2025 IGCSE Additional Mathematics May/June 0606/12 Q8

It is given that \(y=\dfrac{\ln(3x^2+16)}{x+2}\).

1. Find \(\dfrac{\mathrm dy}{\mathrm dx}\) when \(x=0\).
   Give your answer in the form \(\ln p\), where \(p\) is a constant.[5]
2. Given that \(x\) increases from \(0\) to \(h\), where \(h\) is small, write down the approximate change in \(y\).[1]