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

Finding a formula for a higher order derivative and a formula for the second derivative of a product

Chain RuleDerivativeFactorialHigher DerivativeInductionnth DerivativePower RuleProduct RuleRational FunctionSecond Derivative

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

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

Explaining the formulas for the derivatives of exponential functions

Chain RuleDerivativeExponential FunctionLimitLogarithmLogarithm PropertiesMATH 147Power Rule

Calculating the derivative of a function with exponentials using the chain and product rule

Chain RuleDerivativeExponential FunctionMATH 147PolynomialPower RuleProduct Rule

Differentiating functions using the Power Rule

DerivativeFirst DerivativeMATH 151PolynomialPower Rule