VMLC

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

Proving the derivative of ln(x) and the power and product rules using logarithmic differentiation

Chain RuleDerivativeDifferentiableDifferentiationeImplicit DifferentiationLogarithmLogarithmic DifferentiationPower FunctionPower RuleProduct Rule

Proving L'Hospital's Rule and using it to evaluate limits

Chain RuleContinuousContinuous at x=aDerivativeDifferentiableeGraphIndeterminate FormL'Hopital's RuleLimitLimit Involving InfinityLogarithm

Using u substitution to evaluate integrals and prove facts about logarithms and integrals and

CosineDefinite IntegralIndefinite IntegralIntegralLogarithmSineTrigonometryu substitution

Explaining the definition of logarithmic scale and double-log plots

Double-Log PlotGraphLineLogarithmLogarithmic ScaleMATH 147Power FunctionSlope

Explaining the logarithmic scale and a semilog plot

Exponential FunctionGraphLogarithmLogarithmic ScaleMATH 147Point-Slope FormSemilog PlotSlope

Using logarithms to transform a power function into a linear function

Double-Log PlotGraphLineLogarithmLogarithm PropertiesLogarithmic ScaleMATH 147Power Function

Writing a non-linear function for the graph containing two points on a double-log plot

Double-Log PlotLogarithmMATH 147Point-Slope FormPower FunctionSlope

Using logarithms to transform an exponential function to a linear function

Exponential FunctionGraphLogarithmLogarithm PropertiesMATH 147Semilog Plot