# Newtons Method Calculator

Newton’s Method Calculator is a free online tool that displays better approximation to the roots of the real-valued function. CoolGyan’S online Newton’s method calculator tool performs the calculation faster, and it displays the approximation values in a fraction of seconds.

## How to Use Newton’s Method Calculator?

The procedure to use Newton’s method calculator is as follows:

Step 1: Enter the initial value, function at an initial value, the first derivative of the function at the initial value in the input field

Step 2: Now click the button “Submit” to get the result

Step 3: Finally, the approximation value will be displayed in the new window

### What is Meant by Newton’s Method?

In Maths, Newton’s method is also known as the Newton- Raphson Method. This is the quickest method to find a better approximation value for the roots of the real-valued function f(x) = 0. The idea behind Newton’s method is that the continuous and the differentiable functions are approximated by using the straight-line tangent to it. Newton’s method formula is given as:

X1 = x0 -(f(x0)/f’(x0))

Here

X0 is the initial value

f(x0) is the function at the initial value x0

f’(x0) is the first derivative of the function at the initial value x0

The process can be continued many times until the better approximation value is obtained.

Disclaimer: This calculator development is in progress some of the inputs might not work, Sorry for the inconvenience.