Calculus - Lesson 5 | What are Functions? | Don't Memorise

🎯NEET 2024 Paper Solutions with NEET Answer Key: • NEET Answer Key 2024 |...
📅🆓NEET Rank & College Predictor 2024: infinitylearn.com/neet-rank-p... The concept of functions is one of the most important ideas in Mathematics as it plays a central role in Calculus.
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In this video, we will learn:
0:00 what are functions?
0:59 how do functions work in Calculus?
1:16 average speed
2:31 distance & time relation
4:25 mathematical representation of a function
5:25 function - relation between two variables
7:26 types of variables
8:36 denotation of function & variables
9:29 differentiation
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#Calculus #Integration #Function #neet2024 #infinityLearnNEET #neetsyllabus #neet2025

[@InfinityLearn_NEET]

#DidYouKnow: Credit card companies use calculus to set the minimum payments due on credit card statements at the exact time the statement is processed by considering multiple variables such as changing interest rates and a fluctuating available balance. ✅To learn more about Calculus, enroll in our full course now:infinitylearn.com/cbse-fullcourse?KZbin&DME&ZRSWfbZaG9g To watch more videos related to Calculus, click here: bit.ly/CalculusBasics

[@kushagra5796]

0:56 1. the angle on which the plane is inclined to the horizontal. 2.The medium b/w plant & sun

[@abhishekpawar4213]

Parabola equation is used 🔥

[@abhishekpawar4213]

parabola equation is used

[@normie8365]

@Valentino Imran you bots...don't make people fool

[@dailyvlogwithtanusree2634]

The distance between the source of light and the plant.

[@lesussie2237]

your explanations are so detailed, a person knowing almost nothing of math could understand

[@shankCR7]

Yea like me

[@prajaswadekar3157]

Yup

[@reyhanashik2123]

Very true

[@ishwarthakre2359]

Yeah

[@soumyas.tripathi5534]

yes, I study in 8th grade and I'm literally understanding each and every concept of calculus. Thank you and loads of Respect from USA! :)

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[@Alamin-ge6ck]

Me too.

[@NIKA-uz6nf]

well u rnt the only unlucky if it makes u feel better...... ._.

[@adityayadav3532]

Because we were taught by fools in schools.

[@kgvlogs1977]

Amazing video quality Amazing sound quality Amazing technology of video to make understand your learner by interesting Pictures Amazing voice with quality pronunciation Amazing pedagogy, techniques & selection of examples to make understand your learners You & your channel is amazing.

[@ravenousturtle8498]

0:54, there's another factor and that the ground on which the plants rest on, i.e if it's tilted or not.

[@phenomenalphysics3548]

and the shape the ground is in

[@klmstudycircle8684]

Yeah I was thinking same only.

[@giovannip8600]

And whether the object itself is at an angle

[@_masteryogita4256]

Exactly the same

[@arindam1388]

Yes...the angle of the plant..

[@hygenz26]

Big thanks for the team who made this videos. Now I understand why the l'hopital rule is used for finding the derivative. Before I watched this video I just "memorize" the l'hopital formula. Once again, THANK YOU!

[@InfinityLearn_NEET]

You're welcome, Amir. Happy Learning :)

[@nootherkyle]

Her voice is so soothing... Like a computer generated never high never low.

[@randomthings8376]

may be there's a software that limits the never high and never low voice

[@Raja__moomin]

@@randomthings8376 yes there real admin us a grown up its an auto tune VOICE

[@AsadZamanVagabond]

That's a problem too sometimes

[@shaphabikeisham8420]

The teaching is so smooth and easily understable. Even my younger brother got the concepts.

[@JaydentheMathGuy]

Nice, good job keep up the work. Could you make more Calculus vids? This got me through a semester. KEEP UP THE GREAT WORK!

[@sibalogh]

Sounds like she's a very good teacher... This is the way to explain things by breaking them down to bits and show how they made up! Most tutors use this formula y(x) without even telling why x is in brackets or time (t) is squared. I do not like teaching something on a superficial level and expecting people to figure them out or know them b4 hand...

[@Form_Evolve_Invent_India]

Ans: 1. The Torch's Projection area will be a function of, the distance between the Torch face to the wall. 2. Similarly the coverage volume of the dish antenna will be a function of area and curvature of dish antenna

[@riddhimaranjan2753]

P ( d) = d², c (a, c) = ac² right? The values are randomly put but is the format correct?

[@shivangishivangi4267]

​​@@riddhimaranjan2753First one is correct but I am not sure about the second one😥. Maybe if you make two equations and then join them ,then that will make sense. If you get the correct answer then please share it here.

[@shivangishivangi4267]

@Form_Evolve_Invent_India Thanks for the explanation

[@shivangishivangi4267]

​​@@riddhimaranjan2753 it can be c(v)=(a.c)² Cause it's a volume and magnitude of area is L² and that of curvature (distance) is L. By multiplying those will give you the vol.

[@alisher4308]

0:54 length of shadow in this case also depends upon the angle between earth and the length of plant

[@sobitabharthi3572]

I love how this channel explains simple concepts for 2 hours but brushed over the actual sum in 2 minutes

[@dhruvgarg4175]

11:09 it can be used to know how much area a torch covers in the time after which it is switched on (intensity of light)

[@pakistanzindabad-xg2rw]

butt this function is only for freely falling object is it also for the speed of the torch light

[@randomthings8376]

lights speed is constant

[@sameerforyouh]

@@randomthings8376 it's about area covered by light wrt to time it's not about distance travelled by light wrt to time

[@manojkumargangula9463]

Amazing! I hope you will continue to teach FREE! THANK U VERY MUCH!

[@supergaming-tp6pz]

Please make a videos for probability you are amazing

[@InfinityLearn_NEET]

Hi Asfak, we have a few videos on probability here: dontmemorise.com/course/view.php?id=33 Happy Learning. :)

[@nirupamam2814]

I have seen all of your videos..Your language, accent and teaching method is amazing..You are great

[@Indie_Traveller]

It's really in all ways helpful. The more the details the merrier the calculus.

[@archprep131]

0:54 Angle between the plant and ground

[@aradhyakaranje7376]

your videos are so amazing..... best youtube channel ever i have shared this video to all my friends now they'll also know wha calculus is.. better than most of the institutes

[@pranavbhadane5537]

Yes.....the area of flash lights or dish's square will affect intensity of light and em waves

[@Legend-fs7mx]

Would u pls elaborate

[@vidyadevi2589]

I also believe

[@roopaulakh3098]

Oooohhh

[@UnrealogyTutorials]

I am literally 12 and studying calculus thanks to you as you made it that simple that a 7th grader like me can understand!

[@addictaedot7]

Which country?

[@shilajeetkanungo5907]

I am also 7th grade student

[@ArshDhirAD]

@@shilajeetkanungo5907 me 9th grade student

[@poojasrivastava1159]

This course is like a crash course, very less things are covered here, I am in 6th grade the better way to understand it is books, read Differential Calculus for beginners by Joseph Edwards and Integral Calculus for beginners by Joseph Edwards

[@UnrealogyTutorials]

@@poojasrivastava1159 yeah. I watched 3blue1brown's vids. He covers it in more detail with excellent animation

[@Suman-zp8gs]

Amazing!👌 Great tutorial!

[@abhisheksakhare1986]

I just want to say wow! What amazing video you made.its the world class education.

[@rando9204]

OMG, thanks a lot I am hardly 13 but I have made it this far, Thanks to your great explanations I can't believe at such a young age I can understand soooo advanced stuff Thanks a lot ps: I will be a lot ahead of my colleagues in calculus when I grow older

[@InfinityLearn_NEET]

Thank you so much Hetansh for your appreciation. We are glad that you understood the concept. We are happy that we could help you learn. You motivate us to do better. We love our Pi Army and would like to stay connected. 😊😊🤗🤗

[@Rishabh_Raj.]

Hey kid this is no advance stuff. It is the most basic. But it's good thar you are doing it at 13.

[@itachi_uchiwa106]

@@Rishabh_Raj. this is basic???? :")))))

[@sahanlakshitha8453]

Don't have words to thank you. I never seen anyone teaching calculus like this. ❤️❤️

[@lokiclarke]

i keep thinking to myself when is it going to get harder, but the truth is you explain it so well i dont notice how much i've coverd

[@bathiangsurong610]

I like it very much, now i can relate the concept of calculus with a day to day life activity. I am a Maths student I need to learn more and more about this branch of Mathematics

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Awesome explanations of concepts.

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its really helpful. keep making such videos to help other students

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HUGE RESPECT AND THANK YOU!✌✨😊

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I'm loving it!

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[@SuchetaGhosh-dj8li]

Wow. Very nice explanation.

[@amishakoner8311]

The Torch's Projection area will be a function of the distance between the torch face to the wall and also the coverage volume of the dish antenna will be a function of area and curvature of dish antenna

[@gopikasivakumar9666]

Oh my god you guys are so awesome! I was wasting the lockdown time until I knew about your channel. And pls make videos explaining biology too..

[@devanshverma9024]

Thankyou easy calculus explanation

[@theb4stguy332]

Wonderful!

[@Pratyus_C]

0:58 Maybe the properties of the surface on which the shadow is formed... and...your explanation out of the world !!😍😍😍

[@saumitragautam8333]

Great video.

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Your teaching skills are nice 🙂 . I can understand your videos

[@VISK12]

The explanation is really good

[@Zeeshan_Ali_Soomro]

Brilliant explaination ! Our government must hire these kind of teachers in our schools

[@InfinityLearn_NEET]

Hey Zeeshan, thanks a lot!! Your appreciation means a lot us ! Keep watching 🙂🙂

[@abhimanyubhadauriya]

Love 😍 the explanation ☺️

[@hemsingh6785]

You are amazing i know how to solve calculus but i never know how does it actually works and you made it clear to me thanks a lot ❤

[@medicosilvergamingyt6429]

I understand easily thank you

[@mayurimondal2016]

Make more videos about calculus because I am very keen to know about it

[@saumitragautam8333]

Love it.

[@AniketKumar-rw1le]

0: 36 It also depends on the angle between the object and the screen on which the shadow is formed. Also, if we look more deeply we will find it also depends on the wavelength of light with respect to the object's size, right?

[@ayshaazath4240]

Thank you so much .

[@Cherry_manu_allinone]

Superb explanation 👏

[@anshikasanju9756]

Your channel is best to understand concepts.

[@InfinityLearn_NEET]

Thanks Anshika for your appreciation. We are glad that you understood the concept. For more videos, please visit our website - dontmemorise.com/

[@marcusaureliusregulus2833]

Angle of the floor also influences the length of the shadow

[@TechToppers]

You are really great

[@dhananjoydas6887]

Wonderful... From Bangladesh

[@mdhussain9458]

Beautiful explanation.😢😢😢 Remove many doubts from my mind.🤔🤔🤔 I love your voice mam.🥰🥰🥰 Thank you!😭😭😭

[@shreerangakv7183]

Big thanks to your efforts

[@InfinityLearn_NEET]

Thanks a lot for appreciating our efforts, Shreeranga! Thanks and keep watching 🙂🙂

[@tutorialphysics387]

Great 👌

[@7thclasstopper952]

Yes torch and setalite related to y(x)=kx^2 because ,if we put k=π and x=radius then it will be area of circle

[@rajeshsomasundaram7299]

So, as per my understanding.. If we have a function f(x), then f`(x) would give us the output of the function at a given limits?? Am I right? Please correct me if I am wrong.

[@dhj_k_nk]

formation of shadow depends on : "angle that the plant makes with the groung along the direction of sun rays"

[@mhilal82]

that thing is described in position of the sun

[@anujingoot3948]

thank you so much! for great content

[@InfinityLearn_NEET]

You're most welcome. We are glad that you understood the concept. We are happy that we could help you learn. For more videos, please visit our website - dontmemorise.com/

[@aalaa4146]

Amazing ✨️✨️

[@sandyrcb1637]

Your way of explaining is fabulous , please do make video on what is rate of change I have asked earlier also to make video on rate of change please please it would be great help please

[@sureshkannan6313]

Amazing work team....👌👌👌🤝🤝🤝

[@Shashank-777]

Nice teaching

[@hayaafareen1022]

Speed of light has the same relation with energy where E is dependent variable while c is the independent constant. E=mc^2

[@mohghz1840]

I think the other input that would change the length of the plant’s shadow is the angle that it is inclined along the surface of the ground and also ( how flat and smooth is the ground that the shadow lies on)

[@MohammedAhmed-cj9kl]

Nice comment🌚

[@mohitoshdeb6579]

hey ma'am, you're awesome ❤️

[@DIYwithRasmin]

👍 nice tq

[@fjonnechaboye8979]

excellent

[@shaileshkumar-sw9ug]

0:54 There is one more factor "the angle of the tree to the ground"

[@awaansiddiqui8215]

that can be determined by the position of source light ig

[@singhsrishty346]

Its awesome please make a complete videos on bachelor level maths please all three books

[@theordinarychannel5769]

you are making my life easy 😘 thank you team Don’t Memorize ❤️😇

[@InfinityLearn_NEET]

You're most welcome. We are glad that you understood the concept. We are happy that we could help you learn. You motivate us to do better. Keep watching our videos. 😊😊

[@rockbore]

Another function of shadow length could be the tilt of the surface where on the shadow falls, assuming the surface had a veriable tilt facility.

[@safreelearning]

In a laser light, light is dependent on the charging of laser light. Similarly signals of dish is dependent on its frequency etc.

[@coge4c556]

simply thankyou

[@jyotimakhija5402]

Is d=t^2 relation derived experimentally or arbitrarily chosen??

[@user-wt2dq5yt9h]

The brightness of light

[@blessoneasovarghese9834]

Length of the shadow is also dependent on the inclination of the plant from the vertical, towards or away from the light source.

[@thribhuvansai671]

the third factor depends on the the way the tree is inclined to ground . can I know by which software you are animating these videos beautifully?

[@golumandal4836]

They make these videos using many softwares , in 2014 they gave me a reply on this question...

[@divyanshdubey4735]

11:02 for torch I guess it would be the relation between intensity and distance, since by inverse-square law I ∝ 1/(d)^2, intensity(I) would be 'y', and there will be a constant to remove proportionality so it would be 'k' and 1/d^2 will be 'x' .

[@yourtube5220]

What is the value of constant according to Galileo for relation d= t^2

[@devarajcb9586]

Super fantastic

[@koustubhtiwari5736]

It is also Dependable on angle of plant in which it is standing 2nd the angle of ground as well

[@user-lw6wt1ow4e]

The length of the shadow is dependent on the shape of the plant.I mean, if the plant is very long and and its shape is bent. It matters. Am I right?

[@TejeswarReddy01]

Good job👍 Do videos on VECTORS

[@biswajitsamanta5449]

How y is dependent... If anyone has given the value of y then y is independent

[@xvgreen8586]

This chanel is insanely good, what that hell?

[@abhideshmukh992]

I think that the distance between flashlight nd its projection is the same relation as y equals kx2 nd the same fe dish satelight for catching signals Is my ans is correct ???

[@farhan2373]

ThAnk you mam

[@dysportsandgaming]

We can take the input as the root or change in position of the plant

[@akeeny2718]

3:30 I'm confused here. Why did she use (t+h) -t instead of 20+h -20?

[@gopushaji1927]

In case of a flashlight, the diameter of the projection and distance from source is dependent by this relation.. Also the concavity of dish is parabolic (y=x2 is the eqn of a parabola)

[@biology789]

In function shadow the angle of plant to the ground is also an Input. Also Some plants lean in response to light such as sunflower.

[@scammerpayback7955]

0:54 there ae many other factors on which shadow depends upon; • Reference frame of observation • Velocity of sun & plant, though they are at same angle.(if sun moves away with 0.5 c from plant which is also moving 0.5 c against direction of sun, then literally there will be no shadow) • Distance between sun & plant, keeping angle same. • Shape of plant • type of plant & Many more.....

[@dust_of_cosmos]

Wish my teachers taught calculus is this manner

[@fuad3756]

I am an 8th grader and now I am learning grade 12 maths. I said to myself I will never learn such thing but here I am.

[@InfinityLearn_NEET]

Thank you, Fuad! We are glad to know that you like our videos. keep watching! 🙂🙂

[@aaichan4008]

Same here bro, hey can you please say me what else sources are you using?

[@drarun1984]

1)Less light more visibility more light less visibility in context of torch functioning 2) rate of discharging of the cells in the torch results in rate of change of brightness in the torch.

[@samidhasinghbasnyat]

In 3:31 shouldn’t it be 2(20)+h square