Differentiation rules practice question 8

$q$ is a quotient. Work out $q'$ yourself with the rule for quotients, simplify it, and only then compare with the choices.

The quotient rule is $\left(\dfrac{u}{v}\right)' = \dfrac{u'v - uv'}{v^{2}}$. Order matters in the numerator.

With $u = x^{2} + 1$ and $v = x - 2$, the numerator is $2x(x - 2) - (x^{2} + 1)$. Expand it fully.