2024 JPJC Promo Q1

2024 JPJC Promo Q1

5 marks

Differentiate each of the following expressions with respect to \(x\).

  1. \(\cos^{-1}\left(3x^2\right)\),[2]
  2. \(\ln\left(\frac{\sqrt{2x+1}}{x^3}\right)\).[3]

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Answer:(a) \(-\dfrac{6x}{\sqrt{1-9x^4}}\) (b) \(\dfrac1{2x+1}-\dfrac3x\)

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