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
Use the product rule to find the derivative of
##f(x) = (x^3 + 5x)(2x^2)##
##f(x) = (x^3 + 5x)(2x^2)##
Find the derivative of ##f(x) = \sin{x}(x^2 + 5)##
Use the product rule to find the derivative of ##y = 5x(x^2 - 2) ##
Use the product rule to find the derivative of ##y = (3x^2 + 2x) (2x^4 - 5) ##
Find the first derivative of ##y = 2x \sin({x^2})##
Find the derivative of ##y = e^{2x}(x-1) + 8 - 5x^2##
Use the quotient rule to find the derivative of the following funciton,
##f(x) = \frac{x - 1}{x^2 + 2x + 1}##
##f(x) = \frac{x - 1}{x^2 + 2x + 1}##
Find ##f\prime(x)##
##f(x) = \frac{5x^2 - 1}{2x^3 + 3}##
##f(x) = \frac{5x^2 - 1}{2x^3 + 3}##
Given ##f(x)##, find the equation of the tangent line at the point ##(-1, -2)##
##f(x) = \frac{4x}{(1 + x^2)}##
##f(x) = \frac{4x}{(1 + x^2)}##
Use the quotient rule to find the derivative of ##y = \frac{5x}{6x^2 + 2x}##