\(y=(x^2-1)\sqrt{5x+2}.\)

(a) Show that

\(\frac{dy}{dx}=\frac{Ax^2+Bx+C}{2\sqrt{5x+2}},\)

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

(b) Find the coordinates of the stationary point of the curve for \(x\gt0\). Give your answer correct to 2 significant figures.

(c) Determine the nature of this stationary point.