Newton-Raphson Method Calculator

Calculate Roots Using Newton-Raphson Method

Use 'x' as the variable. Examples: 'x^2 - 4', 'sin(x)', 'exp(x)-1'.
The derivative of f(x).
A starting value close to the root.
The maximum number of steps to perform.
Desired accuracy for f(x) near zero.
Number of decimal places for the final root.

Calculation Results

Iteration Steps:

Iteration (n) xn f(xn) f'(xn) xn+1

Unlock the power of numerical analysis with our Newton-Raphson Method Calculator. This essential tool helps you efficiently find the roots of a real-valued function using its derivative. Perfect for students, engineers, and researchers needing accurate, iterative solutions to complex equations.

Formula:

The Newton-Raphson method is an iterative process to find successively better approximations to the roots (or zeroes) of a real-valued function. The formula is given by:

xn+1 = xn - f(xn) / f'(xn)

  • xn+1: The next approximation of the root.
  • xn: The current approximation of the root (initial guess for the first iteration).
  • f(xn): The value of the function at xn.
  • f'(xn): The value of the derivative of the function at xn.

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