The variables \(x\) and \(y\) are related by

\(y=\frac{\sqrt{3x^2-2}}{x-4}\).

(a) Show that \(\frac{dy}{dx}\) can be written in the form

\(\frac{Ax+B}{(x-4)^2\sqrt{3x^2-2}},\)

where \(A\) and \(B\) are integers to be found.

(b) When \(x=3\), \(x\) is increased by a small amount \(h\). Find the approximate change in \(y\), in terms of \(h\).