Newton's Method Solver

Iterative root finding

All Tools

Function f(x)

x₀ (initial)

Tolerance

✓ Converged in 5 iters

1.414213562373

Iterations

n=0x=1.00000000err=5.00e-1

n=1x=1.50000000err=8.33e-2

n=2x=1.41666667err=2.45e-3

n=3x=1.41421569err=2.12e-6

n=4x=1.41421356err=1.59e-12

n=5x=1.41421356err=0.00e+0

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About Newton's Method Solver

A Newton's method (Newton-Raphson) root-finding calculator. Enter a function and initial guess to iteratively approximate roots using xₙ₊₁ = xₙ − f(xₙ)/f′(xₙ). Shows iteration table with convergence, error at each step, and supports common functions. All calculations are client-side. Essential for numerical analysis, engineering, and applied mathematics.

Newton's Method Solver Features

6 functions
Iteration table
Convergence
Error tracking
Max 50 iters

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