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Edexcel A-Level Maths: Core Differentiation and Integration Techniques | Edexcel A-Level 数学:核心微分与积分技巧

📚 Edexcel A-Level Maths: Core Differentiation and Integration Techniques | Edexcel A-Level 数学:核心微分与积分技巧

This revision guide covers the core differentiation and integration techniques that frequently appear in Edexcel A-Level Pure Mathematics papers. Mastery of these methods is essential for solving problems involving rates of change, optimisation, area under curves, and first-order differential equations. This guide is designed for students working through mixed Edexcel A-Level practice files, including the set labelled pdfjoiner_(4)-156.

本复习指南涵盖 Edexcel A-Level 纯数试卷中常见的核心微分与积分技巧。掌握这些方法对于解决变化率、最优化、曲线下面积以及一阶微分方程问题至关重要。本指南适用于练习 Edexcel A-Level 混合习题的学生,包括编号为 pdfjoiner_(4)-156 的练习集。


1. Chain Rule | 链式法则

The chain rule is the most frequently used technique for differentiating composite functions, where one function is applied inside another. It is essential for expressions involving powers of brackets, exponentials of functions, logarithms of functions and trigonometric functions of non-linear arguments.

链式法则是对复合函数求导时最常用的技巧,其中一个函数嵌套在另一个函数内部。它对于括号幂、函数的指数、函数的对数以及非线性角度的三角函数等表达式至关重要。

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