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Calculus 1: Newton Raphson Method

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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
Approximate the Root

Starting with an initial value x1=1x_1 = 1, perform 2 iterations of Newton's Method on f(x)=x3−x−1f(x) = x^3 - x - 1 to approximate the root.

Newton Raphson MethodMediumVideo
Newton's Method Solution

Use Newton's Method to approximate a solution to 2cos⁡(x)=3x2\cos{(x)} = 3x (Let x0=π6x_0 = \frac{\pi}{6} and find x2x_2)

Newton Raphson MethodMediumVideo