SS2 Second Term Further Mathematics Lesson Note – Differentiation I

The content is just an excerpt from the complete note for SS2 Second Term Further Mathematics Lesson Note – Differentiation I. Check below to download the complete DOCUMENT

WEEK ONE

DIFFERENTIATION 1

CONTENTS

(a) Limits of a Function

(b) Differentiation from First Principle

(c) Differentiation of Polynomials

SUB TOPIC: LIMITS OF A FUNCTION

A function is a value that describes how a value of the variable  is maniplutated to generate a value of an equation  Other symbols that can be used for functions includes  Note that all functions are rules but not all rules are functions.

Example:

Let y  where  can take non – negative (real values). Now let use power of 10 for  to find the value of  When

From the above, you observe that, as  becomes very large, the value of  gets very close to 1.

Hence,

There are functions that their limit does not exist.

Example:

. The limit of this function does not exist, since division by zero is impossible.

CLASS ACTIVITY:

To gain full access to the note: DOWNLOAD FILE