0606 P22 - Mar 2019 - Q7 - 6 marks
8247
(i) Given that \(y=x\sqrt{x^2+1}\), show that \(\dfrac{dy}{dx}=\dfrac{ax^2+b}{(x^2+1)^p}\), where \(a\), \(b\) and \(p\) are positive constants.
(ii) Explain why the graph of \(y=x\sqrt{x^2+1}\) has no stationary points.
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