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Mean Value Theorem: MATH 171 Problems 6-8 thumbnail

Mean Value Theorem: MATH 171 Problems 6-8

Using the Mean Value Theorem to prove facts about functions

Continuous FunctionDecreasing FunctionDerivativeDifference QuotientIntermediate Value TheoremMean Value TheoremPolynomial
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Studying the Shape of Curves: MATH 171 Problems 1-3 thumbnail

Studying the Shape of Curves: MATH 171 Problems 1-3

What the derivatives of a function tell us about the shape of its graph

Concave DownConcave UpDecreasingDecreasing FunctionDerivativeDiscontinuous FunctionFirst DerivativeGraphGraph of DerivativeIncreasingIncreasing FunctionLineRelative MaximumRelative MinimumSecond Derivative
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Monotone Sequence Theorem: MATH 172 Problems 6-8 thumbnail

Monotone Sequence Theorem: MATH 172 Problems 6-8

Using the Monotone Sequence Theorem and induction to show a sequence converges

Bounded SequenceConvergent SequenceDecreasingIncreasingInductionL'Hopital's RuleLimitMonotone Sequence Theorem
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Alternating Series and Ratio Tests: MATH 172 Problems 8-10 thumbnail

Alternating Series and Ratio Tests: MATH 172 Problems 8-10

Proving the Alternating Series and Ratio Test and covers absolute convergence

Absolute ConvergenceAlternating Series TestComparison TestConditionally ConvergentConvergent SeriesDecreasingDivergent SeriesGeometric SeriesLimitMonotone Sequence TheoremRatio Test
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Derivatives and Applications: MATH 151 K.2 Problems 9-15 thumbnail

Derivatives and Applications: MATH 151 K.2 Problems 9-15

Tangent lines to parametric equations and related rates examples

AngleAreaCosineDecreasing FunctionDerivativeDifferentiationDistance TraveledParametric EquationsRate of ChangeSineSlopeSlope of a curveSpeedTangent LineVectorVolume
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Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19 thumbnail

Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19

Mean Value Theorem and using derivatives to find the shape of curves

Absolute MaximumAbsolute MinimumChain RuleConcave DownConcave UpConcavityContinuous FunctionCritical NumberCritical ValueDecreasingDerivativeExponential FunctionFirst DerivativeGraphIncreasingInflection PointLocal MaximumLocal MinimumLogarithmMean Value TheoremPolynomialProduct RuleQuotient RuleRational FunctionSecond DerivativeSine
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MLC WIR 20B M151 week9 #1 thumbnail

MLC WIR 20B M151 week9 #1

Determining the properties of a function from the graph of its derivative

Concave DownConcave UpDecreasingDerivativeFirst DerivativeGraphIncreasingInflection PointLocal MaximumLocal MinimumMATH 151Relative MaximumRelative Minimum
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MLC WIR 20B M151 week9 #2 thumbnail

MLC WIR 20B M151 week9 #2

Using the derivative to determine where a function is increasing and decreasing

Absolute MaximumAbsolute MinimumCritical ValueDerivativeFirst DerivativeMATH 151
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MLC WIR 20B M151 week9 #3 thumbnail

MLC WIR 20B M151 week9 #3

Finding the absolute maximum and minimum values of a function on a closed interval

Critical ValueDecreasingDerivativeFirst DerivativeIncreasingMATH 151
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