# What is the slope of the tangent line of #e^(xy)-e^x/y = C #, where C is an arbitrary constant, at #(0,1)#?

##### 1 Answer

Sep 19, 2017

The slope is

#### Explanation:

If the curve goes through the point

So the only curve of the family going through that point would be:

Taking the logarithm of both sides we have:

Now if

If

So the curve passing through the point