Microworld: Applications of the Derivative: (All-in-One)
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Author: Samuel Masih

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.

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

 

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Microworld Title Page:
Applications of the Derivative

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