Calculus AB Volume 1: Straight Forward Math Series (Large Edition)

Grade Level: 7+
Interest Level: N/A
Reading Level: N/A

Topics include: Limits and Continuity; Derivatives, Applications of Derivatives. Practice, review, and testing included. An answer key is included in this 160-page book.

Table of Contents

LIMITS & CONTINUITY
Review of Function Properties
The Meaning of Limits
One-Sided Limits
Nonexistent Limits
Continuity
Continuity & Limits of Rational Functions
Consequences of Continuity

DERIVATIVES
Slopes & Tangent Lines
Definition of a Derivative
Basic Differentiation Formulas
Product & Quotient Rules
Second, Third, & nth Derivatives
Introductory Interpretation of Derivatives
Trigonometric Limits & Derivatives
The Chain Rule
Derivatives of Logarithmic & Exponential Functions
Logarithmic Differentiation
Summary of Differentiation
Implicit Differentiation
Differentiating Inverse Functions

APPLICATION OF DERIVATIVES
Differentiability & Continuity
L'Hopital's Rule
Maxima & Minima
Curve Sketching
Differentials & Linear Approximations
Newton's Method
Optimization Problems - Part 1
Optimization Problems - Part 2
Velocity & Acceleration
Logarithmic Differentiation
Summary of Differentiation
Related Rates
Mean Value Theorem

ANSWERS