chapter four applications of differentiation. copyright © houghton mifflin company. all rights...
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Chapter Four
Applications of Differentiation
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Definition of Extrema
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Definition of Relative Extrema
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Definition of a Critical Number
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Guidelines for Finding Extrema on a Closed Interval
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Rolle's Theorem
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The Mean Value Theorem
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Definitions of Increasing and Decreasing Functions
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Guidelines for Finding Intervals on Which a Function is Increasing or Decreasing
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The First Derivative Test
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Definition of Concavity
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Definition of Point of Inflection
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The Second Derivative Test
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Definition of Limits at Infinity
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Guidelines for Finding Limits at Infinity of Rational Functions
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Guidelines for Analyzing the Graph of a Function
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Guidelines for Solving Applied Minimum and Maximum Problems