code: 
  
  
  import math as m
  
  
  
  
  
  
  
  def  _lowerCamelCase(			lowercase__     ,				lowercase__     ,				lowercase__=0.001			)		->			int:
  
  		'''simple docstring'''
  
  
  
  
  
  
  
  		return (f(a + h			) - f(a - h			)) / (2 * h)
  
  
  
  
  
  
  
  def  _lowerCamelCase(			lowercase__     ,				lowercase__=0     ,				lowercase__=1_0_0     ,				lowercase__=0.0001     ,				lowercase__=1E-6     ,				lowercase__=False			)		->			Any:
  
  		'''simple docstring'''
  
  
  
  
  
  
  
  		__lowercase=    xa  # set the initial guess
  		__lowercase=    [a]
  		__lowercase=    abs(f(lowercase__			)			)
  		__lowercase=    lambda lowercase__			: calc_derivative(lowercase__     ,				lowercase__     ,				h=lowercase__			)  # noqa: E731  Derivative of f(x)
  		for _ in range(lowercase__			):
  				if fa(lowercase__			) == 0:
  						raise ValueError('No converging solution found'			)
  				__lowercase=    a - f(lowercase__			) / fa(lowercase__			)  # Calculate the next estimate
  				if logsteps:
  						steps.append(lowercase__			)
  				if error < maxerror:
  						break
  		else:
  				raise ValueError('Iteration limit reached, no converging solution found'			)
  		if logsteps:
  				# If logstep is true, then log intermediate steps
  				return a, error, steps
  		return a, error
  
  
  if __name__ == "__main__":
  	from matplotlib import pyplot as plt
  
  	lowerCAmelCase					 =	lambda x: m.tanh(x) ** 2 - m.exp(3 * x)  # noqa: E731
  	lowerCAmelCase ,lowerCAmelCase ,lowerCAmelCase					 =	newton_raphson(
  	    f, xa=1_0, maxiter=1_0_0_0, step=1E-6, logsteps=True
  	)
  	plt.plot([abs(f(x)) for x in steps])
  	plt.xlabel('''step''')
  	plt.ylabel('''error''')
  	plt.show()
  	print(F'solution = {{{solution:f}}}, error = {{{error:f}}}')
  
  
  
  
  
  
  
style_context: 
  
  
  def  _lowerCamelCase(			lowercase__			)		->			str:
  
  		'''simple docstring'''
  
  
  
  
  
  
  
  		return " ".join([word[::-1] for word in input_str.split()]			)
  
  
  if __name__ == "__main__":
  	import doctest
  
  	doctest.testmod()
  
  
  
  
  
  
  