All of Differentiation in 30 Minutes!! | Chapter 12 | A Level Pure Maths

[@TheGCSEMathsTutor]

👑 Everything you Need to Pass your AS Pure Maths Exam! A* | AS Pure Maths Revision | Edexcel AQA & OCR - kzbin.info/www/bejne/i5quh3Wpna6CrJY If anyone would like to support the channel you can become a member here: kzbin.info/door/StPzCGyt5tlwdpDXffobxAjoin or buy me a coffee here: www.buymeacoffee.com/gcsemathstutor Thank you for all of your support! 😁🙏🏼 New Discord Link: discord.gg/nRMtgr5AWA 👑

[@mideesuruoso7305]

Thank you so much this amazing! You helped me get through my GCSE’s and now my Alevels, I can’t begin to explain how grateful I am for your channel 😊❤️

[@TheGCSEMathsTutor]

So glad to hear that! Amazing news and I’m really happy the channel has helped you! Looking forward to your a level journey 😁🙏🏼

[@krispd2877]

30:41 why do you put 0.9825 instead of 90.8295

[@halrust-deye526]

think it was a mistake

[@sreenathbondilli8402]

was thinking the same ngl

[@stanfordtonderaichikowore9824]

I had the same question as well

[@ellianakyriacou2701]

must be a mistake

[@alexfox5445]

came to the comments section to find this out

[@Melonsnez]

Sir you literally saved my life, my teacher was so fast at explaining this i couldnt understand, but now i do, thx!

[@Emily-nb9fu]

I don’t even have 30mins😭😭

[@t.s.5511]

i sped it up

[@TopG20073]

Rip

[@hugoo5011]

That's what 4X speed is for

[@Kingda2_]

Fr

[@aarijrizwan5780]

Yet you still found the time to write this comment 😂

[@HabibaKhan-e6o]

im a homeschooled a-level student and am supposed to be half way through differentiation but thanks to your video i've learnt all the concepts of it :). Imma go into class knowing everything lol 😅 but thanks for helping.

[@majin-q]

At 30:3, where did the 0.9825 come from? Because you said that the answer from part a)i) was 90.82951062 and I got that answer as well, so I'm really confused 😵‍💫

[@mazharali855]

Init I am so confused

[@pyroflame5414]

Must’ve made a mistake

[@teacupcakes2739]

i was confused too. but in the end it doesn't matter cuz its still >0

[@vegsamosa]

Thank god someone asked ahah

[@Arda-kf8nd]

Same bro I was baffed

[@rory_john14]

Thank you for this! This really helped me with my modelling homework.

[@bot6797]

I just watched this whole thing without knowing what the guy was talking about cause I thought this was revision for my mocks (I'm in year 11)

[@pratyasha279]

Kudos to u sir for my A** in Maths! Taking it forward and equally as useful now at A-level :))

[@Zero-pb4gw]

At 30:34 where did you get 0.9825 from?

[@ToTheKitchen]

It was a typo, he meant 90.8295..., the v value we had previously calculated

[@augustineshako1540]

I'm not from England but I'm doing as level and these examples seem too easy, and its the same for most your A level videos, can you please do more challenging questions. Your videos got me an A for GCSE but since questions vary a lot in terms of difficulty on as level can you please do more difficult examples.(CIE exam btw)

[@32ec82]

exactly what i’m thinking

[@chrismansour5191]

Im having the same exact problem

[@artemisa1379]

he's trying to teach us the method so that you can then apply them to harder ques yourself

[@H3rx]

I agree, but even the textbook questions are easy and I think he uses thoses for examples.

[@kenrock6136]

bro just use past paper questions. And if you have a problem just go on youtube and search the same paper and question. Do this again and again until you master it

[@PKampus]

30:42 you accidentally put 0.9825 it should be 90.8 as that’s the value of V

[@petercarney1563]

and 9825^3 = approx 750,000 so 3000/750000 = 3/750= 1/250 = 0.004 not 0.04. What have i done wrong? Still greater than 0!

[@CloudBoiOfficial]

@@petercarney1563 its 98.25^3 and answer is 0.003...

[@globalrayman2275]

That’s what I was thinking too

[@frierenpout]

yeah saw that@@CloudBoiOfficial

[@abdullahkhurram5035]

00:03 Differentiation involves finding the gradient of a point on a curve 04:01 The formula for calculating the derivative is f(x + h) - f(x) / h. 07:54 The equation is derived and differentiated to find the gradient of the normal. 11:44 Differentiate the function and find the intervals where it is increasing 16:16 Differentiate and differentiate again to find second differentials 20:15 The second derivative was less than zero at x=1, indicating a local maximum point, and greater than zero at x=4, indicating a local minimum point. 24:16 The minimum speed for the journey is approximately 90.8 kilometers per hour. 28:25 The minimum cost of the journey is 93 pounds and 3 pence. Crafted by Merlin AI.

[@coffeeeeaddict]

GODSEND MAN 🔥you’re an incredible help thank you so much 🙌 these are made so well 🐐

[@teztinstudios7064]

just in time for my exams!!! tysm

[@TheGCSEMathsTutor]

So glad to hear it! Best of luck 😁🙏🏼

[@R4qayyah]

Im using this for gcse fm and its so helpful, thank you for these videos

[@GCSEALevelMaths2025]

Great video sir happy new year for 2022!! Congratulations on surpassing 70k subscribers!!

[@ukulow]

The sketch is incorrect at 15 minutes in. It has an x^3 term, you have drawn a graph of x^2. The answer is still correct though, just that the gradient is positive in those regions, which it is not in the graph you have drawn. But thank you for the content, your explanations are really clear!

[@QuaternionPhysics1]

Whooo, the calculus videos are out!!

[@TheGCSEMathsTutor]

Finally!! 🥳🥳🥳

[@fatimanori6413]

Hi Sir, Thank you so much for all these videos, they are very beneficial! I have a question about the modelling with the differentiation problem. At 31:09 I was confused about the 0.9825, where is it from (I substituted 90.8 and got a local minimum cost as well, however, didn't get the exact answer as yours- I got 0.004 - am kind of confused)?

[@lindzy2237]

Same here 30:28 How did v from part a) which was 90.8295 become 0.9825?

[@emman714]

he wrote that on accident i assume

[@ahhdimentia]

Same I’m confused

[@calmingarts2932]

Thank you so much. I found this video to be really helpful and to be easy to understand.

[@salmana8821]

Hi Sir, I just wanted to ask that when you have completely uploaded AS pure, are you also going to upload A2 pure Mathematics.

[@Truth_above_everything]

The backround music in your videos is really nice and relaxing haha

[@mufwazimba9361]

Error on part (b)

[@alijawad6729]

Thank u for getting me a 9 in gcse maths

[@stanfordtonderaichikowore9824]

This is amazing explanations , I love it

[@SamerHammer]

much love brotha, you taught me well

[@jennifercalvin9441]

THANK YOU SO MUCH!!!

[@amanii5637]

Thank you so much. This was extremely helpful! :)

[@TheGCSEMathsTutor]

It’s no problem at all! Glad to hear the channel is useful, please do let me know how you get on! 😁🙏🏼

[@MunisaGaibnazarova]

thank you

[@taongandolo2332]

Mr, for the first question you attempted for finding the interval for which x is increasing was wrong because where x

[@footballeditor8784]

I have liked the video:)Keep it going

[@TheGCSEMathsTutor]

Thank you! Appreciate the support 😁🙏🏼

[@BobBob-uv9fq]

When we do b ,are we doing this because it’s movement ,ie change of speed ,? Would be worth mentioning,why second derivative briefly ,maybe

[@lucie2502]

thank you so much

[@gongured]

sir what about chain rule? i would really appreciate your reply.

[@r3ma1n36]

I love this man so much

[@TheGCSEMathsTutor]

So glad to hear I could help 😁🙏🏼

[@iamasweat30]

Wonderful

[@BobBob-uv9fq]

It’s genuinely pretty easy when you know technique ,at this level

[@maximushoe8913]

Hi I am curious how does the +6 after 24x on the right side get eliminated? Thanks. Or is it because left hand side we divide by 6 so we also +6 on right hand side be divided by 6? Then +6 should be 1 right instead of disappeared

[@jmoney-tucker0147]

Thanks, I love ❤️ maths

[@My-db8br]

15:18 should be x3 as if x=2 or x=3 then the gradient would be 0 and so the equation would not be increasing but constant instead.

[@Alkanoid512]

that's what I thought

[@cerises9386]

he’s not wrong. if tge question said strictly increasing, then he would be

[@vitaszernys2893]

14:40 the question asks for increasing so it can't be including 0 as that's stationary, correct? I just got confused because he wrote 'greater than or equal to' rather than 'greater than'

[@asadsyedali3841]

Is it necessary to write "greater than or equal to" or we can just write "greater than"

[@winniethepooh8766]

@@asadsyedali3841 if its increasing u just do greater than. if its equal to it would be a stationary point

[@namitgurlinka157]

last question last part u can use cruise control so it is possible

[@JoshuaMakuvise]

Yea the 0.9825 is making mi crazy

[@NaomieKalo]

at 30:32 can someone please explain why v was substituted as 0.9825

[@damilolaiyiola8021]

it was probably a mistake

[@ultimatetroll_yt]

Dang this is wayyyyy easier thsn people portray it to be 😂😂

[@remaain]

30:29 how do u get 3000/0.9825 where does the denominator come from can someone help im confused, isnt v 90.8

[@mrduck4623]

I tested it on the calculator he meant to write 90.8

[@sushruthravishankar2383]

At 30:33 I think you wrote v wrong. It should be 90.8295 and not 0.9825 ??

[@jonathanmarsh526]

I’ve seen various comments saying it was a mistake. I thought the same as you and was very confused

[@yujirohanma203]

@@jonathanmarsh526 yep, it's definitely a mistake

[@willswan8896]

Your voice is so clear and kinda sexy haha, no but seriously thank you for going slowly on these questions and getting right to the important steps and actually using relatable questions that I can revise with. Helped me a lot with my uni mechanical engineering course

[@TheGCSEMathsTutor]

Amazing I’m so glad you are enjoying the videos! Such an awesome course you are studying I hope you are enjoying it! Would love to hear how you are getting on with it! 😁🙏🏼

[@AkashdeepSingh-qi5gy]

at 30:20, why did you substitute 0.9082 instead of 90.8295

[@alexsibal9846]

Yeah I’m confused as well lmk is you found out

[@Khushdeep-m4h]

@@alexsibal9846 I think it was just an honest mistake

[@hayleycrowhurst3998]

is this also for edexcel ?

[@gloriapereira7856]

Hi! In 30.44 minutes, why did you not divide 3000 by 90.8295 cubed?

[@bagelboy69]

im confused too

[@lordpengz16]

11:55, why'd he write the y=mx+c equation like that?

[@moyzahmed4666]

Do you have a playlist of topics for A2 9709 topics.

[@skalam2123]

Hello teacher i have GCSE exam this year can you teach online if i pay

[@manasigrandhi4154]

Hello , when you were explaining first principles you talked about limits what do u mean exactly about that?

[@johnmaguire2185]

h gets smaller and smaller so the triangle used to estimate the gradient gets smaller. The estimate of the gradient gets better. As h gets as close to zero as you want it to. You can treat h as zero in the equation. The limit of h is zero.

[@narenjaikumar]

useful!!!

[@AA-wg8dl]

14:20 surely it can't be equal to because it's meant to increasing, requiring a gradient greater than 0

[@valourz1398]

how do you know you have to differentiate twice?

[@yousifomer-ss9hi]

for the last one why did you divide 90.8 by a thousand for part b

[@lucky8551]

Thank you, thank you! You saved my life haha

[@HussainMahmood-nh7tn]

why is it 0.9825 at the end ?

[@skerpy8145]

sir at 30:30, why did you use 0.9825 instead of 90.8295?

[@rubiksworld2170]

i think he made a mistake, it confused me at first too

[@s2_krysp1]

helps me through aqa lvl 2 further maths

[@TheGCSEMathsTutor]

So glad to hear it 😁🙏🏼

[@Hm_-lm7hw]

For the last question part b shouldn't the answer be 3000/90.8^3=0.004007..?

[@diya2480]

Thank you so much for this!!

[@BobBob-uv9fq]

Got to say ,”sorry I’m late I was watching a video on differetation “ boss, just does not cut the mustard (x axis at 4) 🏴󠁧󠁢󠁳󠁣󠁴󠁿🙋‍♂️

[@TheGCSEMathsTutor]

Haha I’ve never tried that one.. maybe I’ll try that someday 🤣🙏🏼🙏🏼

[@MegaBanannaman]

Hello, does anyone know what the full video of tangents and normals is titled on this channel?

[@brookeallen5112]

I found some of his videos useful for this, the playlist starts with a line equations video and explains how normals and tangents work throughout the playlist, 3/4 videos in the playlist.

[@Anonymous-j3j8b]

At 3: 35 what if you do x as 3, the 3 × 2 = 6 and thats wrong isnt it?

[@spr1ng21]

14:15 how do you know that the quadratic is greater than or equal to 0? why not just greater than??

[@doodlebob1898]

Can this be used for Alevel year 2

[@yujirohanma203]

No

[@doodlebob1898]

@@yujirohanma203 thanjks

[@yujirohanma203]

@@doodlebob1898 A2 calculus is used from A1 calculus, but has WAYY more content and problem solving skills. This video will barely be enough for A1 differentiation.

[@doodlebob1898]

@@yujirohanma203 thanks for helping

[@jem5917]

is this following the edexcel spec?

[@antisocialbarbie1587]

I think so same syllabus if you look at your book

[@harry011984]

With 5(x+h)2, how are you getting the +2xh?

[@BreezeGodson]

he expanded the bracket when you expand (x+h)(x+h) you get 2xh from multiplying x and h twice

[@studyingd5565]

10:00 how 4x power is (-3/2)

[@shubhamsomani1323]

Hi. You actually need very good indices skills for differentiation. Anyways, to answer your question, If u wanna shift x² to the top lets say it was 2/x² so that would become 2x^-2 right. Similarly, in this if u shift x² to top you would take away a power of -2. So, 1/2-2 = -3/2. Lemme know if it helps

[@AJ-hj8bb]

shouldn't it be 48 i keep getting 48 on my calculator

[@crazymemes2832]

7:44 didnot understand please do not skip any step mate !

[@ben8939]

My AS Maths starts in 40 minutes 😅

[@BobBob-uv9fq]

I actually laugh at the manipulative way maths works ,got to say very cool

[@TheGCSEMathsTutor]

It’s great isn’t it! 😁🙏🏼

[@dihanislam4380]

9:00 why is that -3/2? And not 3/2?

[@dakotameyer3903]

because he did 1/2 - 4/2 and not the other way around.

[@bigsmerdo]

7:09 why * the 5 by 2? i don't get what's happening here

[@ellasorchid]

formula for differentiation is x^n nx^n-1 so 5x^2, you times 2 and 5 then subtract one from the power , leaving 10x if that makes sense

[@theimmortal4641]

Sir, could you please do this topic at GCSE level, as my IGCSE syllabus (0580) includes this topic but I can't find any of your videos on it

[@yujirohanma203]

There is no GCSE differentiation, it's an A level topic. Idk about IGCSE tho

[@theimmortal4641]

Nah 0580 has it, but the questions aren't as difficult

[@JoshuaMakuvise]

❤

[@usamaliaqat3526]

Did you notice there was music playing in the intro.

[@ahmedelamin4371]

you made a mistake at 30:34

[@harry4901]

lord have mercy i hope this saves me

[@bbjj52]

anyone else watching at midnight the night before gcses

[@antisocialbarbie1587]

Can I know the reason behind how x is less than 2 and greater than 3 cause nobody explains me that

[@taiyab.0581]

12:45 is this answer in this form correct -x/7 + 48/7= y

[@bleepbloop311]

im so gonna fail 😭

[@ellasorchid]

how did it go? :)

[@falaksher9612]

😂

[@BatSoup67]

Im literally just bored rn i dont even do maths

[@priscaonyango9800]

sa tuingie hio teo

[@McFlashh]

Bro why the click bait title? This is AS not A Level maths. All for the views you brokie

[@eliasbrewn]

The thumbnail says all of AS level differentiation…

[@McFlashh]

@@eliasbrewn The KZbin algorithm reads the title not the thumbnail…