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Calculus 1: Product and Quotient Rule

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All Calculus 1LimitsDefinition of the DerivativeProduct and Quotient RulePower Rule and Basic DerivativesDerivatives of Trig FunctionsExponential and Logarithmic FunctionsChain RuleInverse and Hyperbolic Trig DerivativesImplicit DifferentiationRelated Rates ProblemsLogarithmic DifferentiationGraphing and Critical PointsOptimization ProblemsIndeterminate Forms and l'Hospital's RuleLinear Approximation and DifferentialsNewton Raphson MethodIndefinite IntegralsU SubstitutionDefinite Integrals and Fundamental TheoremApplications of Integration
Product Rule Derivative

Use the product rule to find the derivative of

f(x)=(x3+5x)(2x2)f(x) = (x^3 + 5x)(2x^2)

Product and Quotient RuleMediumVideo
Product Rule Derivatives

Use the product rule to find the derivative of y=(3x2+2x)(2x4−5)y = (3x^2 + 2x) (2x^4 - 5)

Product and Quotient RuleMediumVideo
Product Rule Differentiation

Find the first derivative of y=2xsin⁡(x2)y = 2x \sin({x^2})

Product and Quotient RuleMediumVideo
Quotient Rule Examples

Find f′(x)f\prime(x)

f(x)=5x2−12x3+3f(x) = \frac{5x^2 - 1}{2x^3 + 3}

Product and Quotient RuleMediumVideo
Quotient Rule Calculus

Use the quotient rule to find the derivative of y=5x6x2+2xy = \frac{5x}{6x^2 + 2x}

Product and Quotient RuleMediumVideo