2026 CSS P1 Q1

2026 CSS P1 Q1

Secondary 4
3 marks

A particle moves along the curve \(y=\ln(4x-1)\) in such a way that the \(y\)-coordinate of the particle is increasing at a rate of 0.05 units per second. Find the rate of change of the \(x\)-coordinate of the particle at the instant when \(x=6\).[3]

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Answer:\(\dfrac{23}{80}\) units per second.

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