From: fateman@cs.berkeley.edu   
      
   On 7/18/2016 11:24 AM, Axel Vogt wrote:   
   > Maple's notation (D(f) = derivative of f):   
   >   
   > int(x*D(f)(x^2),x);   
   >                                      2   
   >                               1/2 f(x )   
      
   Maybe you need a better notation. What if f is   
   a function of more than one variable?   
      
   Conventional mathematics does   
   not really provide a standard notation for   
   "derivative of f with respect to its second formal argument"   
   but a CAS need this, sometimes.  e.g. what is   
   diff(f(g(x),h(x^2)), x) ?   
      
   Mathematica makes up a notation like   
      
            2   (0,1)          2   
   2 x h'[x ] f      [g[x],h[x ]] + ...   
      
   Maxima seems to require you to name these gradients, e.g. you could do   
      
   gradef(f(u,v), f01(u,v), f10(u,v));   
      
   how about Axiom, Fricas, Maple, DrHuang, etc?   
   And anyone have a reputable reference to provide   
   a mathematical standard?   
      
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