Python/arithmetic_analysis/newton_method.py

# Newton's Method - https://en.wikipedia.org/wiki/Newton%27s_method

def newton(function,function1,startingInt): #function is the f(x) and function1 is the f'(x)
  x_n=startingInt
  while True:
      x_n1=x_n-function(x_n)/function1(x_n)
      if abs(x_n-x_n1) < 10**-5:
          return x_n1
      x_n=x_n1
      
def f(x):
    return (x**3) - (2 * x) -5

def f1(x):
    return 3 * (x**2) -2

if __name__ == "__main__":
    print(newton(f,f1,3))