2.2 THE DERIVATIVE AT A POINT
Average Rate of Change
Instantaneous Rate of Change: The Derivative
Visualizing the Derivative: Slope of Curve and Slope of Tangent
Estimating the Derivative
Computing the Derivative Algebraically

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2.3 THE DERIVATIVE FUNCTION
The Derivative Function: Graphically
What Does the Derivative Tell Us Graphically?
The Derivative Function: Numerically
Improving Numerical Estimates
Derivative Function: From a Formula
Derivative of a Constant Function
Derivative of a Linear Function
Derivative of a Power Function

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2.4 INTERPRETATIONS OF THE DERIVATIVE
An Alternative Notation for the Derivative
Using Units to Interpret the Derivative

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2.5 THE SECOND DERIVATIVE
Second and Higher Derivatives
What Do Derivatives Tell Us?
Interpretation of the Second Derivative as a Rate of Change
Velocity and Acceleration

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2.6 DIFFERENTIABILITY
What Does It Mean for a Function to Be Differentiable?
Some Non-differentiable Functions
Differentiability and Continuity