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      • Chapter 1 – Limits
      • Chapter 2 – Derivatives
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Chapter 2 – Derivatives

This chapter begins your epic quest through differential calculus!  You will start with the concept and limit definition of the derivative before learning about differentiability and sketching graphs of the derivative of f(x).  From there, it is time to shine a light on differentiation rules so you can then tackle position, velocity, and acceleration – all very cool!  Then, it is off to master the Product, Quotient, and Chain Rules and then on to implicit differentiation.  The chapter rounds out with a rockin’ study of related rates and a host of Advanced Calculus AB and BC free response and multiple choice practice questions featuring all you learned about the derivative.  Time to dive in and get your blind blown by the beauty of the derivative!!!

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Lesson 1 – The Concept of the Derivative

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Lesson 1 – The Concept of the Derivative (Part 2)

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Lesson 2 – Differentiability and Sketching Graphs of f’

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Lesson 3 – FUNdamental Differentiation Rules (The Shortcut)

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Lesson 3 – FUNdamental Differentiation Rules (The Shortcut) Part 2

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Lesson 3 – FUNdamental Differentiation Rules (The Shortcut) Part 3

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Lesson 4 – Position, Velocity, and Acceleration

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Lesson 4 – Position, Velocity, and Acceleration (Part 2)

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Lesson 5 – The Product and Quotient Rules

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Lesson 5 – The Product and Quotient Rules (Part 2)

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Lesson 6 – The Chain Rule

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Lesson 6 – The Chain Rule (Part 2)

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Lesson 7 – Implicit Differentiation

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Lesson 7 – Implicit Differentiation (Part 2)

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Lesson 8 – Related Rates

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Lesson 8 – Related Rates (Part 2)

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Lesson 8 – Related Rates (Part 3)

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Lesson 9 – Calculus AB and BC Exam Practice on Derivatives

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Lesson 9 – Calculus AB and BC Exam Practice on Derivatives (Part 2)

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      • 6th Grade Math
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Whole Numbers & Decimals
        • Chapter 2: Representing Data In Different Ways
        • Chapter 3: Variables, Algebraic Expressions, & Solving Equations
        • Chapter 4: Divisibility, Factoring Numbers, & Fractions
        • Chapter 5: Addition and Subtraction of Fractions
        • Chapter 6: Multiplication and Division of Fractions
        • Chapter 7: Ratios, Proportions, and Percents
        • Chapter 8: Fundamentals of Geometry
        • Chapter 9: Unit Conversions, Perimeter, Area, & Volume
        • Chapter 10: Introduction to Probability
        • Chapter 11: Integers – Properties, Operations, & Equations
        • Chapter 12: Two-Step Equations and Inequalities
      • Pre-Algebra
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Algebraic Expressions & Operations with Integers
        • Chapter 2: One-Step Equations & Inequalities
        • Chapter 3: Operations and Equations With Decimals
        • Chapter 4: Factors, Simplifying Fractions, and Exponent Rules
        • Chapter 5: Fraction Operations & Solving Equations with Fractions
        • Chapter 6: Operations and Uses of Ratios, Proportions, & Percents
        • Chapter 7: Solving Equations and Inequalities
        • Chapter 8: Relations & Functions, Slope, Lines, and Graphing
        • Chapter 9: Foundations of Geometry
        • Chapter 10: Areas of Two- & Three-Dimensional Figures and Volume
        • Chapter 11: Right Triangles and An Introduction to Trigonometry
        • Chapter 12: Data Analysis: Techniques and Calculations
        • Chapter 13: Probability, Combinations, and Permutations
        • Chapter 14: Foundations of Non-Linear Functions and Polynomial Operations
      • Algebra 1
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Algebraic Expressions and Operations with Real Numbers
        • Chapter 2: Solving Equations – From One-Step to Multi-Step
        • Chapter 3: Ratios, Proportions, & Percents
        • Chapter 4: Solving Inequalities
        • Chapter 5: Introduction to Graphs and Functions
        • Chapter 6: Linear Functions and Graphing Lines
        • Chapter 7: Systems of Linear Equations and Linear Inequalities
        • Chapter 8: Exponent Rules & Exponential Functions
        • Chapter 9: Polynomials
        • Chapter 10: Graphing and Solving Quadratic Equations
        • Chapter 11: Introduction to Rational Expressions
        • Chapter 12: Radicals and An Introduction to Trigonometry
        • Chapter 13: Data Analysis: Techniques and Calculations
        • Chapter 14: Probability, Combinations, and Permutations
      • Calculus 1 & 2 / AB / BC
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1 – Limits
        • Chapter 2 – Derivatives
        • Chapter 3 – Uses of the Derivative
        • Chapter 4 – Integration
        • Chapter 5 – Derivatives and Integrals of Exponential Functions, Logarithms, and Inverse Trigonometry
        • Chapter 6 – Differential Equations and Exponential & Logistic Growth
        • Chapter 7 – Area, Volume, and Arc Length
        • Chapter 8 – Advanced Integration Techniques and Improper Integrals
        • Chapter 9 – Series and Tests for Convergence and Divergence
        • Chapter 10 – Taylor Polynomials and Power Series
        • Chapter 11 – The Calculus of Parametric and Polar Equations
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