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

Using logarithms to transform a power function into a linear function

Double-Log PlotGraphLineLogarithmLogarithm PropertiesLogarithmic ScaleMATH 147Power Function

Using logarithms to transform an exponential function to a linear function

Exponential FunctionGraphLogarithmLogarithm PropertiesMATH 147Semilog Plot

Explaining the formulas for the derivatives of exponential functions

Chain RuleDerivativeExponential FunctionLimitLogarithmLogarithm PropertiesMATH 147Power Rule

Using logarithmic differentiation to find the derivative of a function

CosineDerivativeFirst DerivativeImplicit DifferentiationLogarithmLogarithm PropertiesLogarithmic DifferentiationMATH 151Product RuleSine

Using logarithmic differentiation to find the derivative of a function

Chain RuleCosineDerivativeFirst DerivativeImplicit DifferentiationLogarithmLogarithm PropertiesLogarithmic DifferentiationMATH 151Product RuleSine

Evaluating a limit using logarithm properties

L'Hopital's RuleLimitLimit Involving InfinityLogarithmLogarithm PropertiesMATH 151Rational Function

Evaluating a limit using L'Hospital's Rule

Chain RuleDerivativeIndeterminate FormL'Hopital's RuleLimitLogarithmLogarithm PropertiesMATH 151

Evaluating a limit with an indeterminate power using L'Hospital's Rule

DerivativeExponential FunctionIndeterminate FormIndeterminate PowerL'Hopital's RuleLimitLogarithmLogarithm PropertiesMATH 151