Newton-Raphson Method Calculator - Interactive Root Finding Tool

What is the Newton-Raphson Method?

The Newton-Raphson Method is an efficient numerical method for finding successively better approximations to the roots (or zeroes) of a real-valued function. It uses the derivative of the function for more accurate results.

Learn more about how it works

1. Start with an initial guess \(x_0\).
2. Use the formula \(x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}\) to find the next approximation.
3. Repeat the process until the result converges (when \(f(x)\) is sufficiently close to zero).
4. The derivative \(f'(x)\) is essential for the method to work, and if \(f'(x)\) is too small, the method may fail.

Input Parameters

Try these:

x³ - 2x - 5

x² - 4

log(x) - 2

e^x - 3

x⁴ - 16

cos(x) - x

x³ + 4x² - 10

Function (in terms of x):

Derivative (in terms of x):

Initial Guess:

Maximum Iterations:

Steps & Output

Iteration	x	f(x)	f'(x)

Function Graph

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