You
might like to press F11 to view the Microworld in
Full Screen mode.
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