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Derivatives and Applications: MATH 171 Problems 7 & 8 thumbnail

Derivatives and Applications: MATH 171 Problems 7 & 8

Calculating slopes of tangent lines to parametric curves

CosineDerivativeLimitLimit from the LeftLimit from the RightLimit Involving InfinityParametric EquationsPerpendicularPolynomialProduct RuleSineTangent LineVectorVector Derivative
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Derivatives and Rates of Change: MATH 171 Problems 1-3 thumbnail

Derivatives and Rates of Change: MATH 171 Problems 1-3

Using the limit definition to find derivatives of functions and vector functions

DerivativeDifference QuotientGraphLimitLimit Definition of the DerivativeLineRational FunctionSlopeSquare RootTangent LineVectorVector DerivativeVector Function
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Differentials: MATH 171 Problems 1 & 2 thumbnail

Differentials: MATH 171 Problems 1 & 2

Proving facts about differentials including a product rule

DerivativeDifferentialLineLinear ApproximationProduct RuleTangent Line
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Exponentials and Hyperbolic Trigonometric Functions: MATH 171 Problems 3 & 4 thumbnail

Exponentials and Hyperbolic Trigonometric Functions: MATH 171 Problems 3 & 4

Examples involving the tangent line to an exponential function and finding the derivative of hyperbolic cosine

Chain RuleCosineDerivativeExponential FunctionHyperbolic CosineHyperbolic FunctionsHyperbolic SineHyperbolic TrigonometryLineSineTangent Linex-Intercept
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Vectors and Derivatives: MATH 151 K.1 Problems 1-8 thumbnail

Vectors and Derivatives: MATH 151 K.1 Problems 1-8

Derivatives and vectors with some physics applications

AccelerationChain RuleCurveDerivativeFunctionGraphParametric EquationsPositionSineSpeedTangentTangent LineVectorVelocity
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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 the Common Exam: MATH 151 Exam 1 Review Problems 26-35 thumbnail

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Absolute ValueContinuous FunctionDerivativeDifferentiableDifferentiationDistance TraveledEquationGraphLimitLinePiecewise FunctionPolynomialProduct RuleRational FunctionSlopeSpeedTangentTangent LineVectorVelocity
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Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15 thumbnail

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

AngleArccosineArcsineArctangentChain RuleDerivativeDomainExponential FunctionInverse TrigonometryLimitProduct RuleRadicalRangeRational FunctionSecantSineSlopeSquare RootTangentTangent LineTrigonometry
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Review for the Common Exam: MATH 151 Exam 2 Review Problems 10-15 thumbnail

Review for the Common Exam: MATH 151 Exam 2 Review Problems 10-15

Implicit differentiation and physics applications of derivatives

AccelerationChain RuleCosineCurveDerivativeDistance TraveledImplicit DifferentiationParametric EquationsPositionSineSlopeSpeedTangent LineVectorVelocity
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