DIFFERENTIATION II – APPLICATION OF DIFFERENATION

Mathematics SSS 3 First Term

WEEK 12

DIFFERENTIATION II – APPLICATION OF DIFFERENATION

Performance Objectives

Student should be able to:

1. Apply the rules of differentiation (function-of-function).
2. Apply differentiation in determining maximum and minimum point, acceleration, velocity and rate of change.

Content

Chain Rule for Derivative of a Composite Function

Suppose  is a function of a variable, say , where u is a function of another variable , we then say that y is a function of a function of .

Now suppose that  where ) then

This is called the chain rule for differentiation.

Example 1: Find the derivative of each of the following functions

1.          b.

Solution

1. : let  then  therefore

dxdu-2u    and   dudx=6x

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