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Continuity: MATH 171 Problems 6 & 7 thumbnail

Continuity: MATH 171 Problems 6 & 7

Proving a piecewise function and a polynomial are continuous

ContinuousContinuous at x=aDiscontinuityDiscontinuous FunctionGraphLimitLimit PropertiesPiecewise FunctionPolynomialRational Function
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Differentiation Formulas: MATH 171 Problems 4 & 5 thumbnail

Differentiation Formulas: MATH 171 Problems 4 & 5

Using the limit definition to find a derivative and proving the power rule

Absolute ValueDerivativeDerivative RulesDifference QuotientLimit Definition of the DerivativePiecewise FunctionPower FunctionPower Rule
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MATH 308 WIR22A V53 thumbnail

MATH 308 WIR22A V53

Writing piecewise functions in terms of the unit step function and finding the Laplace transform

Laplace TransformMATH 308Step Function
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Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25 thumbnail

Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25

Review of limits, continuity, and the Intermediate Value Theorem

Absolute ValueAsymptoteContinuousContinuous at x=aDiscontinuityEquationGraphHorizontal AsymptoteInfinityIntermediate Value TheoremLeft LimitLimitOne-Sided LimitPiecewise FunctionRational FunctionVectorVertical Asymptote
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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 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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MLC WIR 20B M151 week6 #16 thumbnail

MLC WIR 20B M151 week6 #16

Solving for constants so that a piecewise function is differentiable everywhere

ContinuousContinuous at x=aDerivativeDifferentiableFirst DerivativeMATH 151Piecewise Function
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MLC WIR 20B M151 week2 #09 thumbnail

MLC WIR 20B M151 week2 #09

Evaluating one-sided and two-sided limits of a piecewise

LimitLimit from the LeftLimit from the RightMATH 151One-Sided LimitPiecewise Function
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MLC WIR 20B M151 week2 #10 thumbnail

MLC WIR 20B M151 week2 #10

Explaining why a piecewise function is discontinuous at a point

ContinuousContinuous at x=aDiscontinuityLimitLimit from the LeftLimit from the RightMATH 151One-Sided LimitPiecewise Function
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