# Newton method f(x) Calculator

## Calculates the root of the equation f(x)=0 from the given function f(x) using Steffensen's method similar to Newton method.

 This method is suitable when the first derivative is not known.

 f(x) initial solution x0 maximum repetition n 10 20 50 100 200 500 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Steffensen's\ method\$10](1)\ x_{n+1}=x_n-{\large\frac{f^2(x_n)}{f(x_n+f(x_n))-f(x_n)}}\\[10]\hspace{30}\[f'(x)\approx{\large\frac{f(x+f(x))-f(x)}{f(x)}}$\\$

Newton method f(x)
 [1-4] /4 Disp-Num5103050100200
[1]  2019/02/07 23:49   Male / 40 years old level / Self-employed people / Useful /
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For Scientific Research
Comment/Request
You are great people.
[2]  2016/10/21 00:41   Male / 20 years old level / High-school/ University/ Grad student / A little /
Comment/Request
This is Steffensen's Method, not Newton's.
from Keisan
"Calculates the root of the equation f(x)=0 from the given function f(x) using Steffensen's method similar to Newton method."
[3]  2015/03/31 08:15   Male / 30 years old level / Self-employed people / Useful /
Purpose of use
[4]  2015/02/09 12:41   Male / Under 20 years old / High-school/ University/ Grad student / Very /
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