Question

How do you find the derivative of `F(x)= (x+1)/(x-1)`?

Answer 1

`F'(x)= =-2/(x-1)^2`

Explanation:

`F(x) = (x+1)/(x-1)`

Applying the Quotient Rule:

`F'(x) = ((x-1)*1 - (x+1)*1)/(x-1)^2`

`= (x-1-x-1)/(x-1)^2`

`=-2/(x-1)^2`