Finding the Derivative of a Polynomial Function | Intro to Calculus

Пікірлер: 289

  • @lukejeronimo6040
    @lukejeronimo60406 ай бұрын

    Take me back to algebra 😭😭😭

  • @Salza02

    @Salza02

    2 ай бұрын

    Lmao good luck with college math classes 💀

  • @peterk.2108

    @peterk.2108

    Ай бұрын

    @@Salza02multiplying and subtracting oh GOD 😪😫

  • @s1ck_edits

    @s1ck_edits

    Ай бұрын

    This is basic 💀

  • @Zoeluss6969

    @Zoeluss6969

    Ай бұрын

    @@Salza02 not just math also PHYSICS

  • @cjlance_coconut
    @cjlance_coconut Жыл бұрын

    More calc please! I could use the review🙌

  • @eashan2464

    @eashan2464

    Жыл бұрын

    agreed

  • @duggirambabu7792
    @duggirambabu7792 Жыл бұрын

    *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

    @wasordx3245

    7 ай бұрын

    But how were these formulae found?

  • @neutronzz3543

    @neutronzz3543

    6 ай бұрын

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

  • @wasordx3245

    @wasordx3245

    6 ай бұрын

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

  • @maxpopkov1432

    @maxpopkov1432

    4 ай бұрын

    @@wasordx3245jeremy klassen

  • @awvz_1194

    @awvz_1194

    3 ай бұрын

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

  • @pedrobizondania5467
    @pedrobizondania5467 Жыл бұрын

    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

    @sethcamargo1928

    Жыл бұрын

    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

    @WomenCallYouMoid

    Жыл бұрын

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

  • @tasfiajeba6425

    @tasfiajeba6425

    2 ай бұрын

    What references are you using? please kindly share

  • @peterk.2108

    @peterk.2108

    Ай бұрын

    I assume you also work hard as fuck

  • @WillDynamitebeats

    @WillDynamitebeats

    Ай бұрын

    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

  • @abhijeetbharti540
    @abhijeetbharti540 Жыл бұрын

    Very easy question bring some harder questions.

  • @harrisonbesse8534
    @harrisonbesse85345 ай бұрын

    You’re the goat bro thanks

  • @abbieamavi
    @abbieamavi5 ай бұрын

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

  • @ceoof601
    @ceoof601 Жыл бұрын

    Hardest American calculus course:

  • @imsubbingtowhoeversubstome8342

    @imsubbingtowhoeversubstome8342

    Жыл бұрын

    You after posting this comment: 🤓

  • @WomenCallYouMoid

    @WomenCallYouMoid

    Жыл бұрын

    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

    @ceoof601

    Жыл бұрын

    @@WomenCallYouMoid bro got worked up by a joke

  • @BraceGD

    @BraceGD

    Жыл бұрын

    @@WomenCallYouMoid bro got worked up by a joke

  • @jtris01

    @jtris01

    Жыл бұрын

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

  • @atinybruh
    @atinybruh Жыл бұрын

    I love derivatives, prob my favourite thing in math

  • @maxpopkov1432

    @maxpopkov1432

    4 ай бұрын

    Anti-derivatives would like to integrate you today.

  • @bleh-zj1hy

    @bleh-zj1hy

    3 ай бұрын

    ​@@maxpopkov1432😂 noice

  • @bleh-zj1hy

    @bleh-zj1hy

    3 ай бұрын

    I love integrals

  • @zeetronn
    @zeetronn Жыл бұрын

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

  • @bodesshorts8640
    @bodesshorts86404 ай бұрын

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

  • @geraldtowler3412
    @geraldtowler34122 ай бұрын

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

  • @shikharpatidar4356
    @shikharpatidar4356 Жыл бұрын

    👌👌 nice

  • @FRXvideos
    @FRXvideos Жыл бұрын

    Good ☺️

  • @exiledfrommyself
    @exiledfrommyself Жыл бұрын

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

  • @muhammadyounus7643

    @muhammadyounus7643

    Жыл бұрын

    Guess you can say it derives from increment

  • @saranyaj1115
    @saranyaj111510 ай бұрын

    Wow very interesting!

  • @Vengeance107
    @Vengeance107 Жыл бұрын

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

  • @fudgen.a1249

    @fudgen.a1249

    Жыл бұрын

    It preparing you for the future.

  • @Hippo464

    @Hippo464

    10 ай бұрын

    I'm in abstract algebra lmao

  • @jamisondelacruz6797

    @jamisondelacruz6797

    9 ай бұрын

    It's not algebra imao

  • @maxpopkov1432

    @maxpopkov1432

    4 ай бұрын

    Because it’s easy

  • @Bozhidar_Delchev

    @Bozhidar_Delchev

    24 күн бұрын

    Which grade in America are you?💀

  • @callmehayu
    @callmehayu27 күн бұрын

    Take me back to algebra is so real 🙏

  • @connorfaggionato1971
    @connorfaggionato1971 Жыл бұрын

    Great vid!

  • @nikhilbeastb2551
    @nikhilbeastb2551 Жыл бұрын

    Meanwhile the 8th Grade Indian Kid:

  • @gigguko6214

    @gigguko6214

    10 ай бұрын

    It says intro to polynomials.

  • @johnmarcusengreso8273

    @johnmarcusengreso8273

    7 ай бұрын

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

  • @jorgegarza4172

    @jorgegarza4172

    3 ай бұрын

    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

    @zerohz

    3 ай бұрын

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

  • @rajeshe5279

    @rajeshe5279

    3 ай бұрын

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

  • @leann8459
    @leann84596 ай бұрын

    Thanks a lot for this. It was very helpful

  • @ebuka_yt5030
    @ebuka_yt5030 Жыл бұрын

    Take me back to algebra

  • @ritaTayade-dx6bw
    @ritaTayade-dx6bw2 ай бұрын

    Thank you ❤❤❤

  • @Kurzgesagt_fan
    @Kurzgesagt_fan18 күн бұрын

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

  • @souravmohanty1200
    @souravmohanty1200 Жыл бұрын

    Thanks sir 🙏💯

  • @bugeatbugs
    @bugeatbugs3 ай бұрын

    thank you ❤️❤️

  • @syndrmeamv4593
    @syndrmeamv45939 ай бұрын

    Definitely going with D on this one 💀

  • @AmCanTech
    @AmCanTech Жыл бұрын

    C

  • @somebody_33
    @somebody_33 Жыл бұрын

    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.

  • @junefrtho6200
    @junefrtho620019 күн бұрын

    D. Take me back to algebra

  • @suhaimiabdulghani1041
    @suhaimiabdulghani10416 күн бұрын

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

  • @yennako
    @yennako9 ай бұрын

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

  • @thesnack126
    @thesnack1265 ай бұрын

    after diffe i wish all math was this easy

  • @neydamariluazconaquispe9293
    @neydamariluazconaquispe9293 Жыл бұрын

    12x2+2

  • @louisadewuyi8228
    @louisadewuyi82287 ай бұрын

    Just take me back to algebra pls😢

  • @-ClerzZ-
    @-ClerzZ- Жыл бұрын

    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.

  • @jacobbrown9894
    @jacobbrown98942 ай бұрын

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

  • @user-yt4rq4oi8y
    @user-yt4rq4oi8y6 ай бұрын

    Thank you i really like you 😊

  • @user-gv7ks2go2w
    @user-gv7ks2go2wАй бұрын

    Jee advanced toughest question ever💀

  • @gonzlili1221
    @gonzlili1221 Жыл бұрын

    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.

  • @user-yi7ro2oh8c
    @user-yi7ro2oh8cАй бұрын

    ❤❤

  • @souravmohanty1200
    @souravmohanty1200 Жыл бұрын

    cc thanks sir 🙏💯

  • @mirlande023
    @mirlande0233 ай бұрын

    Nice

  • @ezhilarasana7837
    @ezhilarasana7837 Жыл бұрын

    Applying the formula in nx power n-1

  • @souravmohanty1200
    @souravmohanty1200 Жыл бұрын

    C. Thanks sir 🙏💯

  • @assault_is_here961
    @assault_is_here9616 ай бұрын

    Thanks mannn

  • @souravmohanty1200
    @souravmohanty1200 Жыл бұрын

    Cc thanks sir 🙏💯 ever

  • @professordumbledore369
    @professordumbledore369 Жыл бұрын

    Answer C power rule differentiation

  • @yongchen7770
    @yongchen77706 ай бұрын

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

  • @youtubeisdeletingmyreplies2815
    @youtubeisdeletingmyreplies28155 ай бұрын

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

  • @thebluecreeper2574
    @thebluecreeper25742 ай бұрын

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

  • @peterk.2108

    @peterk.2108

    Ай бұрын

    Okay Mr. Boy genius

  • @thebluecreeper2574

    @thebluecreeper2574

    Ай бұрын

    @@peterk.2108 thank you

  • @user-pt7yy6hl6w
    @user-pt7yy6hl6w5 ай бұрын

    Tq sar

  • @WYNKZGG
    @WYNKZGG9 ай бұрын

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

  • @fastAf399
    @fastAf399 Жыл бұрын

    I did that too

  • @YeahEsCereal
    @YeahEsCereal Жыл бұрын

    I would pick D

  • @gljdds4164
    @gljdds41646 ай бұрын

    this is such an easy question

  • @tlangdon12

    @tlangdon12

    20 күн бұрын

    Only if you have been taught calculus!

  • @user-nv5rg1xo7g
    @user-nv5rg1xo7g7 ай бұрын

    Please take your time and teach

  • @mirlande023
    @mirlande0233 ай бұрын

    Like it

  • @anoseditz235
    @anoseditz2353 ай бұрын

    We learn it in 12th grade in Türkiye 🇹🇷

  • @amitavadasgupta6985
    @amitavadasgupta6985 Жыл бұрын

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

  • @shiv_-_-_-_-_-
    @shiv_-_-_-_-_- Жыл бұрын

    12x^3+2

  • @_Discipline2Success
    @_Discipline2Success Жыл бұрын

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

  • @Otter-jh2zg
    @Otter-jh2zg14 күн бұрын

    In one second I knew it was C

  • @lowlightevangelist9431
    @lowlightevangelist943110 ай бұрын

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

  • @Avighna
    @Avighna Жыл бұрын

    Man, even calc 1 students would find this easy.

  • @rorymax

    @rorymax

    Жыл бұрын

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

  • @user-ir1jh5fx6d
    @user-ir1jh5fx6d6 ай бұрын

    f(x)=x-8x+15

  • @lolmao3195
    @lolmao3195 Жыл бұрын

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

  • @WomenCallYouMoid

    @WomenCallYouMoid

    Жыл бұрын

    Was it hard? What part did you fail?

  • @WomenCallYouMoid

    @WomenCallYouMoid

    Жыл бұрын

    Me want to know pls

  • @keshavedits38

    @keshavedits38

    Жыл бұрын

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

  • @rooneyarmy5318

    @rooneyarmy5318

    5 ай бұрын

    Me too😢

  • @peterk.2108

    @peterk.2108

    Ай бұрын

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

  • @Teamstudy4595
    @Teamstudy4595 Жыл бұрын

    Option (D)

  • @maxpopkov1432
    @maxpopkov14324 ай бұрын

    Bro so easy

  • @user-uk1jh5pk4f
    @user-uk1jh5pk4f8 ай бұрын

    What are you using as a question provider.

  • @kennethroman669
    @kennethroman669Ай бұрын

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

  • @michaelribeiro4818
    @michaelribeiro4818 Жыл бұрын

    Letter C

  • @norastars1581
    @norastars1581 Жыл бұрын

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

  • @vellbariaofficial
    @vellbariaofficial7 ай бұрын

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

  • @zerohz
    @zerohz3 ай бұрын

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

  • @qonecsion4118
    @qonecsion41189 ай бұрын

    Letter choice D for me!

  • @mtf62
    @mtf626 ай бұрын

    Choice D.. Take me back to Algebra. 🤣

  • @clutchgaming4002
    @clutchgaming40024 ай бұрын

    bro i'm literally studying this in grade 7

  • @Batette
    @Batette5 ай бұрын

    Excuse me, what book are the examples taken from?

  • @badribishaldas9627
    @badribishaldas9627 Жыл бұрын

    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

    @reapix6430

    Жыл бұрын

    Air friction in a black hole XD

  • @carultch

    @carultch

    7 ай бұрын

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

  • @chaz_gaming
    @chaz_gaming Жыл бұрын

    the 50 other derivative rules in question

  • @muhammadyogaa.9097
    @muhammadyogaa.9097 Жыл бұрын

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

  • @OriharaKaoru
    @OriharaKaoru2 ай бұрын

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

  • @gurniazsinghsidhu9545
    @gurniazsinghsidhu9545 Жыл бұрын

    In India we do this I 9th grade

  • @mr.rukojop1537
    @mr.rukojop1537 Жыл бұрын

    Have he choose B?

  • @mrhoneybadger5539
    @mrhoneybadger55392 ай бұрын

    this is a certified "american school system" moment

  • @Flavio.R
    @Flavio.R Жыл бұрын

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

  • @shannonmcdonald7584
    @shannonmcdonald75843 ай бұрын

    D

  • @bhupeshnandardhane5630
    @bhupeshnandardhane5630 Жыл бұрын

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

  • @carultch

    @carultch

    7 ай бұрын

    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.

  • @nataliecervantes7532
    @nataliecervantes75324 ай бұрын

    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 🥹

  • @user-np3sn9zr7t
    @user-np3sn9zr7t9 ай бұрын

    How 3 -1 from where

  • @esphix
    @esphix5 ай бұрын

    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

  • @bishopwilfredmtshwene5072
    @bishopwilfredmtshwene50727 ай бұрын

    I choose D

  • @tuqa2195
    @tuqa21957 ай бұрын

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

  • @furartstyle1015
    @furartstyle1015Ай бұрын

    The answer is x=0.3854

  • @alimon7421
    @alimon7421 Жыл бұрын

    Diss eminem = song about u 🤠✌️❣️

  • @TZach1987
    @TZach198710 ай бұрын

    take me baaaaaaack

  • @user-do5rq3nt2x
    @user-do5rq3nt2x2 ай бұрын

    A

  • @farahali5754
    @farahali5754 Жыл бұрын

    جزاكم الله خيرا صدق

  • @Zaming_
    @Zaming_ Жыл бұрын

    I was waiting to the joke