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Calculus 1: Linear Approximation and Differentials

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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
Linearization Calculus

Find the linearization of f(x)=(1+x)Pf(x) = {(1 + x)}^{P} at 00, and approximate f(0.99)f(\sqrt{0.99})

Linear Approximation and DifferentialsEasyVideo
Linear Approximation Practice Problems

Approximate f(x)=x3f(x) = \sqrt[3]{x} at x=26x = 26

Linear Approximation and DifferentialsEasyVideo
Differentials Calculus

Let f(x)=xf(x) = \sqrt{x} at x=4x = 4 and Δx=0.02\Delta{x} = 0.02

Find dxdx, dydy, Δy\Delta{y}

Linear Approximation and DifferentialsEasyVideo