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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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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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Continuity: MATH 171 Problems 8 & 9 thumbnail

Continuity: MATH 171 Problems 8 & 9

Proving a product of continuous functions is continuous and using the Intermediate Value Theorem

ContinuousContinuous at x=aContinuous FunctionIntermediate Value TheoremLimitLimit PropertiesPolynomial
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Trigonometry Derivatives and the Chain Rule 2: MATH 171 Problems 4 & 5 thumbnail

Trigonometry Derivatives and the Chain Rule 2: MATH 171 Problems 4 & 5

Using the Chain Rule to prove facts about derivatives

Chain RuleDerivativeDifferentiableEven FunctionFactoringOdd FunctionPolynomialProduct Rule
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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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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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Definite Integrals: MATH 171 Problems 5-9 thumbnail

Definite Integrals: MATH 171 Problems 5-9

The definition and properties of definite integrals

Area under a curveCircleDefinite IntegralIntegralLimitNorm of a PartitionPartition of an IntervalPolynomialRadiusRiemann SumRight EndpointsSquare Root
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Intermediate Value Theorem and Bisection Method Example thumbnail

Intermediate Value Theorem and Bisection Method Example

Using the Intermediate Value Theorem and Bisection Method to approximate the solution of an equation

Bisection MethodEquationIntermediate Value TheoremMATH 147Polynomial
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Derivatives of Exponential Functions Example 1 thumbnail

Derivatives of Exponential Functions Example 1

Calculating the derivative of a function with exponentials using the chain and product rule

Chain RuleDerivativeExponential FunctionMATH 147PolynomialPower RuleProduct Rule
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