code: def eval_with_derivative(self,x):
          '''
          Evaluates the interpolated function and its derivative at the given input.
  
          Parameters
          ----------
          x : np.array or float
              Real values to be evaluated in the interpolated function.
  
          Returns
          -------
          y : np.array or float
              The interpolated function evaluated at x: y = f(x), with the same
              shape as x.
          dydx : np.array or float
              The interpolated function's first derivative evaluated at x:
              dydx = f'(x), with the same shape as x.
          '''
          z = np.asarray(x)
          y, dydx = self._evalAndDer(z.flatten())
          return y.reshape(z.shape), dydx.reshape(z.shapef eval_with_derivative(self,x):
          '''
          Evaluates the interpolated function and its derivative at the given input.
  
          Parameters
          ----------
          x : np.array or float
              Real values to be evaluated in the interpolated function.
  
          Returns
          -------
          y : np.array or float
              The interpolated function evaluated at x: y = f(x), with the same
              shape as x.
          dydx : np.array or float
              The interpolated function's first derivative evaluated at x:
              dydx = f'(x), with the same shape as x.
          '''
          z = np.asarray(x)
          y, dydx = self._evalAndDer(z.flatten())
          return y.reshape(z.shape), dydx.reshape(z.shape)
docs: Evaluates the interpolated function and its derivative at the given input.
  
          Parameters
          ----------
          x : np.array or float
              Real values to be evaluated in the interpolated function.
  
          Returns
          -------
          y : np.array or float
              The interpolated function evaluated at x: y = f(x), with the same
              shape as x.
          dydx : np.array or float
              The interpolated function's first derivative evaluated at x:
              dydx = f'(x), with the same shape as x.