2025 ACJC Promo Q1

2025 ACJC Promo Q1

Junior College 1
5 marks

Given that \(y^{\cos x}=x^{\sin 2x}\), find the exact value of \(\dfrac{\mathrm{d}y}{\mathrm{d}x}\) at \(x=\pi\).[5]

Solution:

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Answer:\(-2\ln\pi\)

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