# What is the slope of the tangent line of # (xy-1/(yx))(xy+1/(xy)) =C #, where C is an arbitrary constant, at #(1,5)#?

##### 1 Answer

Jan 15, 2016

I got

#### Explanation:

We are told that the point

So we can find

As written, this looks tedious to differentiate implicitly, so let's rewrite it as:

Or better, still,

Solving for the derivative gets us

Evaluating at

**Bonus**

Regardless of the constant, at