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Vectors and Derivatives (Product Rule): MATH 171 Problems 1-3

Proving facts about the derivatives of vector functions including the product rule

CosineDerivativeDifference QuotientDot ProductGraphLimitLimit Definition of the DerivativeOrthogonalProduct RuleSineSum RuleTrigonometryVectorVector DerivativeVector Function

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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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Limits: MATH 171 Problems 8 & 9

Proving a property of scalar multiplication for limits using the epsilon-delta definition and using the Squeeze Theorem for Limits.

Absolute ValueCosineEpsilon-Delta Definition of a LimitLimitLimit PropertiesScalarSquare RootSqueeze (or Sandwich) TheoremTrigonometry

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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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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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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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