basic

Newton-Raphson One-Iteration Update Calculator

x_{n+1} = x_n − f(x_n) / f'(x_n).

Apply a single iteration of Newton's method (Newton-Raphson) given the current estimate x_n, the function value f(x_n), and the derivative value f'(x_n). The update is x_{n+1} = x_n − f(x_n) / f'(x_n). Reports the new estimate and the absolute step size for convergence diagnostics.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

x_{n+1} = x_n − f(x_n) / f'(x_n).

In depth

Apply a single iteration of Newton's method (Newton-Raphson) given the current estimate x_n, the function value f(x_n), and the derivative value f'(x_n). The update is x_{n+1} = x_n − f(x_n) / f'(x_n). Reports the new estimate and the absolute step size for convergence diagnostics.