Calculus 1: Chain 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 chain rule to find the derivative of the following function,
##f(x) = {(4x^2 + 5)}^{10}##
##f(x) = {(4x^2 + 5)}^{10}##
Use the chain rule to find the derivative of the following function
##f(x) = \sqrt{3x^3 + 10x}##
##f(x) = \sqrt{3x^3 + 10x}##
Find the derivative of ##f(x) = \frac{2}{5x^2 + 3x}##
Given ##y = 4 (3x + 4)^5## find ##\frac{dy}{dx}##
Find the derivative of ##y = {(2x - 5)}^2##
Practice the chain rule by finding the derivative of the following function
##y = \sqrt{3x + 4}##
##y = \sqrt{3x + 4}##
Find the derivative of ##y = \sin{(3x^2 - 1)}##
Find the derivative of ##y = {(x^2 + 3x)}^7##
Find the derivative of the following function
##y = \frac{\ln{(x - 1)}}{\sqrt{x^{\pi} + 1}}##
##y = \frac{\ln{(x - 1)}}{\sqrt{x^{\pi} + 1}}##
Find the derivative of the following function
##f(n) = \sin{(n^2 + e^n + 1)}##
##f(n) = \sin{(n^2 + e^n + 1)}##