Mathwright Interactive Explorations
 

 

Applications of the Derivative: All in One

by Samuel Masih, Ph.D.
Albany State University

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Applications of the Derivative Book Description:

This 6-page Microworld presents a series of explorations that examine the derivative of a function. The reader may supply functions, and choose points on the graph, and the tangent and secant line approximations are drawn while she chooses small increments, h, for the independent variable away from the base point. The symbolic derivative is supplied, and step-by-step procedures for calculating the limit of the difference quotient for each example or student selection are supplied.

The reader may also define functions piecewise and explore points of non-differentiability, zooming in and out, and so on.

The Microworld explores these themes in 5 interactive pages + a Table of Contents.

Author: Sam Masih, Albany State University
E-mail: smasih@asurams.edu

Topics: Limits, Difference Quotients, Derivatives, Second Derivatives, Monotonicity, Concavity, Inflection Point, Tangent Lines, Secant Lines, Slope, Piecewise defined functions
Number of Pages: 6
Animation: Yes
Grade Level: 13-15

Scroll down to enter this 6-page Microworld.