basic

Newton's Method Step Calculator

One iteration of x_{n+1} = x_n − f(x_n) / f'(x_n).

Perform one Newton-Raphson iteration to refine an estimate of a root: x_{new} = x − f(x) / f'(x), given the current estimate x and the values of f(x) and f'(x) there.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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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_{new} = x − f(x) / f'(x)

In depth

Perform one Newton-Raphson iteration to refine an estimate of a root: x_{new} = x − f(x) / f'(x), given the current estimate x and the values of f(x) and f'(x) there.