YES
Input TRS:
AC symbols: + *
      1: dx(X()) -> 1()
      2: dx(0()) -> 0()
      3: dx(1()) -> 0()
      4: dx(a()) -> 0()
      5: dx(+(f,g)) -> +(dx(f),dx(g))
      6: dx(*(f,g)) -> +(*(dx(f),g),*(dx(g),f))
      7: dx(-(f,g)) -> -(dx(f),dx(g))
      8: dx(neg(f)) -> neg(dx(f))
      9: dx(/(f,g)) -> -(/(dx(f),g),/(*(dx(g),f),exp(g,2())))
      10: dx(ln(f)) -> /(dx(f),f)
      11: dx(exp(f,g)) -> +(*(dx(f),*(exp(f,-(g,1())),g)),*(dx(g),*(exp(f,g),ln(f))))
Number of strict rules: 11
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #dx(*(f,g)) -> #dx(f)
     #2: #dx(*(f,g)) -> #dx(g)
     #3: #dx(/(f,g)) -> #dx(f)
     #4: #dx(/(f,g)) -> #dx(g)
     #5: #dx(exp(f,g)) -> #dx(f)
     #6: #dx(exp(f,g)) -> #dx(g)
     #7: #dx(-(f,g)) -> #dx(f)
     #8: #dx(-(f,g)) -> #dx(g)
     #9: #dx(ln(f)) -> #dx(f)
     #10: #dx(+(f,g)) -> #dx(f)
     #11: #dx(+(f,g)) -> #dx(g)
     #12: #dx(neg(f)) -> #dx(f)
Number of SCCs: 1, DPs: 12
  SCC { #1..12 }
POLO(Sum)... succeeded.
      a 	w: 0
      1 	w: 0
      ln	w: x1 + 1
      / 	w: x1 + x2 + 1
      #dx	w: x1
      dx	w: 0
      0 	w: 0
      - 	w: x1 + x2 + 1
      neg	w: x1 + 1
      2 	w: 0
      exp	w: x1 + x2 + 1
      + 	w: x1 + x2 + 1
      X 	w: 0
      * 	w: x1 + x2 + 1
    USABLE RULES: { }
    Removed DPs: #1..12
Number of SCCs: 0, DPs: 0
Next Dependency Pairs:
Number of SCCs: 0, DPs: 0