code: def dup_diff(f, m, K):
      """
      ``m``-th order derivative of a polynomial in ``K[x]``.
  
      Examples
      ========
  
      >>> from sympy.polys import ring, ZZ
      >>> R, x = ring("x", ZZ)
  
      >>> R.dup_diff(x**3 + 2*x**2 + 3*x + 4, 1)
      3*x**2 + 4*x + 3
      >>> R.dup_diff(x**3 + 2*x**2 + 3*x + 4, 2)
      6*x + 4
  
      """
      if m <= 0:
          return f
  
      n = dup_degree(f)
  
      if n < m:
          return []
  
      deriv = []
  
      if m == 1:
          for coeff in f[:-m]:
              deriv.append(K(n) * coeff)
              n -= 1
      else:
          for coeff in f[:-m]:
              k = n
  
              for i in range(n - 1, n - m, -1):
                  k *= i
  
              deriv.append(K(k) * coeff)
              n -= 1
  
      return dup_strip(deriv)
  
imports: from sympy.polys.densearith import dup_add_term, dmp_add_term, dup_lshift, dup_add, dmp_add, dup_sub, dmp_sub, dup_mul, dmp_mul, dup_sqr, dup_div, dup_rem, dmp_rem, dmp_expand, dup_mul_ground, dmp_mul_ground, dup_quo_ground, dmp_quo_ground, dup_exquo_ground, dmp_exquo_ground
  from sympy.polys.densebasic import dup_strip, dmp_strip, dup_convert, dmp_convert, dup_degree, dmp_degree, dmp_to_dict, dmp_from_dict, dup_LC, dmp_LC, dmp_ground_LC, dup_TC, dmp_TC, dmp_zero, dmp_ground, dmp_zero_p, dup_to_raw_dict, dup_from_raw_dict, dmp_zeros
  from sympy.polys.polyerrors import MultivariatePolynomialError, DomainError
  from sympy.utilities import variations
  from math import ceil, log
label_desc: Use image node_id 5 for calling a global function with example usage: dup_diff(f, m, K) and returns: dup_strip, f, list