DIFFERENTATION

Mathematics SSS 3 First Term

WEEK 11

DIFFERENTATION

Performance Objectives

Student should be able to:

1. Define and explain differentiation and the meaning of derived function.
2. Perform differentiation from first principle.
3. Apply the rules of differentiation.

Content

Differential Coefficient of a Function

The study of the rates of change of variables with respect to other variables has led to the emergence of an important branch of mathematics called differential calculus.

Now suppose , then a little change in y will also lead to a little change in x therefore,

Thus

 

Hence the  read as “dee  dee x” is called the differential coefficient or derivative of y with respect to x. other notations equivalent to  are  read as f…