2025 PHS P2 Q2

2025 PHS P2 Q2

Secondary 4
5 marks

It is given that \(y=\dfrac{2x+3}{1+4x}-x\) for \(x>-\dfrac14\).

  1. Find \(\dfrac{\mathrm{d}y}{\mathrm{d}x}\).[3]
  2. Hence explain why \(y\) can never be an increasing function.[2]

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(a) \(-\dfrac{10}{(1+4x)^2}-1\). (b) The derivative is always negative.

Need help? Join our JC Math tuition classes.

Learn more