Calculus- Lesson 8 | Derivative of a Function | Don't Memorise

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📅🆓NEET Rank & College Predictor 2024: infinitylearn.com/neet-rank-p... In this video, we will understand the limit process involved in finding the derivative of a function. For this we will find the derivative of a particular function. Watch this video to know the different aspects of the derivative of a function.
To learn more about Calculus, enroll in our full course now: infinitylearn.com/microcourse...
In this video, we will learn:
0:00 Introduction
0:55 Differentiation
2:40 Derivative of a function
7:29 derivative of absolute value or modulus function
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#Calculus #Derivatives #Integration #neet2024 #infinityLearnNEET #neetsyllabus #neet2025

[@InfinityLearn_NEET]

Derivatives are used to derive many equations in Physics. It is used to determine the speed or distance covered such as miles per hour, kilometre per hour etc. To learn more about Calculus, enrol in our full course now: bit.ly/CalculusBasics_DM To watch more videos related to Calculus, click here: bit.ly/CalculusBasics

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Course is not opening

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The link of the course isn't opening.please do check again.

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You are absolutely amazing. For the first time in my life I understood this concept and uses of derivatives. Thanks a lot. Keep it up

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[@InfinityLearn_NEET]

I'm glad to hear that. Please subscribe and press the bell icon to never miss a video: bit.ly/DontMemoriseKZbin Happy Learning :)

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[@timetostudywithme]

@@InfinityLearn_NEET Ma’am I had a doubt in the 2nd Video. Ma’am, the instantaneous speed should be root of 5 as if we go by that at 1/2 length, PE=KE. We can write it as 1/2mgh = 1/2mv^2 This implies that v= root of (GH) So ma’m if we approximate acceleration due to gravity to be 10 then ans = root of 5.

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[@georgetalixandroiu4603]

f(x)= abs x f'(x)=(f(x+h)=f(x))/h f'(x)=(abs (x+h)-abs x)/h which can be written ((abs x+abs h) -abs x)/h, so abs x and -abs x cancel each other lim h->0 (abs h)/h=(abs 0)-0=0 if x=0 the derivative is still 0

[@tomdexter5029]

Do you know the difference between division and subtraction and equal to?

[@mutualyc385]

As we know that dy/dx is referred to instantaneous rate of change of y with respect to x but in the case x = 0 it is not possible to find out the derivative because it does not exist due to absence of tangent line..... By the way loved your way of explanation and animation of this topic♥️

[@joyneelrocks]

Also if we analytically try to solve this, in the end, we get: f’(x) = lim(∆x -> 0) |∆x| ÷ ∆x Therefore: If x > 0 => f’(x) = 1 If x < 0 => f’(x) = -1 And, if x = 0 => f’(x) = Infinity

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I don't understand it fully. I am half confused

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Your talking speed is perfect for non native English listeners ❤️❤️...

[@crazyworld4758]

Very nice explanation in my college times both derivatives nd integration are very confusing topics please do more videos

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You are fabulous. Clear all the worng concept. Will you please make video on programming concepts

[@____r_c__]

I really appreciate with your channel awesome explanation with details and in very smooth way but i have one suggestion for you please can you make a video on PDE (Partial derivation) because in most engineering program are solved based on that and if you are doing about on that so it's very helpful for all engineering student so plz think on that way Thank you

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Loved the way it is explained 🙏🙏

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mam very superb. plz upload more such videos on calculus.

[@anshuman6243]

Thanks for explaining waiting for integration

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I have completed my engineering. Still this is a very much interesting to me.

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Upload next part please it really helpful

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Can't find this videos on your website. Waiting for next video.

[@rajapandian8987]

V shaped curve will fall for lxl and steep is always 1 for this function

[@rinkujain376]

No other teaching channel can explain so briefly about derivatives. I promise.

[@muhammed_ajwad]

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[@niceguy4801]

Thank you ma'am!

[@humanbeing2566]

nice explanation

[@UnrealogyTutorials]

I am 11 and I am learning calculus thanks to you! Despite being in 7th class, I understand all concepts! Thanks

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Excellent... Loved it....

[@InfinityLearn_NEET]

Glad you liked it and thanks for sharing. :) #dontmemorise

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Best way of teaching ever. What software is used to create such a beautifull animations ? If any one knows reply

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Id put my bet on Adobe Illustrator x Adobe After effects

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@@djkato-personal2242 same

[@chiraggarg9342]

Thankyou ❤

[@Krishnan172]

On seeing this, I have a thought and that is in real life scenarios like astronomy & others might be using 3 dimensional calculus, to find the instantenous speed, volume, etc of an object as 2D calculus will be of no use in real world. Am I thinking correct?

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In what app are you done this editing? Please tell me.

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hats off...... beautifull explanation

[@InfinityLearn_NEET]

Thanks a lot, Madhu! We are so glad you liked it. Keep watching 🙂🙂

[@aidataverse]

Awesome

[@shashisuryawanshi173]

No, we cannot find the derivative of y = |x| at x=0, since we can draw more than 1 tangent at x=0 to the graph of y = |x|, which would imply that function can have more than one slope at a particular point and thus the derivative is undefined.

[@antoniusdaivap7759]

The graph isnt even a slope its like a sharp v. But I dont know either

[@armstrongtixid6873]

It doesn't exist for the end thing? Because from the right hand side, if you imagine this as a graph, the slope as approaching x = 0, is 1, while from the left, it is -1? Just a guess. It's like a limit that is different from the - and + sides.

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Mam I'm in 6th grade and I'm also able to understand basic concepts of calculus. Because of your excellent explanation thanks for giving us this valuable contant for free ❤️❤️ again thank you ❤️❤️

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[@InfinityLearn_NEET]

Thank you very much for the appreciation and for watching Priti. :)

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what software do you use?

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Which class are you in because genrel relatativity is a very complicated theory and quantum physics is much more weirder than that. General relativity includes 4d, so it would be very complicated for this channel, on the other quantum mechanics is much more complicated than general relativity and according to me, you should learn it from other you tube channels, these topics are very complicated for this channel. I am currently in class 9 and it took me 2 years to fully understand relativity both genrel and special, when I was in class 6 I started studying it and it took me 2 years when I reached in class 8 I fully understood it from explanation to derivation. So don't feel I can't do it if it seem very complicated, I also took 2 years. AND SERIOUSLY MY FRIENDS THESE TOPICS ARE UNFIT FOR THIS CHANNEL

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[@soubhagyaghadai5359]

but when deltaX0 we get 2X ANS. final answer is right but formula wrong

[@princykajla2075]

okay. i have a question in the case that x1>delta x why is the distance x1+delta x? it should be x1-delta x. pleae reply

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I agree

[@sheetalsheetal2169]

Is it true in Modulus function if x

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Please please make a video on Higgs boson

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good video

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Does anyone know the answer to the question at the end of the video?

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Understood this for the first time...

[@armstrongtixid6873]

Thank you so much this is so helpful! Being in 7th grade, everywhere things are overcomplicated and forced to memorise. This has helped me so much!

[@InfinityLearn_NEET]

Thanks a lot, Neil! We are glad our video could help you out. Keep watching! 🙂🙂

[@InfinityLearn_NEET]

You're most welcome Neil. We are really happy to hear that it was helpful to you. We are glad that you understood the concept. We are happy that we could help you learn. Keep watching our videos : )

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U have calculus in 7th grade 😳😨 idk about it.

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What is y=x! differential?

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Do you find the square of a number to be abstract...?

[@samarthxo]

Thanks A Lot! :)

[@InfinityLearn_NEET]

You're welcome, Samarth! Happy Learning :)

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[@mohammadmaheboobali5615]

6:00

[@m.awaisjadoon2339]

Good job.....

[@InfinityLearn_NEET]

Thank you so much for your appreciation. We are glad that you understood the concept. You motivate us to do better. Keep watching our videos : )

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Very very good no the the the best.

[@InfinityLearn_NEET]

Thank you so much Arun for your appreciation. We are glad that you understood the concept. You motivate us to do better. Keep watching our videos. 😊😊

[@Smile-ey7nf]

Can you define a derivative ? Plz reply

[@roopaulakh3098]

Thanks a lot :-) great work (:

[@InfinityLearn_NEET]

You're most welcome and Thanks for your appreciation. We are glad that you understood the concept. You motivate us to do better. Keep watching our videos : )

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I really satisfied. I am very happy.

[@InfinityLearn_NEET]

😀

[@kvenkataraju]

Is Derivative of the Modulus X is 1? Am i correct?

[@rehanali6919]

Derivative at x=0 is 0 then f(x) has constant value and for costant value slope is 0.reply my answer plss.i like yr conceptual base thanks a lottttt👌👌

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Why ball follow a parabolic path when thrown

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ones a legend said learning is fun teachers:: don't even think of it don't memorise :: yes it is me:: *crying with happiness *

[@aniketroy3034]

How did f(x+∆x) change to (X+∆x)² ?

[@antoniusdaivap7759]

Because the function was (x)^2 when the x changed to x+dx it becomes (x+dx)^2

[@EngineeringTimes]

Great

[@InfinityLearn_NEET]

Happy Learning. :)

[@manonsinghchauhan3584]

Mam at 6:32 the of x

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Sprb

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Fastidious and gradually metamorphosis of sensory analysis with comprehensive graf co-ordinate system method

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🙌🙏🏻

[@4n0nym0u8]

Answering the last you asked the derivative at x=0, doesn't exist as the number from different cases doesn't match

[@habibaelhadad1000]

the derivative or differentiaion is the instantaneous rate of change and is the slope of the tangent of the curve

[@rishukumarsingh5562]

Make next video on calculus

[@vimalkumarmanivannan1968]

|x| is not differentiable at x=0 because average rate of change on left and right is not equal when x-->0

[@usama57926]

why there is 90 Degree angle in axis of graph and not other angle.....❓❓❓❓❓❓

[@shikharsrivastava7413]

Yes

[@adityaverma6980]

sir in this video it is been said at (1:40) that when ΔX

[@maniduudayanga1432]

Delta x close to 0

[@sivanesan1475]

When is the next video?

[@RaviSalunkhe85]

At 3:58 it should be 2x1 + delta x2 right?

[@SehrGutPeter]

No, x2 was never defined ...where would you get that from?

[@deputyrationingcontrollers6497]

Can you do the second part of magnification before 20th if this month Please please please please please please please please please please please !!!!!! I beg u 🙏🙏🙏

[@InfinityLearn_NEET]

Hi, There is no need to wait for Magnification! To view the entire course for free, visit our website here: dontmemorise.com/course/view.php?id=199 Happy Learning. :)

[@mintusaren895]

Big to small. Can be vice versa.

[@mathmasterrajendernahliaya5323]

Nice math

[@ranganathahr5393]

It uses numbers to to represent the function of 'x'.....

[@livingkingsize8052]

1:43 If Delta x is less than zero than it must be x not minus delta x on x axis instead of x not plus delta x. Correct me if I am wrong.

[@Unkown242]

i think, the delta will give the -x value for the side for x

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those who gives dislikes must be teachers from schools and other KZbinrs

[@moayadmoujahid638]

Where is the next lesson

[@alipervez8044]

Good

[@InfinityLearn_NEET]

Thank you so much Ali Pervez for your appreciation. We are glad that you understood the concept. Do support us by subscribing to our channel. 👍👍

[@alipervez8044]

@@InfinityLearn_NEET Ok

[@techtuts766]

Excuse me this is the formula = f(x° + ^x) - f(x°)/^x this give us 0 every time because first we add x° and then subtract it x° and then we have only the ^x/^x so this gives us 0 every time so please help me with it

[@mr.dragoji3149]

Hey, I don't know much about it but ^x/^x will give 1 and not 0