06 AA HL - Differentiation

Table of Contents

First Principles

First Principles

SSDD 1

SSDD 2

SSDD 3

Simple Differentiation

The Power Rule

Differentiate sinx

Differentiate cosx

Differentiate e to the x

Tangents and Normals

Equation of a Tangent

Equation of a Normal

The Chain Rule

The Chain Rule

Plotting Diagonal Lines

Product and Quotient Rules

The Product Rule

The Quotient Rule

Functions and Differentiation Rules

Example 1

Example 2

Turning Points

Local maximum and minimum points

Points of Inflexion summarised

Implicit Differentiation

What is implicit differentiation ?

Example 1

Example 2

Example 1