The equation of a curve is \(y = 3x + 1 - 4(3x + 1)^{\frac{1}{2}}\) for \(x > -\frac{1}{3}\).

(a) Find \(\frac{dy}{dx}\) and \(\frac{d^2y}{dx^2}\).

(b) Find the coordinates of the stationary point of the curve and determine its nature.