# How do you use implicit differentiation to find the slope of the curve given #1/(x+1)+1/(y+1)=1# at (1,1)?

##### 2 Answers

The curve has a slope of

#### Explanation:

Solve for

The slope, or rate of change of the curve is

#### Explanation:

then

NOTE. What is de difference between

Attached two graphics. The first is associated to

and the second is associated to

This second graphic is clean, without the singularities in