# What is the slope of the tangent line of # (x^2-y^2)/(sqrt(4y-x)+xy) =C #, where C is an arbitrary constant, at #(1,1)#?

##### 1 Answer

Mar 17, 2018

Please see below.

#### Explanation:

Given that

The equation is equivalent to

Differentiating implicitly, we have:

At

(Note that

graph{(x^2-y^2)/(sqrt(4y-x)+xy) =0 [-6.496, 7.55, -1.824, 5.2]}