Calculus
First principles differentiation
First principles differentiation is a core A-level Calculus topic. Use this page to revise the main ideas, practise the common question styles, and build confidence with worked examples, graph interpretation, and connected rates of change.
What First principles differentiation means in A-level Calculus and where it appears in exam questions.
The key vocabulary, notation, and command words students must recognise for First principles differentiation.
Common steps used to solve or explain First principles differentiation questions accurately.
Typical mistakes students make in First principles differentiation, and how to avoid losing method marks.
How to connect First principles differentiation with wider A-level Calculus topics for longer answers.
A quick revision plan for practising First principles differentiation before timed past-paper questions.