Contents

2.1 Instantaneous Rate of Change

Defining Instantaneous Velocity Using the Idea of a Limit

Visualizing the Derivative: Slope of the Graph and Slope of the Tangent Line

Estimating the Derivative of a Function Given Numerically

Finding the Derivative of a Function Given Graphically

What Does the Derivative Tell Us Graphically?

Estimating the Derivative of a Function Given Numerically

Finding the Derivative of a Function Given by a Formula

2.3 Interpretations of the Derivative

An Alternative Notation for the Derivative

Using Units to Interpret the Derivative

Using the Derivative to Estimate Values of a Function

What Does the Second Derivative Tell Us?

Interpretation of the Second Derivative as a Rate of Change

Graphs of Cost and Revenue Functions

Limits, Continuity, and the Definition of the Derivative

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