What is Differentiation and How Does it Work? | Calculus | GCSE Further Maths | A-Level Maths Series

A video explaining what differentiation is and how it works. (GCSE Further Maths & A-Level Only).
This video is part of the Calculus module in GCSE Further Maths & A-Level maths, see my other videos below to continue with the series.
👑 Everything you Need to Pass your AS Pure Maths Exam! A* | AS Pure Maths Revision | Edexcel AQA & OCR - • Everything You Need to...
Don’t forget to check these videos out first:
Velocity-Time Graphs - Area Under a Curve & Gradient of a Curve | Grade 9 Series | GCSE Maths Tutor • Velocity-Time Graphs -...
Equations of Tangents to Circles (Grade 9) | Part 4 | Grade 9 Maths Series | GCSE Maths Tutor • Equations of Tangents ...
Calculus Series:
Part 1 - What is Differentiation and How Does it Work? - • What is Differentiatio...
Part 2 - An Introduction to Differentiation - • An Introduction to Dif...
Part 3 - An Introduction to Integration - • An Introduction to Int...
Part 4 - Differentiation from First Principles - • Differentiation from F...
Part 5 -
These are the AS and A Level Pure Mathematics Textbooks & Workbooks I recommend 💎
Pearson Pure Mathematics Year 1/AS Textbook - amzn.to/2wHvNQN
Pearson Pure Mathematics Year 1/AS Workbook - amzn.to/3acHufK
Pearson Pure Mathematics Year 2 Textbook - amzn.to/2K9qJrm
Pearson Pure Mathematics Year 2 Workbook - amzn.to/2RIaZQe
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[@TheGCSEMathsTutor]

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[@TheGCSEMathsTutor]

👑 Everything you Need to Pass your AS Pure Maths Exam! A* | AS Pure Maths Revision | Edexcel AQA & OCR - kzbin.info/www/bejne/i5quh3Wpna6CrJY

[@thomasbrooks930]

Can you do A level Further maths after this series? That would be really helpful, as I’m doing A level maths and A level further maths. Your videos are really helpful, thank you!

[@TheGCSEMathsTutor]

Thomas Brooks I will see what I can do! I am currently swamped with GCSE and a-level videos but I will do my best! 😁🙏🏼

[@thomasbrooks930]

The GCSE Maths Tutor Thank You!

[@Senyorita2030]

You used incorrect notation for x1, y1 etc in the formula. 1s and 2s should be SUBscripts, not superscripts. It seems like a subtle thing but students tend to get confused by this A LOT as they think it's x squared and not merely x_2 (I teach at uni and see this on a daily basis).

[@SummerFrost23]

They liked to created their own "confusing symbols"

[@rayraro5168]

I find it amazing that some guy in the 1600s came up with this ,

[@gkinlen]

Thanks for detailed explantion of why differention works.

[@TheGCSEMathsTutor]

Thank you so much I’m so glad that it’s been helpful 😁🙏🏼🙏🏼

[@sahilaziz2207]

Will you start in order a level maths content using a checklist? It would be much appreciated if you could start since GCSES are basically over so we could start a levels.

[@TheGCSEMathsTutor]

Johny Boy I am starting with Algebra and calculus and I will be prioritising the topics that are also on the GCSE further maths curriculum but I will put a checklist together for you all too 😁🙏🏼

[@MohammedHussain-vd2kd]

Hello sir I'm in yr10 and I'm targeted a 3 and I was improving till.corona virus sir do you think if I watch all this videos it can be helpful by my gscee

[@TheGCSEMathsTutor]

Mohammed Hussain This is an a-level video but check out the GCSE videos and yes they should be very helpful, particularly with all the time away from school! 😁🙏🏼

[@MohammedHussain-vd2kd]

@@TheGCSEMathsTutor thank you sir😌

[@muzamilyasin8360]

Did you improve?

[@lordpengz16]

@@muzamilyasin8360 I think he did 💀

[@realfaw]

@@lordpengz16 i guess we'll never know

[@ac9174]

is this for regular maths a level too? not further

[@TheGCSEMathsTutor]

ACP this is regular maths a-level yes 😁🙏🏼

[@GCSEALevelMaths2025]

Great video sir well done on a level pure maths!!

[@bobsham9136]

Is a-level a lot harder than gcse content?

[@TheGCSEMathsTutor]

Bob Sham It’s certainly harder! Depends how much you enjoy learning it 😁🙏🏼

[@112k...]

Ar you going to finish gcse curriculum ?🧐🧐🧐🧐🧐🧐🧐

[@TheGCSEMathsTutor]

Tarti 05 Absolutely 😁🙏🏼

[@ardagulal9882]

Why did you drag the coordinate down to the other coordinate? If you could help please it would be much appreciated.

[@lekdsz]

We are finding the tangent of a point - so we make change in x 0 so it maps the other point onto the original point - this isnt possible as we cannot divide by 0 but we get as close as possible till the change in x is negligable

[@ardagulal9882]

Is it possible for this to this type of proving to come up on an exam paper?

[@TheGCSEMathsTutor]

Arda Gulal It comes up under differentiation by first principles, I go over these questions here - kzbin.info/www/bejne/o6eqZpxmZ6iJfNU 😁🙏🏼

[@OladejoBukola-ze5gd]

nice experience

[@duk2k]

Why delta y can't be 0 but delta x can?

[@lolllhello7718]

No more gcse now? 😥

[@TheGCSEMathsTutor]

Lolll Hello Plenty more GCSE videos coming!! 😁🙏🏼

[@lolllhello7718]

The GCSE Maths Tutor Yay I panicked 😅 these a levels will be good too as I am planning to do a level math but I’m not even in year 10 or 11 yet so 😂

[@S123-x5b]

@@lolllhello7718 Take it easy

[@112k...]

Second comment

[@sen-ni8ri]

why do we imagine that the change in x would be 0?