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

[@_eclxpse]

it's not that bad I'm in 9th grade and I've learned integral and derivative calculus, it just takes time and repetition

[@cjlance_coconut]

More calc please! I could use the review🙌

[@eashan2464]

agreed

[@MrHotlipsholohan]

U need to study ur notes from teacher

[@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.

[@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

[@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

[@abbieamavi]

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

[@ceoof601]

Hardest American calculus course:

[@imsubbingtowhoeversubstome8342]

You after posting this comment: 🤓

[@ceoof601]

@Mike bro got worked up by a joke

[@BraceGD]

@Mike 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?

[@kotarotennouji5238]

​@Mike First time doing calc has much more preparation for derivatives using limits and eventually teaching the definition of a derivative. There's also continuity, asymptotes, etc and Simply teaching power doesn't help people understand why it works.

[@harrisonbesse8534]

You’re the goat bro thanks

[@abhijeetbharti540]

Very easy question bring some harder questions.

[@geraldtowler3412]

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

[@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

[@ajae4616]

Thank you for this explanation. Been struggling to understand this.

[@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: \[ f'(x) = 12x^2 + 2 \]

[@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

[@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.

[@callmehayu]

Take me back to algebra is so real 🙏

[@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

[@leonardodavinci4447]

Thanks man!!!

[@FoosterExtra]

❤ Option (D) I'd love this.

[@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😂

[@bodesshorts8640]

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

[@creativelad3680]

They teach differentiation In grade 8? Doubt

[@dingus6317]

@@creativelad3680 They teach differentiation in 8th grade in Texas too

[@creativelad3680]

@@dingus6317 where ? I haven't really heard of that Also do they just dump formulas or teach u core of calc

[@dingus6317]

​@@creativelad3680 It was in a suburb near Dallas, It was part of my Pre-AP algebra class and more of just an intro where we learned the differentiation rules and did some basic applications. We also took the PSAT in that class and if we scored high enough we could be exempt from taking our SATs and ACT in high school!

[@creativelad3680]

@@dingus6317 I guess one could say power rule is like 8th grade Anything more that power rule can be over 8th grade tho

[@leann8459]

Thanks a lot for this. It was very helpful

[@BiggestbossDD]

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?💀

[@saranyaj1115]

Wow very interesting!

[@shikharpatidar4356]

👌👌 nice

[@FRXvideos]

Good ☺️

[@yennako]

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

[@AhmedAbdi-jv1rb]

Nice!

[@-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.

[@Kenmakesworld]

As a Korean 7th grader, it is too easy problem😂 I already learned all Korean math curriculums.

[@anujajha-pk9qx]

C.12x^2+2

[@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.

[@suhaimiabdulghani1041]

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

[@connorfaggionato1971]

Great vid!

[@beatricemailozi7211]

Could you please slow down a bit ❤❤❤❤❤

[@gljdds4164]

this is such an easy question

[@tlangdon12]

Only if you have been taught calculus!

[@thesnack126]

after diffe i wish all math was this easy

[@AmCanTech]

C

[@ebuka_yt5030]

Take me back to algebra

[@youtubeisdeletingmyreplies2815]

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

[@ritaTayade-dx6bw]

Thank you ❤❤❤

[@neydamariluazconaquispe9293]

12x2+2

[@adgf1x]

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

[@adeyinkaolayiwola8780]

This is cool

[@syndrmeamv4593]

Definitely going with D on this one 💀

[@gonz_lilianna]

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.

[@jacobbrown9894]

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

[@junefrtho6200]

D. Take me back to algebra

[@jessaminedecastro7573]

This is pretty easy

[@RSLT]

Cool 😎 🆒️ 😎 🆒️

[@souravmohanty1200]

Thanks sir 🙏💯

[@Sitrameki]

Thank you i really like you 😊

[@professordumbledore369]

Answer C power rule differentiation

[@VeraKoomson-j2w]

Please take your time and teach

[@Avighna]

Man, even calc 1 students would find this easy.

[@rorymax]

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

[@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 🥹

[@ezhilarasana7837]

Applying the formula in nx power n-1

[@canicesimpson2006]

B

[@louisadewuyi8228]

Just take me back to algebra pls😢

[@DjodjoKApe]

f(x)=x-8x+15

[@souravmohanty1200]

C. Thanks sir 🙏💯

[@AkalitosZephyr-qv1xe]

It’s called the power rule right? Please state that

[@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

[@yongchen7770]

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

[@Nazmatutorials]

What application are you using??

[@WYNKZGG]

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

[@lowlightevangelist9431]

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

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

12x^3+2

[@YeahEsCereal]

I would pick D

[@lolmao3195]

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

[@keshavedits38]

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

[@rooneyarmy5318]

Me too😢

[@peterk.2108]

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

[@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

[@creativelad3680]

-1 x⁰=1 So -1x⁰=-1 Use power rule 0×-1/x Which is just 0

[@muhammadyogaa.9097]

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

[@GokuEditz09-d3s]

We learn it in 12th grade in Türkiye 🇹🇷

[@souravmohanty1200]

cc thanks sir 🙏💯

[@zerohz]

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

[@norastars1581]

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

[@selvimurthy2032]

hardest quetion in america

[@mirlande023]

Nice

[@qonecsion4118]

Letter choice D for me!

[@assault_is_here961]

Thanks mannn

[@farahali5754]

جزاكم الله خيرا صدق

[@michaelribeiro4818]

Letter C

[@souravmohanty1200]

Cc thanks sir 🙏💯 ever

[@FalolaAregbe]

❤❤

[@_Discipline2Success]

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

[@AlizaBista-f1z]

Tq sar

[@anujajha-pk9qx]

Easiest question

[@TommyShelby-p6e]

Why did u minus 3 and 1 ?

[@vellbariaofficial]

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

[@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.

[@Cream.cheese]

D

[@mtf62]

Choice D.. Take me back to Algebra. 🤣

[@Teamstudy4595]

Option (D)

[@N3h_m3]

What are you using as a question provider.

[@sahasra_loveyourself_]

I recently completed 10th🥲🥲i wish I would this channel before

[@maxpopkov1432]

Bro so easy

[@fastAf399]

I did that too

[@Robin-hoodie]

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

[@ssjbevegeta3008]

D... please, leave me alone😭

[@Yoshimitsu_kaze]

I did this is my 10th grade