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Differentiation from First Principles | Calculus | A-Level Maths Series

The GCSE Maths Tutor

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A video explaining how to differentiate from first principles. (A-Level Only).

This video is part of the Calculus module in 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 Pass Your A Level M...

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 - Area Under a Curve ...

Calculus Series:

Part 1 - What is Differentiation and How Does it Work? - What is Differentiation and How Does it Wo...

Part 2 - An Introduction to Differentiation - An Introduction to Differentiation | Calcu...

Part 3 - An Introduction to Integration - An Introduction to Integration | Calculus ...

Part 4 - Differentiation from First Principles - Differentiation from First Principles | Ca...

Part 5 -

These are the AS and A Level Pure Mathematics Textbooks & Workbooks I recommend 💎

Pearson Pure Mathematics Year 1/AS Textbook - https://amzn.to/2wHvNQN

Pearson Pure Mathematics Year 1/AS Workbook - https://amzn.to/3acHufK

Pearson Pure Mathematics Year 2 Textbook - https://amzn.to/2K9qJrm

Pearson Pure Mathematics Year 2 Workbook - https://amzn.to/2RIaZQe

🔹 Watch the video
🔹 Make notes
🔹 Practice the questions
🔹 Mark your work
🔹 Review what you have learnt on the exam questions

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These are the calculators that I recommend:

Casio fx-83GTX Scientific Calculator, Black - https://amzn.to/2P2cyGG
Casio Fx-991ex Scientific Calculator Fx 991 Ex - New + 552 Function - Classwiz - https://amzn.to/2sw2Moz

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20 Comments

@TheGCSEMathsTutor Creator 6 years ago Pinned

If anyone would like to support the channel you can buy me a coffee here: https://www.buymeacoffee.com/gcsemathstutor Thank you for all of your support! 😁🙏🏼

@GCSEALevelMaths2026 5 years ago

You deserve more support and recognition!!

@nousername1358 3 years ago

This was the video that made it all click into place, thanks a bunch

@nadernassr6636 3 years ago

THANKS SO MUCH AMAZING AMAZING AMAZING VIDEO!!

@jagannathpadhy7286 4 years ago

So precise and up to point
Got my revision done

@joanchota6511 4 years ago

This was kinda confusing until I came across this video 🤗

@MegaBanannaman 3 years ago

thanks

@sadiyosharaf1318 2 years ago

Thank you so much ❤🎉

@Sehresh.18 4 years ago

Nice video. Thank you so much! Please can you upload more A=Level topic videos, as your videos help me understand the topics so much!

@GCSElevels2027 5 years ago

Nice video sir I love differentiation. Keep up your hard work sir.

@aleksandarmakedonskiiiii5354 6 years ago

I hope you continue to upload a level maths videos but stay safe

@BobBob-uv9fq 4 years ago

Can you show the questions that would be relevant

@BobBob-uv9fq 4 years ago

Can you do more examples with first principles ,my higher book has different styles of questions

@TheGCSEMathsTutor Creator 4 years ago

👑 Everything you Need to Pass your AS Pure Maths Exam! A* | AS Pure Maths Revision | Edexcel AQA & OCR - https://youtu.be/UiKVBshIOv4

@lanasunderland3771 3 years ago

Thank you so much for all the effort you put in, I used your videos for GSCE and got a grade 8. I'm now studying A -level and had no idea how to do first principles in class or where the two (x,f(x)) and (x+h,f(x+h)) came from but I finally get it now!

I noticed you don't cover mechanics only pure maths , would you ever consider making mechanics videos in the future?

@krish8970 6 years ago

Are you going to start uploading again? It’s been a month since your last upload and I use your videos for a level maths during lockdown

@BobBob-uv9fq 4 years ago

When will I know if I can do a degree

@krish8970 6 years ago

Is the formula given or do you need to remember it?

@Benpritchardfilm 6 years ago

Hello sir 👋🏽
Could you make a long YouTube video for the group of year 11s who are doing a level maths next year? It would be extremely helpful if you could go over the topics we’ll need to perfect from gcse and perhaps a few excercises to prepare for next year! ❤️

@Diablo-yy4xq 5 years ago

I don't do A-Level maths, but i'm teaching it to myself so I don't struggle in Economics degree and I have to say nothing seems hard all seems fairly simple really, why does everyone stress about it.