Differentiation

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  • Опубликовано: 24 окт 2016
  • In this video I show you how to differentiate various simple and more complex functions. We use this to find the gradient, and also cover the second derivative. *Mistake at 5:43 - can you spot it?*
    Enjoy!
    www.buymeacoffee.com/starfish...
    www.starfishmaths.com
    starfishmaths@gmail.com

Комментарии • 1,4 тыс.

  • @progamer-ib8sf
    @progamer-ib8sf 2 месяца назад +76

    How many of you’ll clicked into organic chemistry tutor and came back to this video cause it was too advanced

  • @peaceoutt7339
    @peaceoutt7339 3 года назад +71

    This channel deserves all the subscribes.

  • @ull893
    @ull893 4 года назад +242

    You are the very first teacher i hear telling why we differentiate ! Thank you. I think i got it finally. Differentiation gives you the gradient at any point along the graph.

    • @srividhyamoorthy761
      @srividhyamoorthy761 2 года назад +5

      It gives u the slope of tangent line and secant lin e I am also 9 TH grader

    • @thinkstuff222
      @thinkstuff222 2 года назад +4

      Yeah, it's easier to understand once you know why in the world you do it

    • @justinquamina5508
      @justinquamina5508 Год назад +4

      No kidding, that simple explanation went a long way. Thinking of it as finding the gradient really filled in some blanks, instead of just learning how to differentiate.
      Next stop, limits. Is it just me, or does everyone learn more off RUclips than in actual class.

    • @RabiatuAbdullahiAliyu
      @RabiatuAbdullahiAliyu 11 месяцев назад

      @@srividhyamoorthy761 you o9k7

  • @samiulhauquechowdhury2740
    @samiulhauquechowdhury2740 3 года назад +101

    5.28 there is a mistake. the answer would be: 5x^3/2 + 2x^-3/2
    Solution: ruclips.net/video/5Eh9h_ryyJY/видео.html

    • @esraamousa7136
      @esraamousa7136 2 года назад +19

      I was looking at the comments to see if anybody noticed that! anyways, that means we all make mistakes and mistakes are ok, but hopefully she corrects it.

    • @akmpk2803
      @akmpk2803 2 года назад +6

      Thanks for the answer

    • @vanilla5831
      @vanilla5831 2 года назад +3

      Thank goodness. I got the same answer as you but thought I was wrong and couldn't find my mistake. Glad you wrote this comment. I was going to ask too

    • @kenyattajr4268
      @kenyattajr4268 2 года назад +1

      Yes on the last equation

    • @scarlett6735
      @scarlett6735 2 года назад +5

      um guys no, what she wrote is correct, the finals and is -3x^-5/2 + 2x^-3/2. If you still think its not, please kindly tell me where it went wrong ☺️ @Samiul Haque Chowdhury

  • @mr.vgamer6594
    @mr.vgamer6594 3 года назад +284

    As a complete beginner, this helped me get going with differentiation. Good video.

  • @user-sv2qm3op9e
    @user-sv2qm3op9e 5 лет назад +890

    Thank you I have my exam in 5 mins
    I’m now in a med uni guys 😂

  • @helenday5031
    @helenday5031 4 года назад +26

    I have a calendar with nice pictures accompanied by different wise or thoughtful sayings for each day and this video vaguely reminded me of the saying for the day from a few weeks ago. It was when Einstein said "Genius is making complex ideas simple". Except I would adjust what Einstein said to: "Genius (teaching) is making complex ideas (clear and comprehensible)".
    I've seen a few examples of genius teaching on various RUclips videos and THIS video (for which I'm most grateful) is one of those examples.

  • @themichaelosuya
    @themichaelosuya Год назад +17

    Literaaly one of the most well broken down maths video i've ever seen. It really helped a lot. Thank you

    • @rehanaktar
      @rehanaktar 2 месяца назад

      Hii ..from where u r?

  • @shahxad3084
    @shahxad3084 5 лет назад +28

    I'd love to have a math teacher like u..

  • @RufusEatsCheese
    @RufusEatsCheese 5 лет назад +10

    Thanks for a really clear video. Love the written form of the presentation. Gonna watch again and take some notes.

  • @updated_autopsy_report
    @updated_autopsy_report 2 года назад +63

    A few days ago I sat through a lesson on differentiation without really understanding what on earth any of it meant. Thank you so much for this simple and clear explanation, I feel like I’m now mostly caught up on the things I was confused about.

    • @jameswaweru3719
      @jameswaweru3719 2 года назад +6

      Same I Didn't understand all I heard was dy/dx

  • @programmer_techwolf
    @programmer_techwolf Год назад +3

    I was so confused what differentiation is and how to solve it. These simple questions with different challenges helped me understand to solve. It is really easy and now I love it.

  • @rachelcheah
    @rachelcheah 3 года назад +5

    Times and Take. This is a good term to remember when differentiating an equation. Thanks a million!

  • @untraman2791
    @untraman2791 Год назад +5

    Bro this 11 minutes long video explains better than what my professor teaches in an entire week lmao, thank you!

  • @malk7665
    @malk7665 3 месяца назад +2

    this is the first time I actually understood GCSE math fully you're an angel!! you actually made math fun.

  • @adahadapato
    @adahadapato 2 года назад +9

    wow, this is the explanation so far about differentiation, very simple. I've been on this almost all my life and never quite grasp it. Thank you.

  • @mikeantonin7580
    @mikeantonin7580 2 года назад +95

    This was a very helpful video in helping me understand the basics of differentiation, thank you so much for making this! On a smaller note, there seems to be a mistake in preparing the equation at 5:12.

    • @davidvashum3572
      @davidvashum3572 2 года назад +4

      Thats whats i also😞 think

    • @blossomochei4726
      @blossomochei4726 2 года назад +4

      Me too, I'm confused about that

    • @vibhormurti5877
      @vibhormurti5877 2 года назад +2

      what us the correct prepping?

    • @miss1635
      @miss1635 2 года назад +2

      Umm but I don't think so 😳... Am i wrong or right?

    • @virgie3184
      @virgie3184 2 года назад +6

      Exactly ..I was starting to overthink

  • @sholumovi1631
    @sholumovi1631 4 года назад +8

    I learn nothing during my 2 years of Higher Secondary and here I learn in less than 10 minutes. Brilliant.

  • @rotatingmaggot
    @rotatingmaggot Год назад +1

    you did what my entire ministry of education's maths website couldn't do, thank you miss starfish i owe you my life

  • @ayomidetaiwo62
    @ayomidetaiwo62 Год назад +15

    I've never understand differentiation better, thank you soo much for explaining better. This would really go a long way for a beginner like me.

  • @nelinijayasinghe742
    @nelinijayasinghe742 2 года назад +7

    That kinda hapiness that we get after learning a math lesson and having better confident for the sums is un measurable .... The one who teaches us to that position must be specificaly admired specially in Maths ... Thank you so much Starfish maths for this lovely explanation😊

  • @danielezet4949
    @danielezet4949 2 года назад +4

    Found everything I needed to know about differentiation in this video 🙏 thanks so much

  • @emezenos
    @emezenos Год назад

    THANK YOU, I'VE NEVER UNDERSTOOD THEM FROM LIKE A YEAR, BUT YOU HELPED ME OMG ILY

  • @introvertious3689
    @introvertious3689 2 года назад +2

    Really a great and helpful video on differentiation. Finally now I can start integration.

  • @Viksid2610
    @Viksid2610 3 года назад +58

    5:26
    In the 6th question ( y= 2xcube - 4 ) / √x
    When u multiplied....
    {2xcube × x to the power (-1/2)}
    It will be =
    2x to the power {3+(-1/2)}
    = 2x to the power {5/2}
    🤔🤔But u wrote 2x to the power {-3/2} !
    Am I right or wrong?

    • @tutufoboi8311
      @tutufoboi8311 3 года назад +7

      I thought I was the one who made the mistake. Thanks for clarifying

    • @Remiel_Plainview
      @Remiel_Plainview 3 года назад +6

      I've been scratching my head for over 15 mins figuring out that. Then I searched on the web and figured that she's made a mistake. 😊

    • @NehaSingh-ty2vk
      @NehaSingh-ty2vk 3 года назад

      yes i think she made a mistake there .

    • @user-xy1pt2br4x
      @user-xy1pt2br4x 3 года назад

      She says in the video description that it's a mistake

    • @petersalasia8243
      @petersalasia8243 3 года назад

      Indeed you are correct🚬

  • @naomichemwor4540
    @naomichemwor4540 3 года назад +9

    Thanks...a million...God bless you to keep on helping others..couldn't miss to subscribe...I love starfishmath..making me a real star..God bless...you more..

  • @SneekzAF
    @SneekzAF 2 года назад +1

    I was so clueless in class and this really helped me. Took the teacher 2 whole hours to explain in class and i still didn't understand anything. She took 5 mins and i completely understood everything. tysm

  • @user-bh1po4wf7u
    @user-bh1po4wf7u Год назад +6

    I literally cannot express myself in words! I can't tell u how much I was struggling with differentiation and integration. But after watching ur videos everything is just crystal clear to me. Thank you so much!

  • @GadgetsandbikesGB
    @GadgetsandbikesGB 6 лет назад +4

    Fantastic mam love your teaching and the kind of clarity u got is amazing

  • @urvikrithika0929
    @urvikrithika0929 3 года назад +54

    I have a test in 2 days.I am hoping that I'll do well and it's all because of you.Thank you soo much ❤️

    • @adeidra_
      @adeidra_ 3 года назад +1

      How was it? 👉👈

    • @urvikrithika0929
      @urvikrithika0929 3 года назад +4

      @@adeidra_ It was good
      I was really happy with my results 😊

    • @Ohmagat69420
      @Ohmagat69420 2 года назад +1

      @@adeidra_ umm.. 👉👈

    • @jenostewin7691
      @jenostewin7691 2 года назад +1

      Oh

    • @haydencrook1945
      @haydencrook1945 2 года назад +8

      @@adeidra_ was man tryna pull in a fucking A level maths comments section

  • @waaahhhvishhh9408
    @waaahhhvishhh9408 Год назад

    Amazing video! Very detailed step by step understanding for me to get it from scratch and for newbies thank you very much, therere many other vids out there that are much longer in length than this video, and do not even explain as well as yours!

  • @Zancaawi10
    @Zancaawi10 Год назад

    Absolutely after 2 minutes of watching I loved the differentiation calculas.
    Thank you

  • @halarefaie8675
    @halarefaie8675 4 года назад +3

    Perfect explanation thank you!

  • @adora2593
    @adora2593 6 лет назад +428

    Great video! I found it super helpful!

  • @chillvibez223
    @chillvibez223 Год назад +1

    After watching, I really understand now the basic properties of differentiation. Thanks, keep it up.👌

  • @moody8984
    @moody8984 9 месяцев назад +1

    It was really helpful to explain what you did in the last three questions. I was able to figure out what to do in question 4 and 5, but 6 was very disappointed that you were not interested in clarifying the answers.

  • @mahtabuddinsarker4362
    @mahtabuddinsarker4362 4 года назад +8

    I am a business background student. In my university curriculum one of the courses I have found the differentiation. I had no idea what differentiation was! I have done 2 classes and understood nothing. but I find out this video. now it makes sense to me. Thank you Starfish Maths. You are a lifesaver.

  • @srutibhatt3449
    @srutibhatt3449 2 года назад +3

    It's been hard for me to understand differentiation because of learning it in 7
    But u cleared my doubt.
    Thanks!

  • @brtheboy8
    @brtheboy8 Год назад

    can't say how much thankful I am for this video!!

  • @Mavrick36
    @Mavrick36 Год назад +1

    You are a brilliant teacher, thank you. Keep doing what you do 😊

  • @cobusleroux2169
    @cobusleroux2169 5 лет назад +66

    3 days of uni explained in 6 minutes. ty

    • @jeansznn5682
      @jeansznn5682 4 года назад +12

      higschool actually

    • @rowandowney553
      @rowandowney553 3 года назад +9

      If you spent 3 days on this in uni then you've gone to the wrong place

    • @cobusleroux2169
      @cobusleroux2169 3 года назад

      @@jeansznn5682 not in my highschool.

    • @cobusleroux2169
      @cobusleroux2169 3 года назад

      @@rowandowney553 is it supposed to be less?

    • @edimulo3903
      @edimulo3903 3 года назад

      What type of school......

  • @sarahfaisal6889
    @sarahfaisal6889 4 месяца назад +3

    send all love and support to your lovely channel

  • @rajamohanvenkatesh2790
    @rajamohanvenkatesh2790 8 месяцев назад

    Thank you so much for teaching Differentiation in the simplest way possible.

  • @jeremy-yq2qc
    @jeremy-yq2qc 2 года назад +1

    Great explanation, plus ur handwriting made it more great

  • @saymulhaque9078
    @saymulhaque9078 3 года назад +12

    i also got confused with the last equation mistake like how can u be so confident with the wrong calculation, but u can say that was a mistake done willingly to check if we r really focused and attentive :3

    • @ChefJB-ps8yn
      @ChefJB-ps8yn 3 года назад +1

      Loooool the last one also confused me and I had to battle my mind to remember the laws of indices

  • @The_Unintelligent_Speculator
    @The_Unintelligent_Speculator 5 лет назад +12

    I am studying stage 1 engineering with the OU and recently got onto calculus and differentiation. The books are terrible but watching this made it all so easy!
    Thank you 🙏🏼

    • @PO1S0N-1
      @PO1S0N-1 4 года назад +1

      what university are you at?
      focus on calculus 1,2 algebra 1,2
      mchanics, applied mechanics, electromagnetism, applied electromagnetism

    • @The_Unintelligent_Speculator
      @The_Unintelligent_Speculator 4 года назад +1

      x The open University for distance learning based in the UK

    • @Hamza-so7cl
      @Hamza-so7cl 9 месяцев назад

      I hope you have become an engineer @_Whitey_

  • @soulshine6236
    @soulshine6236 7 месяцев назад +1

    Your Intro was so beautiful and the Teaching Technique was awesome🌟

  • @831x10.
    @831x10. Год назад

    i couldnt understand differentiation in class at all as i find this topic not interesting to me, but I had so much homework abt this topic and decided to study and saw ur video. you explained it clearly and in such a simple way. thank you so much for this!

  • @Snowily
    @Snowily 3 года назад +18

    thank you so much! At first I was really frustrated cause I literally didn't understand anything about it. But after I watched your video, I truly understand differentiation❤️ I'm definitely looking forward to watching your other videos!!

  • @ghaaribkhurshid2389
    @ghaaribkhurshid2389 5 лет назад +4

    very helpful indeed! thanks a lot

  • @raichajebin3046
    @raichajebin3046 2 месяца назад

    It actually feels easy now that you explained them in a nice way. Thank you so muchhh✌️🥺

  • @EthanAllsop
    @EthanAllsop 5 месяцев назад +1

    Thank you so much my teacher has been teaching me this for the last 6 lessons and I've had no clue what's been going on until I watched this

  • @unruly_ronin
    @unruly_ronin 3 года назад +9

    Thank God, this is literally a lifesaver!!! Incredibly helpful stuff, thanks a bunch.

  • @anjolasworld
    @anjolasworld 3 года назад +5

    TIMES AND TAKE.....Brilliant! If only we had more teachers like you!!!

  • @suci6815
    @suci6815 23 дня назад +1

    Amazing video. You explained it so well. Thank you so much ❤

  • @Adil_LC
    @Adil_LC 2 года назад

    thank you so much you actually helped me out, i had no idea what differentiation actually meant, but your video helped me out so much. thank you may gob bless miss.

  • @THEWISEMEN24
    @THEWISEMEN24 4 года назад +6

    Thank you for such a clear explanation. its very easy ti understand and from what i have learnt from your explanation there seems to be a small contradiction on problem 6. I think you might want to have a look at it again . i might be wrong by the way

  • @mainestate727
    @mainestate727 3 года назад +35

    Hello ma'am. I would like to ask this.
    In the 6th problem (2x^3 - 4) 4x^-1/2.
    Why is it that 2x^3 x x^-1/2 = 2x^-3/2?
    Is power rule in exponents adds up all the exponents when the variables are the same?

    • @lokupoito3629
      @lokupoito3629 2 года назад +7

      i noticed that as well.. she must have multiplied the exponents instead of adding them.great video tho.

    • @ZenoDiac
      @ZenoDiac 2 года назад +1

      I also didn't get what she got.

    • @Allen-om8un
      @Allen-om8un 2 года назад +10

      I would like to ask if the answer would be 5x^(3/2) + 2x^(-3/2) just I can check if I was right. thankss

    • @julianajuarez4465
      @julianajuarez4465 2 года назад +1

      It was an error, I got -1/2 for the power for -4x

    • @ekuhnle2274
      @ekuhnle2274 2 года назад +1

      @@Allen-om8un yeah that's correct.

  • @paulinerebecca8115
    @paulinerebecca8115 2 года назад +2

    This is the best thing ever that dropped from heaven 😭😭 I could never understand this shit for a whole year!!! I'm glad I found this today luckily 😭❤️❤️

  • @spannervgtbigbill8236
    @spannervgtbigbill8236 2 года назад

    With the help of Starfish maths I can be able to solve any question concerning differentiation without a doubt, Thanks you so much for your time

  • @kittyughanze7533
    @kittyughanze7533 3 года назад +8

    Love you love you love you. I spent sleepless nights trying to find this and my teacher never made sense so I love you. Thank you so so so much.😂😂😂😂😂

  • @nathanmclaren8361
    @nathanmclaren8361 5 лет назад +10

    Thank you for your videos!!! Its really helping me, I am a part time engineering student.. This really helps me understand maths much better

    • @StarfishMaths
      @StarfishMaths  5 лет назад +3

      Thank you Nathan, glad it helped! Best wishes

  • @ijeomaakubueze7945
    @ijeomaakubueze7945 Год назад

    Thanks so much
    This is the first time I understood differentiation

  • @sven6345
    @sven6345 Год назад

    This is the clearest explanation I've ever heard

  • @Batmannotbrucewayne
    @Batmannotbrucewayne 2 года назад +12

    For the last 3 hours, i've been going crazy over the last one on 5:30, i used a diff method to simplify the equation (i used a-b/c = a/c - b/c) and managed to get the one before that correct, and half the last one correct, yet i always got 2x^-3/2 as 2x^5/2 , as i subtracted the power 3 from the power half in the denominator.

    • @unlink2918
      @unlink2918 2 года назад +1

      same

    • @shaaly4072
      @shaaly4072 2 года назад +1

      Omg same😭😭😭

    • @a-stocktrading2062
      @a-stocktrading2062 2 года назад +1

      me too dawg

    • @sirhoney
      @sirhoney 2 года назад +8

      she did mistake. thats the correct answer
      I got same too. Keep it up bud

  • @skywalker9441
    @skywalker9441 3 года назад +8

    I would kill for your handwriting 🤩

  • @vivekdeshmukh7509
    @vivekdeshmukh7509 5 лет назад +1

    Great video. Very helpful 😊 thank you

  • @spicytaco5975
    @spicytaco5975 3 года назад +1

    quite literally got my answer in less than quarter of the vid. thanks!

  • @sergmonu
    @sergmonu 2 года назад +4

    you really just explained in 11 minutes what I've been learning in school for 5 weeks, Thank You so much for this.

  • @buyersguide-ECOM
    @buyersguide-ECOM 7 лет назад +354

    at 5:43 u have done the last equation wrong (helpful but that mistake can misguide some people)

    • @StarfishMaths
      @StarfishMaths  7 лет назад +217

      Hi Hasham, you're quite right - good spot. The powers should be added, so 2x^3 times out the bracket with x^-1/2 will give 2x^5/2 rather than 2x^-3/2. Hope that's clear.

    • @buyersguide-ECOM
      @buyersguide-ECOM 7 лет назад +63

      Appreciate your reply
      and thanks for taking that problem in notice.

    • @maialh3501
      @maialh3501 6 лет назад +55

      omggggg I was so confused!!!!!

    • @raphaeldivine9767
      @raphaeldivine9767 6 лет назад +14

      I was about saying the same thing....the video was however helpful!

    • @ayodeleapata6174
      @ayodeleapata6174 5 лет назад +15

      For a moment, I thought my elementary arithmetic was to be questioned. I was right after all. Great job!

  • @raksraw8213
    @raksraw8213 Год назад

    Such a wonderful detailed explanation!Loved it anyway ❤

  • @crysiskingdom8494
    @crysiskingdom8494 3 года назад +2

    It's amazing video to know how are you doing diffentiation

  • @abhijitmetla950
    @abhijitmetla950 5 лет назад +4

    Very nicely and easily explained. Thanks ma'am.

  • @mk007__
    @mk007__ 5 лет назад +4

    super helpful, i learned differentiation weeks ahead of my class and i love it

  • @juliagitau53
    @juliagitau53 Год назад +1

    Wow its so easy.loving the explanation

  • @SamuelOladimeji-kx5od
    @SamuelOladimeji-kx5od Год назад

    This is very lovely, an awesome class on Differentiation!!! Thanks so much.

  • @amirahs9901
    @amirahs9901 4 года назад +3

    Really helpful!!

  • @Infi3696
    @Infi3696 5 лет назад +71

    How is 3-(1/2)=(-3/2 )?

    • @bullymaguire431
      @bullymaguire431 5 лет назад +30

      It's 5/2

    • @guyyk0534
      @guyyk0534 3 года назад +18

      Actually, the derivative for that part is :
      5(x^3/2) + 2(x^-3/2)
      Plz correct me if I'm wrong 🙂

    • @shortvideochannellkhan4958
      @shortvideochannellkhan4958 3 года назад +4

      @Bliss Inc how is possible -3\2 please explain me

    • @user-wf8bo5rl5b
      @user-wf8bo5rl5b 11 месяцев назад +1

    • @jessc7222
      @jessc7222 9 месяцев назад +1

      ​@@bullymaguire431thanks!

  • @tanushreesawant780
    @tanushreesawant780 3 года назад

    Great video!!!! Loved the way of teaching!

  • @adamemerson5267
    @adamemerson5267 2 года назад

    Found this hidden gem in the ocean. Love it...

  • @SuperBeliebers17
    @SuperBeliebers17 5 лет назад +3

    Thank you so much for this!

  • @leiiana9468
    @leiiana9468 5 лет назад +4

    Helpful to me thank you❤

  • @thenamesderrick5708
    @thenamesderrick5708 2 года назад +2

    i'm watching this in 2021 and i'm loving this.thank you so much

  • @ayahseveryday7353
    @ayahseveryday7353 6 месяцев назад +1

    thank you the title is very straight forward and the video too
    (new subscriber)

  • @klickeditors
    @klickeditors 5 лет назад +3

    thanks mam
    now i understand easily
    love from india

  • @WiseKingGodson
    @WiseKingGodson 3 года назад +3

    thanks so much , i was really suffering at differenciation but after watching this video, i was able to solve almost every question i see

  • @nipu9970
    @nipu9970 4 года назад +1

    Very Helpful... Thank you so much

  • @faroukahmad6841
    @faroukahmad6841 Год назад

    Because of this short but explanatory video
    I understand differentiation
    Thanks 🙏❤️

  • @kiramasiasomua7078
    @kiramasiasomua7078 5 лет назад +5

    Thank you so much, this is actually so helpful!!!

  • @ziadelnoweam1071
    @ziadelnoweam1071 5 лет назад +4

    Keep doing these IGCSE math classes , Thank uu

  • @user-hp6ls8qy6d
    @user-hp6ls8qy6d Год назад

    Brilliant explanation. Looking forward to seeing the one on integration.☺️

  • @charithajayasooriya4899
    @charithajayasooriya4899 4 года назад

    grate explanation for quick refresh.. thank you

  • @higgsbosonberg4316
    @higgsbosonberg4316 Год назад +6

    Ok I'm confused on the last problem (of the first 6 you gave). When you distribute the x^(-1/2) across the 2x³-4, wouldn't you add the exponents (-1/2+3) to get 2x^(5/2) for your first term? Or does the adding exponents rule not apply with fractions?

  • @mathwithnour9780
    @mathwithnour9780 5 лет назад +4

    This what I was looking for, thanks 🙏
    هالفديو منوع عدة مواضيع مطرق الهة مرسي

  • @hendrickskatooka1145
    @hendrickskatooka1145 2 года назад

    Very helpful with my beginning, thumbs up!

  • @ShreyoseePoddar
    @ShreyoseePoddar Месяц назад

    Thank you, it was a great video on differentiation. It really helped me out a lot.

  • @underrated6132
    @underrated6132 Год назад +3

    at 5:48 in that last question don't you think in second step is wrong there should be 5/2 instead of -3/2 you multiplied the powers instead of adding them............

  • @aasthasingh8996
    @aasthasingh8996 5 лет назад +3

    Thank you sooo much! I have an exam tomorrow and never got it till now!

    • @guyyk0534
      @guyyk0534 3 года назад +1

      How'd ya exam go ?
      *2 yrs later* :)

  • @growwithgladys
    @growwithgladys 4 года назад +1

    Like, this was sooo helpful. Thanks a lot!

  • @veenshraghavendra355
    @veenshraghavendra355 3 года назад

    Thank You For Your Guidelines 😊