Year 13/A2 Pure Chapter 9.1 (Differentiation)

This is the first lesson for Chapter 9 (Differentiation), the second-largest chapter in the entire maths A-Level. We begin here by exploring the derivatives of the sine and cosine functions, beginning with proving the derivatives of both sin𝑥 and cos𝑥 from first principles.

This lesson is meant as preparation for Exercise 9A, page 234 of the Pearson Edexcel Pure Mathematics Year 2/A2 Textbook.

#differentiation #calculus #alevelmaths #9MA0

Introduction: 00:00
Solution to Warm-Up Q1: 0:57
Solution to Warm-Up Q2: 3:28
Solution to Warm-Up Q3: 6:10
Solution to Warm-Up Q4: 8:57

DIFFERENTIATING 𝐬𝐢𝐧𝒙 AND 𝐜𝐨𝐬𝒙 FROM FIRST PRINCIPLES

Introduction: 13:15
Worked Example 1A (Derivative of sin𝑥): 14:25
Worked Example 1B (Derivative of cos𝑥): 16:36

Summary: 18:27

DIFFERENTIATING FUNCTIONS OF SINE AND COSINE

Worked Example 1a): 19:07
Worked Example 1b): 19:45
Worked Example 1c): 20:13
Worked Example 2: 22:17
Worked Example 3: 29:23

Suggested Exerises: 35:14

[normano]

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