rationalize it and didn’t rationalize the 2nd dx f(x)? It can be simplified also as 1/2•square root of x

[@MeshackAdul-ey2pj]

Would you do one for michaelis menten equation

[@lamasaleh5111]

What if we wanted to find derivative fiftieth for example? Are there any rules for this?

[@justabunga1]

There is some functions if you want to take many derivatives if you can. A good example would be y=2^x. The nth derivative of that function is y^(n)=2^x(ln(2))^n. The 50th derivative is y^(50)=2^x(ln(2))^50

[@parultidkae4924]

@@justabunga1 thanks

[@BenShMotoJIE]

Nice video again 👍 keep it up

[@Winterbass_12]

I have a question.. What will be the third derivative if the second derivative is a single number? Cuz in the second derivative i got +10, what will be the third one now??

[@kunalkhare1706]

0 because 10 is constant

[@lessthanpinochet]

The derivative of a constant(single number) is always zero.

[@babyshark8958]

yeah i agree @@kunalkhare1706

[@babyshark8958]

yeah i agree @@lessthanpinochet

[@cubby091398]

What math is associated with higher order derivatives? Is it Calculus or Differential Equations.

[@paulinetaylor2810]

so in other words higher order derivatives, scond, third and fourth derivatives are like composite functions you are saying?

[@tamago1704]

it means its more difficult X'(

[@lambsauces]

is it allowed to have a final answer in a certain derivative in which negative exponent is implied?

[@igit7745]

I suggest you put it to fraction form.

[@babyshark8958]

yeah i agree @@igit7745

[@aira4380]

Why can't I find any example of what my teacher's giving to us...

[@Kekkndslgnlwnh]

same!!! annoying when the teachers only show easy ass examples and explain easy ones but then give super hard versions on the test or homework without explaining or teaching how

[@ha-il9bd]

@@Kekkndslgnlwnh exactly what my teacher does.

[@kylefrank638]

I have one with three components being multiplied, not just two, wherein the Product Rule is easily applied..

[@ashoktomar5958]

I can be your teacher 😁👙

[@vitaminprotein7119]

Dislikers must be our school/ college teachers

[@babyshark8958]

ikr

[@afaqnaveed2602]

what if we were told to find 56 derivative of function?

[@Killuasama07]

There will always be a pattern. Usually the questions with the 56th derivative include sin or cos but if it were x^42, then we would know that the derivative would result in 0 because every time we took a derivative, the exponent got subtracted by 1

[@abdallahsidhoum4931]

use Leibniz nth derivative formula, d^n(f*g)/dx=sum of (n k)*f^(n-k) *g^k from k to n

[@vitaminprotein7119]

Do they ask like this too??

[@erlajade7696]

thank you so much. this means a lot to me

[@ebrahimalbahdahi]

You are the best man

[@JhonzhenQuiñanola]

At 5:00 isn't the answer should be 2cosx -4xsinx +x²cosx

[@rvencloud6203]

Actually negative was distributed so it became negative

[@Animx185]

1:25 can i do 60x³+ 12x 60(3x²)+ 12(1) then 180x² + 12 180( 2x) + 12(0) 360x 360(1) 360 360(0) = 0 😂😂 i try to do more if i am wrong you can right me

[@manyalkutinkoak929]

best teacher

[@jhunjusay888]

Our prof is freaking crazy asking for 222nd derivative of sin5x

[@babyshark8958]

is there a formula to find the higher derivatives?

[@fantasticsite408]

It helped alot❤

[@hanzjoshuadelatorre7256]

What would be the derivative of (ln) or (e)?

[@parultidkae4924]

there's no such thing as derviative of (ln) or (x) u prolly asked the wrong question or u're prolly confused

[@JKMath]

The derivative of the natural log of x, or ln(x), would be 1/x. And the derivative of e^x is just the same thing, e^x. Those are some rules you learn later on in calculus. If you were asking about the number e and not the function e^x, then the derivative is just 0 since the number e is a constant and the derivative of any constant is just 0. Hope that helps!

[@stan.newjeans]

Im so confused about how to determine which rule should be used. Like product rule, quotient rule etc. Will someone tell me.

[@noobkiller463]

Product rule for f(x) * g(x), quotient for f(x)/g(x)

[@aam7486]

you use product rule when the question is in the form of brackets, ex: (a+b)(c+d) while for quotient you use it when there's a fraction

[@tangtang8486]

Sometimes I just wing it and I end up stressing so much during tests so I write my name on the paper and hand it in without any answers filled (meanwhile its 5 minutes into the exam) every other student in my class stops and stares at me, while my teacher stops me and whispers "You didn't write anything on your exam...". So I tell him "Yeah, I don't know anything...". Even though he insists I try the problems for part marks, I tell him it would only make my situation worse. My life has become a huge fucking mess, I'm 28 and still in night school. My friends stopped talking to me, and every family member won't lend me any money over how much of a disgrace I am. If you're looking for a job in Vermont, I work at a KFC off the highway. Names Andy, please don't be like me.

[@jodi-.-]

Tang Tang are you okay? I see you’re going through very tough times but now isn’t the time to give up!! Show the people who left you that you can make IT! At least you’re in school trying... that shows you made the first step to improving your life.

[@lewise.4367]

@@tangtang8486 Hey dude, some part of your story really hit home. I'm dumb as hell and even passed a blank paper too. I'm younger than you tho, but nevertheless, you're still young too! This is a low point in your life right now, but I know you have it in you to push further and get back on your feet! I'm rooting for you dude, your life's not over yet. You can do this : )

[@Emgaeeeee]

still cant believe this our topic in 10th grade lmao

[@nihatdonmezov8354]

Thank u so much!!!

[@sahilsolanki5437]

Thanks for helping me.🙂🙂

[@lyricomanoban8851]

hello guys, can someone explain to me why we need to multiply (-1) to ycos(xy) / 1-xcos (xy) on both numerator and denominator ? i hope someone help me with this one. 😅

[@babyshark8958]

do you still need help 3 years later?

[@nicaangelacalma7114]

thank u!! ❤️

[@Informative229]

Best expression

[@Songvibez10146]

I dont konw english but I can understand what you say you save me

[@Apuotmachar]

Thanks 😊

[@1estel1ch.42]

man these are starting to get a LOT more tedious

[@1nfuzion]

Why can't we use the quotient rule for the last problem at 9:10

[@jacobmelendrez7174]

No x in the numerator

[@braedenbertz1063]

Vauron I would like to point out that you CAN use the quotient rule to solve 5/(x^2). The quotient rule is: (LH’-HL’)/(L^2). I like to write my terms down so I will do that here: H = 5; H’ = d/dx 5 = 0; L = x^2; L’= d/dx x^2 = 2x. Now we substitute those values in to get: [(x^2 * 0) - (5 * 2x)] / (x^2)^2. Simplify: -10x/(x*x*x*x). We have an x on top and bottom so they are equal to one and cancel. We are then left with -10/x^3. The quotient rule is just a different way of writing the product rule and vice versa. Afaik, any equation that can be differentiated with the product rule can be differentiated with the quotient rule. Hope this helps! (Any questions or misplaced steps please tell me so I can help future people if they also have the same question)

[@kelly1572]

You can use quotient rule but it's going to be a longer method

[@shaneconwell253]

@@braedenbertz1063so the answer is wrong? his answer on the vid was 5x^-2. I also used the quotient rule and my answer is -10/x^3 .

[@raulcondez397]

@@shaneconwell253 when he manipulate the expression is it already the second derivative?! 9;10 - 9;25

[@i_am_dumb1070]

People here writing on professor and university i am studying in class11 cmon guys...hod is easy i just came here for some brush up.

[@zackviccaji6342]

You r the best!

[@NicKenMic]

I LOVE YOUUUUUUUUUU

[@artemkrazhan6778]

awesome video

[@smohammed5596]

You are great i thank u alot

[@mydepression5666]

Lesssgoooo miss anj

[@inst2nt]

6:16 my brain suddenly just stops working at this part, im confused now

[@sackeyirene8796]

Thank you

[@melaniesolis2324]

THANK UOU SOOO MUCH

[@EcilPeralta-ys1lv]

thanks

[@realABN]

Yarb ayyb A in my Mathematics for business course

[@saifurrahman6972]

thank you again ;--;

[@thatomofolo452]

Cool 😎

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thankyouuu

[@astro_nic]

nice

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Se helpful

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[@newton6031]

Poorly presented