# 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
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt
 $\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)}}$\\$

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