Edexcel A-Level Maths 2024 Paper 1 Q4 | Differentiation | Full Step-by-Step Explanation

Edexcel A-Level Maths 2024 Paper 1 - Question 4. We use the formal definition of a derivative to show why the power rule works for y = x².
📚 Topics covered:
The Formal Definition: Setting up the limit as h approaches 0.
Algebraic Expansion: Expanding (x + h)² and simplifying the numerator.
Final Limit: Dividing by h and evaluating the expression as h vanishes to reach 2x.
🎯 Key Learning Outcomes:
✔ Understand the logical flow of a first principles proof.
✔ Learn how to properly cancel terms to isolate the derivative.
✔ Practice the formal notation required to score full marks in the exam.
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