0606 P21 - Jun 2017 - Q3 - 4 marks
8583
The variables \(x\) and \(y\) are such that \(y=\ln(x^2+1)\).
(i) Find an expression for \(\dfrac{dy}{dx}\).
(ii) Hence, find the approximate change in \(y\) when \(x\) increases from \(3\) to \(3+h\), where \(h\) is small.
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