Outcomes
In this lesson you will learn
- the slope function and its graph
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
- slope of tangents
- how to determine local maximum and minimum points and values (vertex) of functions
- intervals of increase and decrease
- the use of interval notation