Post on 20-Jan-2018
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Chapter 2
Differentiation
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Tangent Line to a Graph
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Tangent Line to a Circle
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Tangent Lineto a Graph at a Point
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The SecantLine Through the Two Points
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Secant lineapproaches the tangent line
TheTangentLineProblem.cdf
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Definition of the Slope of a Graph
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Definition of the Derivative
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Functions ThatAre Not Differentiable at x = 0
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The Constant Rule
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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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Definition ofAverage Rate of Change
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Definition ofInstantaneous Rate of Change
TheDefinitionOfTheDerivative.cdf
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The Product Rule
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The Quotient Rule
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The Chain Rule
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The General Power Rule
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Summary of Differentiation Rule
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Marginal Profit/Marginal Revenue/Marginal Cost
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Notation forHigher-Order Derivatives
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Position Function/Velocity Function/Acceleration Function
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Implicit Differentiation
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Table: Verbal Statement/Mathematical Model
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Guidelines for Solvinga Related-Rate Problem
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RelationOfRadiusSurfaceAreaAndVolumeOfASphere.cdf
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Find the slope of the graph at the given point.