Skip to Content
PracticeProblems.org

Approximate the Root

Home | Calculus 1 | Newton Raphson Method | Approximate the Root
Newton Raphson MethodMediumVideo

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.

Posted by Ryan Burke a year ago

Related Problems

Approximate the 4th root of 75 using Newtowns Method

Approximate 754\sqrt[4]{75} using the Newton Raphson method

Newton Raphson MethodEasyVideo
Newton Raphson Method Problem

Use the Newton Raphson method to approximate the real zero close to x=1x = 1 until two successive approximations differ by less than 0.005 for the following function

f(x)=2x2−3f(x) = 2x^2 - 3

Newton Raphson MethodHardVideo
Newtons Method Approximate Real Zeros of a Function

Find the real zeros of f(x) and find the x intercepts for f(x)=x2−5f(x) = x^2 -5

Newton Raphson MethodMediumVideo
Newton's Method Roots

Use Newton's Method to approximate the solution to the following equation

cos⁡(x)=x5\cos{(x)} = \frac{x}{5}

Newton Raphson MethodHardVideo