Learning Resources

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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