Skip to Content
PracticeProblems.org

Calculus 1: Chain Rule

Expand
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
The Chain Rule

Use the chain rule to find the derivative of the following function,

f(x)=(4x2+5)10f(x) = {(4x^2 + 5)}^{10}

Chain RuleMediumVideo
Chain Rule Practice

Practice the chain rule by finding the derivative of the following function

y=3x+4y = \sqrt{3x + 4}

Chain RuleMediumVideo
Chain Rule Trig Functions

Find the derivative of y=sin⁡(3x2−1)y = \sin{(3x^2 - 1)}

Chain RuleMediumVideo
Chain Rule Example Problem

Find the derivative of the following function

f(n)=sin⁡(n2+en+1)f(n) = \sin{(n^2 + e^n + 1)}

Chain RuleMediumVideo