What is the slope of the tangent line of # (y+e^x)/(y-e^y) =C #, where C is an arbitrary constant, at #(-2,1)#?
The slope at
One approach is to proceed with the calculus, as this is posted as a claculus problem. We can do some simplifying algebra first:
If we now differentiate wrt x in order to obtain the slope:
But we also know that
This is how it occurred me to do it off the bat. I reckon there must be better/cleverer ways but I leave that to you!