mathematica 怎么求隐函数导数例如xy - e^x + e^y要怎么写语句

Question

mathematica 怎么求隐函数导数
例如xy - e^x + e^y
要怎么写语句

Answer 1

In[10]:= Clear[x,y]; D[x*y - E^x - E^y,x,NonConstants -> {y}]
Out[10]= -E^x + y - E^y D[y,x,NonConstants -> {y}] +
x D[y,x,NonConstants -> {y}]