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Chapter 2 Differentiation
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Figure 2.1: Tangent Line to a Graph
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Figure 2.2: Tangent Line to a Graph at a Point
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Figure 2.3: Tangent Line to a Circle
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Figure 2.6: The Secant Line Through the Two Points
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Figure 2.7: Secant line approaches the tangent line
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Definition of the Slope of a Graph
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Definition of the Derivative
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Figure 2.11: Functions That Are Not Differentiable at x = 0
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Differentiability Implies Continuity
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Figure 2.12: The Constant Rule
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Figure 2.13: The (Simple) Power Rule
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The Constant Multiple Rule
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The Sum and Difference Rules
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Figure 2.18: Definition of Average Rate of Change
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Definition of Instantaneous Rate of Change
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Marginal Profit/Marginal Revenue/Marginal Cost
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Figure 2.22: Discrete and Continuous Variables
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The Product Rule
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The Quotient Rule
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Figure 2.28: The Chain Rule
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The General Power Rule
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Summary of Differentiation Rule
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Notation for Higher-Order Derivatives
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Position Function/Velocity Function/Acceleration Function
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Implicit Differentiation
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Guidelines for Solving a Related-Rate Problem
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Table: Verbal Statement/ Mathematical Model
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Simplifying Algebraic Expressions
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