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Trigonometry Derivatives and the Chain Rule: MATH 171 Problems 1-3 thumbnail

Trigonometry Derivatives and the Chain Rule: MATH 171 Problems 1-3

Proving the derivatives of trigonometric functions and that sine is continuous

ContinuousContinuous at x=aContinuous FunctionCosineDerivativeDifference QuotientLimitLimit Definition of the DerivativeQuotient RuleSecantSineTangentTrigonometry
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Implicit Differentiation: MATH 171 Problems 6 & 7 thumbnail

Implicit Differentiation: MATH 171 Problems 6 & 7

Using implicit differentiation to solve a problem and to prove the power rule for rational exponents

DerivativeDifferentiationImplicit DifferentiationPolynomialPower FunctionPower RuleQuotient Rule
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Related Rates Example 2 thumbnail

Related Rates Example 2

Solving a related rates word problem on blood flow and the Poiseuille equation

DerivativeImplicit DifferentiationMATH 147Quotient RuleRelated Rates
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Derivatives of Exponential Functions Example 2 thumbnail

Derivatives of Exponential Functions Example 2

Calculating a derivative of a quotient with an exponential function

Chain RuleDerivativeExponential FunctionLogarithmMATH 147Quotient Rule
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Optimization Example 1 thumbnail

Optimization Example 1

Solving an optimization word problem using a derivative

Critical NumberDerivativeMATH 147MaximizeOptimizationQuotient Rule
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Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9 thumbnail

Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9

Reviewing the chain rule and the derivatives and limits of trigonometric functions

Chain RuleCompositionCosineDerivativeLimitPolynomialProduct RuleQuotient RuleRadicalSecantSineSlopeSquare RootTangentTangent Line
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Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40 thumbnail

Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40

Review of derivatives and tangent lines to functions and vector equations

GraphLineParabolaParallelParametric EquationsPositionProduct RuleQuotient RuleSlopeTangentTangent Line
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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 week6 #1cd thumbnail

MLC WIR 20B M151 week6 #1cd

Using the Product, Quotient and Chain Rules to find several derivatives

Chain RuleDerivativeExponential FunctionFirst DerivativeMATH 151Product RuleQuotient RuleSecantSineTangent
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