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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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Derivatives of Logarithmic Functions: MATH 171 Problems 7-9 thumbnail

Derivatives of Logarithmic Functions: MATH 171 Problems 7-9

Proving facts about logarithms and exponentials including the derivative of an exponential with an arbitrary base

Chain RuleeEpsilon-Delta Definition of a LimitExponential FunctionInverse FunctionLimitLimit Involving InfinityLogarithmLogarithm Properties
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Definition of a Semilog Plot thumbnail

Definition of a Semilog Plot

Explaining the logarithmic scale and a semilog plot

Exponential FunctionGraphLogarithmLogarithmic ScaleMATH 147Point-Slope FormSemilog PlotSlope
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Semilog Plot Example 1 thumbnail

Semilog Plot Example 1

Using logarithms to transform an exponential function to a linear function

Exponential FunctionGraphLogarithmLogarithm PropertiesMATH 147Semilog Plot
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Semilog Plot Example 2 thumbnail

Semilog Plot Example 2

Writing a non-linear function to represent the line graphed on a semilog plot

Exponential FunctionLineLogarithmPoint-Slope FormProperties of ExponentsSemilog PlotSlope
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Exponential Growth and Decay in Discrete Time thumbnail

Exponential Growth and Decay in Discrete Time

Explaining exponential functions in discrete time

Exponential DecayExponential FunctionExponential GrowthExponential Growth in Discrete TimeMATH 147
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Exponential Growth in Discrete Time Example thumbnail

Exponential Growth in Discrete Time Example

Solving a population example of exponential growth in discrete time

Exponential FunctionExponential Growth in Discrete TimeMATH 147
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Recursions Example thumbnail

Recursions Example

Solving a population grown example on recurrence equations

Exponential FunctionMATH 147Recurrence EquationRecurrence RelationRecursive SequenceReproductive Rate
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Derivatives of Exponential Functions thumbnail

Derivatives of Exponential Functions

Explaining the formulas for the derivatives of exponential functions

Chain RuleDerivativeExponential FunctionLimitLogarithmLogarithm PropertiesMATH 147Power Rule
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