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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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Absolute Extrema: MATH 171 Problems 4 & 5 thumbnail

Absolute Extrema: MATH 171 Problems 4 & 5

Proving Fermat's Theorem and graphing local and absolute extrema

Absolute MaximumAbsolute MinimumCritical ValueDerivativeDifference QuotientDiscontinuous FunctionExtreme Value TheoremLimitLimit from the LeftLocal MaximumLocal MinimumOne-Sided LimitRelative MaximumRelative Minimum
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Sandwich Theorem Example thumbnail

Sandwich Theorem Example

Solving a limit at infinity using the Sandwich (or Squeeze) Theorem

GraphLimitLimit from the LeftLimit Involving InfinityMATH 147Squeeze (or Sandwich) Theorem
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MLC WIR 20B M151 week3 #18 thumbnail

MLC WIR 20B M151 week3 #18

Solving for the value of a constant that makes a function is continuous everywhere

ContinuousContinuous at x=aContinuous FunctionLimitLimit from the LeftLimit from the RightMATH 151
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MLC WIR 20B M151 week2 #06 thumbnail

MLC WIR 20B M151 week2 #06

Evaluating limits where the denominator approaches zero

InfinityLimitLimit from the LeftLimit from the RightLimit Involving InfinityMATH 151One-Sided Limit
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MLC WIR 20B M151 week2 #08 thumbnail

MLC WIR 20B M151 week2 #08

Evaluating left and right limits of a fraction containing an absolute value

Absolute ValueLimitLimit from the LeftLimit from the RightMATH 151One-Sided Limit
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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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MLC WIR 20B M151 week2 #11 thumbnail

MLC WIR 20B M151 week2 #11

Solving for the values for constants to make a piecewise function is continuous

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