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
Prerequisites
To be successful in this lesson, it would be helpful to know the following:
- instantaneous rate of change
- slopes of secants and tangents
- how to graph polynomial functions