Understanding the Derivative
Understanding The Derivative Numerically Using Difference Quotients
answers
Understanding The Derivative Graphically Using Difference Quotients
answers
Making Observations about the Function and Its Derivatives
Answers
Connecting Continuity and Differentiability
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Connecting Graphs of f, f ' and Descriptions
Locally Linearity Zooming In to “See” Differentiability
Developing an Understanding for the Definition of f ‘(x)(Graphically, Numerically, Analytically, and Verbally)
Discovering the Derivative Graphically and Numerically
What is the Slope of a Graph at a Point?
An Exploration to Discover the Value for Derivative at a Point
Estimating a Derivative by Zooming
(
Slope Program for the TI83/84
)
Estimating Derivatives Graphically
How Can One Graph Help Describe Another Graph?
Understanding the Definition of a Derivative
Is there a pattern to the derivatives of a Function?
Discovering the Derivative by Exploration
Using the Calculator to Understand the Derivative
Working with Information about f, f ', and f " (set 1)
Working with Information about f, f ', and f " (set 2)
Connecting Graphs of f, f ', and f " with the Calculator
Building Understanding for the relationship between graphs of function (f), graphs of the derivative of the
function (f ') and graphs of the second derivative of the graph (f ")
Connecting Graphs of f, f ', and f "
Seeing is Believing (A Lesson for Introducing Writing Tangent Lines by Zooming in to Find Slope at a Point)
Creating Linear Models for Functions
at a point (a, f(a))
Finding Extreme Values of a Function
Discovering Instantanous Rate of Change
Discovering Basic
Derivatives with NDERIV
Discovering the Chain Rule
Investigating Continuity and Differentiability with the Graphing Calculator
Discovering the Chain Rule by Using a Toolkit of Basic Functions
Answers
Estimating the Derivative with the TI-89
