code: def central_difference(x, y):
      '''Returns the dy/dx(x) via central difference method
  
      Parameters
      ----------
      x : array like
      y : array like
  
      Returns
      -------
      dy/dx : array like
      '''
      if (len(x) != len(y)):
          raise ValueError("x, y must have the same length")
      z1 = np.hstack((y[0], y[:-1]))
      z2 = np.hstack((y[1:], y[-1]))
      dx1 = np.hstack((0, np.diff(x)))
      dx2 = np.hstack((np.diff(x), 0))
      return (z2 - z1) / (dx2 + dx1f central_difference(x, y):
      '''Returns the dy/dx(x) via central difference method
  
      Parameters
      ----------
      x : array like
      y : array like
  
      Returns
      -------
      dy/dx : array like
      '''
      if (len(x) != len(y)):
          raise ValueError("x, y must have the same length")
      z1 = np.hstack((y[0], y[:-1]))
      z2 = np.hstack((y[1:], y[-1]))
      dx1 = np.hstack((0, np.diff(x)))
      dx2 = np.hstack((np.diff(x), 0))
      return (z2 - z1) / (dx2 + dx1)
docs: Returns the dy/dx(x) via central difference method
  
      Parameters
      ----------
      x : array like
      y : array like
  
      Returns
      -------
      dy/dx : array like