2013 YJC Promo Q4 (a)

2013 YJC Promo Q4 (a)

4 marks

Promo

It is given that \({{y}^{x}}={{e}^{y}}{{x}^{2}}\) . Find \(\frac{\mathrm{d}y}{\mathrm{d}x}\)in terms of \(x\) and \(y\), simplifying your answer.[4]

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Answer:\(dy/dx = (y/x)((2 - x ln y)/(x - y))\)

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