Differentiation
This chapter introduces differentiation as a method for finding the exact gradient of a curve at any point, building on the concept of limits of…
What you'll learn
- Understand that the gradient of a curve at a point is the limit of the gradients of a suitable sequence of chords
- Use the notations f'(x), f''(x) and dy/dx for the first and second derivatives
- Use the derivative of x^n (for any rational n), together with constant multiples, sums, differences of functions, and of composite functions using the chain rule
- Apply differentiation to gradients, tangents and normals
Study tools for this chapter
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Guided lesson slides
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Flashcards
23 spaced-repetition cards
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MCQs
110 multiple-choice questions
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Exam questions
75 questions with mark schemes
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Revision notes
Structured notes with exam techniques and definitions
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AI Tutor
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About Differentiation on Nexelia Academy
Differentiation is chapter 7 of Nexelia Academy's Cambridge A-Level Pure Mathematics 1 course. This chapter introduces differentiation as a method for finding the exact gradient of a curve at any point, building on the concept of limits of…
This chapter is mapped to the official Cambridge International AS & A Level Pure Mathematics 1 syllabus and includes 110 multiple-choice questions, 75 structured exam questions with full mark schemes, 23 spaced-repetition flashcards, guided lesson slides and access to an AI tutor trained on the Cambridge specification.
Frequently asked questions about Differentiation
How do I revise Differentiation for Cambridge A-Level Pure Mathematics 1?
Work through the guided lesson slides first to build a mental model, then drill the 110 MCQs for quick recall, attempt the 75 exam questions with mark schemes for technique, and use flashcards for spaced repetition. The AI tutor is available throughout if you get stuck.
How many practice questions does Differentiation include?
Differentiation on Nexelia Academy includes 110 multiple-choice questions, 75 structured exam questions with full mark schemes, and 23 flashcards.
Is Differentiation free?
Chapter 1 of Cambridge A-Level Pure Mathematics 1 is free for all registered users. Differentiation is included in Pro and Max plans, which unlock every chapter with unlimited practice.
Does Nexelia Academy cover Differentiation for Cambridge A-Level Pure Mathematics 1?
Yes. Differentiation is fully mapped to the official Cambridge International AS & A Level Pure Mathematics 1 syllabus and is one of Nexelia Academy's published chapters for this course.