Finding the Derivative of a Polynomial Function | Intro to Calculus

[@lukejeronimo6040]

Take me back to algebra 😭😭😭

[@Salza02]

Lmao good luck with college math classes 💀

[@peterk.2108]

@@Salza02multiplying and subtracting oh GOD 😪😫

[@s1ck_edits]

This is basic 💀

[@Zoeluss6969]

@@Salza02 not just math also PHYSICS

[@cjlance_coconut]

More calc please! I could use the review🙌

[@eashan2464]

agreed

[@duggirambabu7792]

*Formulae:* 1). If f(x) = xⁿ then f¹(x) = nxⁿ⁻¹ 2). If f(x) = x then f¹(x) = 1 3). If f(x) = k then f¹(x) = 0 where k is a constant If f(x) = 4x³ + 2x - 1 then f¹(x) = 4 * 3x² + 2 * 1 - 0 = 12x² + 2

[@wasordx3245]

But how were these formulae found?

[@neutronzz3543]

@@wasordx3245 why don't you google, the OP probably doesn't know

[@wasordx3245]

@@neutronzz3543 Google ain't helpin gonna ask the GPT

[@maxpopkov1432]

@@wasordx3245jeremy klassen

[@awvz_1194]

Both 2 and 3 follow from 1 and are pointless to write

[@pedrobizondania5467]

I just finished calculus 3, and yeah, what you learn in calculus 1 become very easy after go through enough pain, suffering and doubt. Don't give up people, im really not that smart and managed to survive

[@sethcamargo1928]

I love that you have to make it to calc 3 to figure out where the volume eq for a sphere comes from. Felt satisfying doing a triple integral for a unit sphere.

[@WomenCallYouMoid]

@@sethcamargo1928 I've only made it to the area of a circle. But I'm starting to learn :)

[@tasfiajeba6425]

What references are you using? please kindly share

[@peterk.2108]

I assume you also work hard as fuck

[@WillDynamitebeats]

They have to teach you all different types of calculus just till u get a phd when they tell you how to create your own math and then realize all math is made up

[@ceoof601]

Hardest American calculus course:

[@imsubbingtowhoeversubstome8342]

You after posting this comment: 🤓

[@WomenCallYouMoid]

All calculus 1 courses start with these things. It even says "First time doing calculus." Wtf is wrong with you? Oh, nevermind. You're the ceo of "🤓"

[@ceoof601]

@@WomenCallYouMoid bro got worked up by a joke

[@BraceGD]

@@WomenCallYouMoid bro got worked up by a joke

[@jtris01]

Buddy the caption says "Intro to Calculus." Do you expect him to be doing Taylor series or some shit?

[@abhijeetbharti540]

Very easy question bring some harder questions.

[@abbieamavi]

this is easy, especially the way you explain it. thank you!

[@harrisonbesse8534]

You’re the goat bro thanks

[@atinybruh]

I love derivatives, prob my favourite thing in math

[@maxpopkov1432]

Anti-derivatives would like to integrate you today.

[@bleh-zj1hy]

​@@maxpopkov1432😂 noice

[@bleh-zj1hy]

I love integrals

[@zeetronn]

I know the answer very well its pretty easy, but man, take me back to algebra its so much fun

[@geraldtowler3412]

I used to miss this problem a lot but now I completely understand the break down.

[@bodesshorts8640]

As a Egyptian grade 8th student this is a piece of cake

[@shikharpatidar4356]

👌👌 nice

[@FRXvideos]

Good ☺️

[@nikhilbeastb2551]

Meanwhile the 8th Grade Indian Kid:

[@gigguko6214]

It says intro to polynomials.

[@johnmarcusengreso8273]

​@@gigguko6214basic calculus Taking derivatives OF polynomials Not the same thing

[@jorgegarza4172]

I tried to calculate the anti derivative 💀 using power rule, realized my mistake 3 seconds in and solved it this also my sound weird but I’m in 8th grade

[@zerohz]

I get the joke but for all foreigners calculus is only taught in class 11 & 12.

[@rajeshe5279]

​@@zerohzSame in India as well Got main maths exam tomorrow😂

[@saranyaj1115]

Wow very interesting!

[@connorfaggionato1971]

Great vid!

[@Kurzgesagt_fan]

To calculate the derivative \( f'(x) \) of the function \( f(x) = 4x^3 + 2x - 1 \), we'll apply the basic rules of differentiation. Specifically, we will use the power rule and the constant rule. 1. **Differentiate \(4x^3\):** The power rule states that if \( f(x) = x^n \), then \( f'(x) = nx^{n-1} \). For \( 4x^3 \): \[ \frac{d}{dx}(4x^3) = 4 \cdot \frac{d}{dx}(x^3) = 4 \cdot 3x^{3-1} = 12x^2 \] 2. **Differentiate \(2x\):** Again, using the power rule: \[ \frac{d}{dx}(2x) = 2 \cdot \frac{d}{dx}(x) = 2 \cdot 1 = 2 \] 3. **Differentiate \(-1\):** The constant rule states that the derivative of a constant is zero: \[ \frac{d}{dx}(-1) = 0 \] Now, combine the results of each term: \[ f'(x) = 12x^2 + 2 + 0 \] Therefore, the derivative \( f'(x) \) of the function \( f(x) = 4x^3 + 2x - 1 \) is: \[ f'(x) = 12x^2 + 2 \]

[@exiledfrommyself]

I've never heard the word decrement before. I'm going to start using it.

[@muhammadyounus7643]

Guess you can say it derives from increment

[@somebody_33]

Answer choices A and B can be eliminated because the derivative of the first term of f(x), 4x^3, is 12x^2 by the Power Rule. Since only answer choice C has 12x^2 for the first term of f’(x), C is the final answer. This is basically easy-level calculus. Things get more complicated as you go on.

[@leann8459]

Thanks a lot for this. It was very helpful

[@Vengeance107]

Why am I getting recommended this, I'm in algebra 1 💀

[@fudgen.a1249]

It preparing you for the future.

[@Hippo464]

I'm in abstract algebra lmao

[@jamisondelacruz6797]

It's not algebra imao

[@maxpopkov1432]

Because it’s easy

[@Bozhidar_Delchev]

Which grade in America are you?💀

[@ritaTayade-dx6bw]

Thank you ❤❤❤

[@souravmohanty1200]

Thanks sir 🙏💯

[@callmehayu]

Take me back to algebra is so real 🙏

[@ebuka_yt5030]

Take me back to algebra

[@bugeatbugs]

thank you ❤️❤️

[@yennako]

omfg this saved my life i tried figuring out differentiability without learning this beforehand and boy was it confusing

[@-ClerzZ-]

There is an easy formular to figure these out in a second. If it was by first principles, it would be more difficult but it's not.

[@syndrmeamv4593]

Definitely going with D on this one 💀

[@user-yt4rq4oi8y]

Thank you i really like you 😊

[@junefrtho6200]

D. Take me back to algebra

[@souravmohanty1200]

cc thanks sir 🙏💯

[@souravmohanty1200]

C. Thanks sir 🙏💯

[@thesnack126]

after diffe i wish all math was this easy

[@yongchen7770]

Bruh you helped me pass the school test 😂THANK YOU ❤😊

[@louisadewuyi8228]

Just take me back to algebra pls😢

[@assault_is_here961]

Thanks mannn

[@mirlande023]

Nice

[@jacobbrown9894]

I remember the way to do most of these math questions youtube is recommending me but this was not one of them lol

[@suhaimiabdulghani1041]

How the concept happen...it just like memorise only.

[@gonzlili1221]

I just took psats and haven’t gotten to calc yet, a question was similar on here, glad to know that this is simple and now I know for the future. Thanks man 👊 and keep the good work. These are really simple and helpful.

[@neydamariluazconaquispe9293]

12x2+2

[@souravmohanty1200]

Cc thanks sir 🙏💯 ever

[@user-yi7ro2oh8c]

❤❤

[@lowlightevangelist9431]

He wrote the 4 like a 9 and my attention slope dropped.

[@thebluecreeper2574]

I started doing calculus at 11 years old and you are helping me a lot so far :D

[@peterk.2108]

Okay Mr. Boy genius

[@thebluecreeper2574]

@@peterk.2108 thank you

[@user-gv7ks2go2w]

Jee advanced toughest question ever💀

[@user-pt7yy6hl6w]

Tq sar

[@ezhilarasana7837]

Applying the formula in nx power n-1

[@WYNKZGG]

This is so ez I did this fn just by reviewing the formula that it matched my ideas with

[@AmCanTech]

C

[@lolmao3195]

I just failed the exam about derivatives and this video shows up 💀

[@WomenCallYouMoid]

Was it hard? What part did you fail?

[@WomenCallYouMoid]

Me want to know pls

[@keshavedits38]

@@WomenCallYouMoid bruh calculus is not impossible And derivatives are pretty easy

[@rooneyarmy5318]

Me too😢

[@peterk.2108]

@@keshavedits38 maybe it wasn’t taught well to them

[@_Discipline2Success]

Algebra in 6th standerd:-😃. Algebra in 11and 12th:-💀

[@Avighna]

Man, even calc 1 students would find this easy.

[@rorymax]

Yeah obviously this is like the most basic thing in calc lmao

[@Otter-jh2zg]

In one second I knew it was C

[@mirlande023]

Like it

[@fastAf399]

I did that too

[@YeahEsCereal]

I would pick D

[@zerohz]

My schools teachers would get embarassed if such questions came in exam.

[@badribishaldas9627]

Yes now calculate the Gradient of the Potential energy Function to Find the Work done when an Object traverses in a Black Hole Under Conservative and Non Conservative forces. And assume the Non Conservative forces are Air Friction and have minimalist effect on the Internal Potential Energy. U = 3XY/(X+Y) x arctan(cos³x^y)

[@reapix6430]

Air friction in a black hole XD

[@carultch]

There is no potential function when the force field is non-conservative.

[@youtubeisdeletingmyreplies2815]

And now use epsilon delta definitivion of limit to prove your result

[@user-nv5rg1xo7g]

Please take your time and teach

[@amitavadasgupta6985]

A)f(x)=x^3 /3 +3x

[@maxpopkov1432]

Bro so easy

[@professordumbledore369]

Answer C power rule differentiation

[@vellbariaofficial]

I got it right before the answer appeared!!! ❤❤❤

[@clutchgaming4002]

bro i'm literally studying this in grade 7

[@mrhoneybadger5539]

this is a certified "american school system" moment

[@nataliecervantes7532]

This is calculus? I’m taking this rn in my college algebra class. The last time I took algebra was over 5 years ago and never seen these before… makes sense now. But don’t know why they would put calculus in an introductory algebra course 🥹

[@anoseditz235]

We learn it in 12th grade in Türkiye 🇹🇷

[@shiv_-_-_-_-_-]

12x^3+2

[@Teamstudy4595]

Option (D)

[@gljdds4164]

this is such an easy question

[@tlangdon12]

Only if you have been taught calculus!

[@user-ir1jh5fx6d]

f(x)=x-8x+15

[@mtf62]

Choice D.. Take me back to Algebra. 🤣

[@kennethroman669]

Hmm sir why the -1 became +0? Can you explain it here in the comment? Nice teaching i understand it under a min thx

[@qonecsion4118]

Letter choice D for me!

[@chaz_gaming]

the 50 other derivative rules in question

[@user-uk1jh5pk4f]

What are you using as a question provider.

[@bhupeshnandardhane5630]

Just integrate the options if you are unable to find the derivative 💀

[@carultch]

Usually it's easier to do it the other way around. It's very rare that it is easier to integrate than it is to find a derivative.

[@esphix]

a constant is actually just the same as: (the constant) * x^0 so when you differentiate cx^0 you just end up multiplying by 0 -> 0*c*x^-1

[@gurniazsinghsidhu9545]

In India we do this I 9th grade

[@muhammadyogaa.9097]

it becomes 0 because actually +1=+1X⁰ +1.0X-¹ 0

[@michaelribeiro4818]

Letter C

[@norastars1581]

Can it be solved according to the laws of short multiplication? like. (a-b)^=^a^+2ab-b. Yes or no

[@Flavio.R]

Im in grade 8th but for being the basic staff calculus doesnt seem that hard

[@Batette]

Excuse me, what book are the examples taken from?

[@Robin-hoodie]

Polynome, take me home, to the field I belong Algebra or geometry Polynome, take me home

[@tuqa2195]

What i didn't know that calculus have derivative !!! I take it in 12th grade

[@Cityboy_Uv786]

Is this fr on the SAT? 💀.. where r my indian Friends😂

[@hiexbris5079]

Present sir, how the hell these call these paper close to hard

[@user-sk3nf2vv4p]

Still how many Indians won a Nobel prize? Using with their education system, few right. Cracking the "hardest exam" doesn't mean something you could discover something new. India's education still lacks than Western one.

[@Cityboy_Uv786]

@@user-sk3nf2vv4p so this Q is from the western style?💀...not arguing but straight up stating facts..it's mostly the indians that's smart...india just don't have the appropriate equipment..that's why most of the indians travel abroad which at the end..the effort provided by Indians makes it up for that specific country..so at the end it's that country which is benefited by the person's education

[@DJreeik]

I don’t wanna brag but this differentiation question is basic level math. I learnt this a year ago and I’m 15. If u Americans are struggling with this then imagine what hard math is like for me…

[@badribishaldas9627]

@@user-sk3nf2vv4p If We check history, We invented Aeroplane, gave theory on Multiverses. Showed that the Universe existed very long time before Earth was made. had ancient theories which proved that The Universe will cease to exist and new universe will born and the cycle will continue towards the end of space time. Your American NASA has Statue of Shiva in it. The Scientists in NASA testify that the Indians were the first to prove that the Multiverses exist and it is an infinite loop, of birth and death of universes. Now you say....

[@OriharaKaoru]

how did i take calculus in university and not remember any of this

[@Jgm101music]

12yo me going straight to D 🗿

[@alimon7421]

Diss eminem = song about u 🤠✌️❣️

[@mr.rukojop1537]

Have he choose B?

[@TZach1987]

take me baaaaaaack

[@Zaming_]

I was waiting to the joke

[@farahali5754]

جزاكم الله خيرا صدق

[@bishopwilfredmtshwene5072]

I choose D

[@AverageAnnusEnthusiast]

*laughs in finding the derivative of trigonometric and logarithmic functions *