Newtons Method Calculator

Newton's Method (Newton-Raphson method) is an iterative algorithm for finding roots of a differentiable function f(x) — that is, values of x where f(x) = 0. Starting from an initial guess x₀, it repeatedly applies the update formula to converge to a root

The calculator uses the standard published formula for newtons method. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

This calculator works with inches, watts. You can enter values in the units shown — the calculator handles all conversions internally.

The core formula is: xₙ₊₁ = xₙ − f(xₙ) / f'(xₙ). Each step in the calculation is shown so you can verify the result manually.