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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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Inverse Trigonometric Functions: MATH 171 Problems 4-6 thumbnail

Inverse Trigonometric Functions: MATH 171 Problems 4-6

Properties of inverse trig functions and the derivative of arctangent

AngleArccosineArcsineArctangentCodomainCosineDerivativeDifferentiationDomainGraphInverse FunctionInverse TrigonometryOne-to-oneSecantSineTangentTrigonometry
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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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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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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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Fundamental Theorem of Calculus and u-Substitution: MATH 172 Problems 4-7 thumbnail

Fundamental Theorem of Calculus and u-Substitution: MATH 172 Problems 4-7

Proving the Fundamental Theorem of Calculus and examples of u Substitution

Even FunctionFundamental Theorem of CalculusIndefinite IntegralIntegrable FunctionSecantTangentu substitution
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Trigonometric Substitution: MATH 172 Problems 6 & 7 thumbnail

Trigonometric Substitution: MATH 172 Problems 6 & 7

Integrating using a trigonometric substitution

ArctangentArea Using Polar CoordinatesIndefinite IntegralIntegration MethodsSecantSineTangentTrig SubstitutionTrigonometry
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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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