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:

X_{1} = x_{0} -(f(x_{0})/f’(x_{0}))

Here

X_{0} is the initial value

f(x_{0}) is the function at the initial value x_{0}

f’(x_{0}) is the first derivative of the function at the initial value x_{0}

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.**