2026 TKGS WA2 Q1

2026 TKGS WA2 Q1

Secondary 4
5 marks
  1. Find \(\dfrac{\mathrm{d}}{\mathrm{d}x}\left[\sin(x^2)+\cos^3x+\tan x\right]\).[3]
  2. Integrate \(\dfrac{2x^5-3\sqrt{x}}{x^2}\) with respect to \(x\).[2]

Solution:

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Answer:(a) \(2x\cos(x^2)-3\cos^2x\sin x+\sec^2x\). (b) \(\dfrac{x^4}{2}+\dfrac6{\sqrt{x}}+C\).

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