2026 CCHY P1 Q5

2026 CCHY P1 Q5

Secondary 4
4 marks

The curve \(C\) has equation \(y=\ln\left[\dfrac{(2x+1)^3}{e^{3x}}\right]\), \(x>-\dfrac12\).

  1. Find \(\dfrac{\mathrm{d}y}{\mathrm{d}x}\).[2]
  2. Find the \(y\)-coordinate of the stationary point of \(C\), leaving your answer in the form \(a+\ln b\), where \(a\) and \(b\) are rational numbers.[2]

Solution:

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Answer:(a) \(\dfrac6{2x+1}-3\). (b) \(-\dfrac32+\ln8\).

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