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

[@CornelCretu-rt2zw]

Was my choice too😂😂😂😂

[@cjlance_coconut]

More calc please! I could use the review🙌

[@eashan2464]

agreed

[@MrHotlipsholohan]

U need to study ur notes from teacher

[@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!

[@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

[@byungbunny8553]

I need more of these 😢 helping prep for what to expect in calculus

[@harrisonbesse8534]

You’re the goat bro thanks

[@abhijeetbharti540]

Very easy question bring some harder questions.

[@abcjelly]

ur method is simpler 👍, thx 🙏

[@AubreyLemus]

You’re honestly the best explainer! I’m learning some different topics right now because I have math nwea next week

[@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

[@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.

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

[@zeetronn]

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

[@Allaboutenhyphen]

Thanks for easily teach....

[@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.

[@connorfaggionato1971]

Great vid!

[@saranyaj1115]

Wow very interesting!

[@leonardodavinci4447]

Thanks man!!!

[@FRXvideos]

Good ☺️

[@callmehayu]

Take me back to algebra is so real 🙏

[@shikharpatidar4356]

👌👌 nice

[@leann8459]

Thanks a lot for this. It was very helpful

[@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

[@VillagerNewsNetwork]

It’s the antonym of increment

[@AhmedAbdi-jv1rb]

Nice!

[@RSLT]

Cool 😎 🆒️ 😎 🆒️

[@FoosterExtra]

❤ Option (D) I'd love this.

[@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.

[@ebuka_yt5030]

Take me back to algebra

[@bugeatbugs]

thank you ❤️❤️

[@anujajha-pk9qx]

C.12x^2+2

[@adeyinkaolayiwola8780]

This is cool

[@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?💀

[@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

[@yennako]

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

[@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

[@mirlande023]

Nice

[@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

[@neydamariluazconaquispe9293]

12x2+2

[@souravmohanty1200]

Thanks sir 🙏💯

[@adgf1x]

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

[@partypartyyeah3333]

This one is called ''determinant" in my country:)

[@Nazmatutorials]

What application are you using??

[@jessaminedecastro7573]

This is pretty easy

[@Sitrameki]

Thank you i really like you 😊

[@syndrmeamv4593]

Definitely going with D on this one 💀

[@professordumbledore369]

Answer C power rule differentiation

[@VeraKoomson-j2w]

Please take your time and teach

[@YeahEsCereal]

I would pick D

[@junefrtho6200]

D. Take me back to algebra

[@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.

[@norastars1581]

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

[@beatricemailozi7211]

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

[@yongchen7770]

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

[@canicesimpson2006]

B

[@-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.

[@assault_is_here961]

Thanks mannn

[@AkalitosZephyr-qv1xe]

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

[@DjodjoKApe]

f(x)=x-8x+15

[@zerohz]

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

[@lowlightevangelist9431]

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

[@lolmao3195]

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

[@keshav27691]

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

[@rooneyarmy5318]

Me too😢

[@peterk.2108]

@@keshav27691 maybe it wasn’t taught well to them

[@VillagerNewsNetwork]

Live, laugh, power rule

[@youtubeisdeletingmyreplies2815]

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

[@AmCanTech]

C

[@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

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

12x^3+2

[@farahali5754]

جزاكم الله خيرا صدق

[@Avighna]

Man, even calc 1 students would find this easy.

[@rorymax]

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

[@souravmohanty1200]

C. Thanks sir 🙏💯

[@jacobbrown9894]

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

[@ezhilarasana7837]

Applying the formula in nx power n-1

[@Batette]

Excuse me, what book are the examples taken from?

[@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 🥹

[@AlizaBista-f1z]

Tq sar

[@souravmohanty1200]

cc thanks sir 🙏💯

[@N3h_m3]

What are you using as a question provider.

[@suhaimiabdulghani1041]

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

[@_Discipline2Success]

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

[@muhammadyogaa.9097]

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

[@Otter-jh2zg]

In one second I knew it was C

[@Kenmakesworld]

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

[@souravmohanty1200]

Cc thanks sir 🙏💯 ever

[@vellbariaofficial]

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

[@WYNKZGG]

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

[@TommyShelby-p6e]

Why did u minus 3 and 1 ?

[@ADITYAKr-y7z]

Jee advanced toughest question ever💀

[@Teamstudy4595]

Option (D)

[@qonecsion4118]

Letter choice D for me!

[@mrhoneybadger5539]

this is a certified "american school system" moment

[@michaelribeiro4818]

Letter C

[@anujajha-pk9qx]

Easiest question

[@sahasra_loveyourself_]

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

[@louisadewuyi8228]

Just take me back to algebra pls😢

[@mtf62]

Choice D.. Take me back to Algebra. 🤣

[@Merirandomduniya]

Can it help fight poverty?

[@fastAf399]

I did that too