Chapter 3DifferentiationKT00403ENGINEERING MATHEMATICS 1

Tangents and the Derivative at a Point

The Derivative as a Function

When does a function Not have a derivative at a point?

Differentiation Rules

Example: Using the Power Rule

Example1.2.

The Derivative as a Rate of Change

Derivatives of Trigonometric Functions

Example1.2.

The Chain Rule

Example1.2.

Exercises1.

2.

TUTORIAL 3Exercises 3.1:14, 19Exercises 3.2:4,13,24Exercises 3.3:5,11,15,18,28,Exercises 3.4:3,7,12Exercises 3.5:3,6,12,17Exercises 3.6:8,13,24,35,56,58

Implicit Differentiation

Example

Related Rates