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Optimization: MATH 171 Problems 1-3 thumbnail

Optimization: MATH 171 Problems 1-3

Optimizing values in word problems

Absolute MaximumAbsolute MinimumAreaCritical ValueDerivativeDistance from a Point to a LineFirst Derivative TestGraphIncreasing FunctionLineMaximizeMinimizeRelative MaximumRelative MinimumSecond Derivative TestVolumeWord Problems
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MLC WIR 20B M151 week8 #2 thumbnail

MLC WIR 20B M151 week8 #2

Solving a word problem maximizing area

Absolute MaximumCritical ValueDerivativeFirst DerivativeLocal MaximumMATH 151MaximizeParabolaSecond DerivativeSecond Derivative Test
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Mean Value Theorem and Studying the Shape of Curves: MATH 151 4.2 Problems 1-6 thumbnail

Mean Value Theorem and Studying the Shape of Curves: MATH 151 4.2 Problems 1-6

Mean Value Theorem and properties of a graph

ArctangentChain RuleConcave DownConcave UpConcavityContinuous FunctionCosineCritical NumberDecreasingDerivativeDifferentiationExponential FunctionFirst DerivativeIncreasingInflection PointLocal MaximumLocal MinimumMean Value TheoremPolynomialProduct RuleQuotient RuleRational FunctionSecond DerivativeSecond Derivative TestSineVertical Asymptote
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Mean Value Theorem and Studying the Shape of Curves 2: MATH 151 4.3 Problems 1-6 thumbnail

Mean Value Theorem and Studying the Shape of Curves 2: MATH 151 4.3 Problems 1-6

Mean Value Theorem and properties of a graph

ArctangentChain RuleConcave DownConcave UpConcavityContinuous FunctionCosineCritical NumberDecreasingDerivativeDifferentiationExponential FunctionFirst DerivativeIncreasingInflection PointLocal MaximumLocal MinimumMean Value TheoremPolynomialProduct RuleQuotient RuleRational FunctionSecond DerivativeSecond Derivative TestSineVertical Asymptote
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Maximum and Minimum Value (multivariable) Conceptual V2 thumbnail

Maximum and Minimum Value (multivariable) Conceptual V2

Explaining the Second Derivative Test for Local Extrema for functions of two variables

Function of Two VariablesLocal MaximumLocal MinimumMATH 251Partial DerivativeSaddle PointSecond Derivative TestSecond-Order Partial Derivative
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Maximum and Minimum Value (multivariable) Exercise V1 thumbnail

Maximum and Minimum Value (multivariable) Exercise V1

Finding all local extrema and saddle points for a function of two variables

Critical PointFunction of Two VariablesLocal MaximumLocal MinimumMATH 251Partial DerivativeSaddle PointSecond Derivative TestSecond-Order Partial Derivative
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Maximum and Minimum Value (multivariable) Exercise V2 thumbnail

Maximum and Minimum Value (multivariable) Exercise V2

Finding all local extrema and saddle points for a function of two variables

Critical PointFunction of Two VariablesLocal MaximumLocal MinimumMATH 251Partial DerivativeSaddle PointSecond Derivative TestSecond-Order Partial DerivativeSystem of Equations
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Using the Second Derivative Test to Find Local Extrema thumbnail

Using the Second Derivative Test to Find Local Extrema

Using the second derivative test to find local extrema for a function

Critical ValueDerivativeDomainLocal MaximumLocal MinimumSecond DerivativeSecond Derivative Test
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Finding the Box with the Largest Volume thumbnail

Finding the Box with the Largest Volume

Finding the dimensions of the box with the largest volume given the amount of material to make the box

Critical ValueDerivativeDomainHow-To CalculusOptimizationSecond DerivativeSecond Derivative Test
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