Education Technology

The Derivative Relationship between a Function and Its Inverse

Published on 05/09/2010

Activity Overview

In this activity, students will make concept connections numerically, graphically and analytically concerning the differentiation of a function and its inverse. This TI-Nspire lesson could be used to either introduce inverse function differentiation or as a reinforcement tool. This document supports a student-centered collaborative lab activity.

The teacher could modify the initial function and the corresponding domain values to provide further investigations.

Before the Activity

Download and make the TNS file available to students.

Prerequisites:

  • Content knowledge of the algebraic and geometric properties of the inverse of a function.
  • Content knowledge of the differentiation of elementary functions from a geometric, numerical and analytical viewpoint.
  • Calculator background in the use of the differentiation operation.
  • During the Activity

    This student- centered activity is to be completed by each student on their calculator.