Question

How do you find the derivative of `y = (x+2)/(x-2)`?

Answer 1

Using the quotient rule, which states that for `y=f(x)/g(x)`, we'll have `y'=(f'(x)g(x)-f(x)g'(x))/(g(x)^2)`, we have

`(dy)/(dx)=(1*(x-2)-(x+2)*1)/(x-2)^2=(cancel(x)-2-cancel(x)-2)/(x-2)^2=-4/(x-2)^2`