2024 CCHY P1 Q4

2024 CCHY P1 Q4

  1. Given that \( \mathrm{f}(x) = \frac{2x + 3}{\sqrt{4x - 3}}\), find \( \mathrm{f}'(x)\).
  2. Find the set of values of \(x\) for \(y = \ln\left(\frac{3 + 8x}{8x - 5}\right)\) to be a decreasing function.

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Answer:(a) \(f'(x)=\frac{4x-12}{(4x-3)^{3/2}}\) (b) \(x<-\frac38\) or \(x>\frac58\)

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