0606 P21 - Jun 2018 - Q2 - 5 marks
8445
The variables \(x\) and \(y\) are such that
\(y=\ln(3x-1),\qquad x\gt\frac13.\)
(i) Find \(\dfrac{dy}{dx}\).
(ii) Hence find the approximate change in \(x\) when \(y\) increases from \(\ln(1.2)\) to \(\ln(1.2)+0.125\).
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