PROGRESSIVE MATHEMATICS INITIATIVE® (PMI®)

**Table of Contents**__Chapter 1: Introduction to Derivatives__:

The Tangent Line Problem

Instantaneous Rate of Change

The Definition of Derivative

The Alternate Form of Derivative Definition

Continuity vs. Differentiability

Derivative Rules: Power, Constant & Sum/Difference

Higher Order Derivatives__Chapter 2: Derivatives of Various Functions__:

The Product Rule

The Quotient Rule

The Chain Rule

Derivatives of Trigonometric Functions

Derivatives of Logarithms and e

Derivatives of Piecewise & Absolute Value Functions

Appendix of Proofs__Chapter 3: Using Derivatives for Tangent Lines, Normal Lines & Inverse Functions__:

Equations of Tangent Lines

Horizontal Tangent Lines

Equations of Normal Lines

Derivatives of Inverse Functions

Interpreting Rules of Derivatives

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