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
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
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
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
2.4 INTERPRETATIONS OF THE DERIVATIVE
An Alternative Notation for the Derivative
Using Units to Interpret the Derivative
An Alternative Notation for the Derivative
Using Units to Interpret the Derivative
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
Second and Higher Derivatives
What Do Derivatives Tell Us?
Interpretation of the Second Derivative as a Rate of Change
Velocity and Acceleration
2.6 DIFFERENTIABILITY
What Does It Mean for a Function to Be Differentiable?
Some Non-differentiable Functions
Differentiability and Continuity
What Does It Mean for a Function to Be Differentiable?
Some Non-differentiable Functions
Differentiability and Continuity