Question

How do you find the derivative of `f(x) = (x^2-4)/(x-2)`?

Answer 1

`f'(x)=1` for `x != 2`.

Explanation:

`x^2-4 = (x+2)(x-2)`, so we can reduce quotient for `x != 2`.

`f(x) = x+2` for `x != 2`,

so `f'(x) = 1` for `x != 2`.