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Dt

Usage

Dt[f, x] 给出全导数 .
Dt[f] 给出全微分  .
Dt[f,  x, n ] 给出高阶导数  .
Dt[f,  ,  , ... ]给出 .


Notes

Dt[f,  , ... , Constants ->   , ...  ]指定  是全导数为0的常数.
• 具有Constant属性的符号被当作全导数为0的常数.
• 如果一个对象被指定为常数,则以该对象为头的所有函数也被当作常数. • 没有被明确指定为常数的所有量被假定依赖于  .
• 例如: Dt[x y]LongRightArrow .
Dt[x y, Constants ->  x ]LongRightArrow .
• 通过给Dt[f]等赋值,你能够指定全导数.
• 参见 Mathematica全书: 1.5.2节 和 3.5.2节.
• 同时参见: D, Derivative.
Further Examples

This gives the total derivative of  with respect to x.

In[1]:=  

Out[1]=

This gives the total differential.

In[2]:=  

Out[2]=

This gives the second derivative with respect to x.

In[3]:=  

Out[3]=

This gives a multiple derivative.

In[4]:=  

Out[4]=



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