A curve is given by the equation \(y = \frac{3x + 10}{\sqrt{x + 1}}\).
Find \(\frac{\mathrm{d}y}{\mathrm{d}x}\) and hence find the \(x\)-coordinate of the turning point of the curve.[3]
Use calculus to find the value of the second derivative at the turning point and state the nature of this turning point.[3]