# How do you differentiate #-y=lnxy-xy#?

##### 1 Answer

Jun 27, 2016

#### Explanation:

this is a bit easier [administratively] if you use the Implicit Function Theorem...

which says that

so from

we get

and so....

and

so using the IFT....

there are some pretty simple ways to intuit the Implicit Function Theorem

one is to note that if

then the total differential

and

so