Centre for Distance Learning and Innovation

Outcomes

In this lesson you will learn

the notation used to represent the derivative
the general formula for the derivative
the definition of the derivative of a function
the geometrical meaning of the derivative
the relationship between the definition of a derivative and the slope of a tangent

By the end of this section students will be able to:

demonstrate an understanding for slope functions and their connection to differentiation
determine and apply the derivative of a function
demonstrate an understanding for the conceptual foundations of limit, the area under a curve, the rate of change, and the slope of the tangent line, and their applications
derive and apply the power rule
evaluate and apply limits
analyze relations, functions, and their graphs
use tables and graphs as tools to interpret expressions

To be successful in this lesson, it would be helpful to know the following: