VMLC

Differentiation Formulas: MATH 171 Problems 4 & 5

Using the limit definition to find a derivative and proving the power rule

Absolute ValueDerivativeDerivative RulesDifference QuotientLimit Definition of the DerivativePiecewise FunctionPower FunctionPower Rule

Using implicit differentiation to solve a problem and to prove the power rule for rational exponents

DerivativeDifferentiationImplicit DifferentiationPolynomialPower FunctionPower RuleQuotient Rule

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

Chain RuleDerivativeDifferentiableDifferentiationeImplicit DifferentiationLogarithmLogarithmic DifferentiationPower FunctionPower RuleProduct Rule

Explaining the definition of logarithmic scale and double-log plots

Double-Log PlotGraphLineLogarithmLogarithmic ScaleMATH 147Power FunctionSlope

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

The definition of higher derivatives and solving an example

DerivativeFirst DerivativeHigher DerivativeMATH 147Power FunctionPower RuleSecond Derivative

Using derivatives to find the velocity and acceleration functions from the position function

AccelerationChain RuleDerivativeFirst DerivativeHigher DerivativeMATH 147PositionPower FunctionPower RuleSecond DerivativeSquare RootVelocity

Properties of exponents applied to power and exponential expressions

Algebra SeriesExponential FunctionPower FunctionProperties of Exponents