<p>It is given that $y={{x}^{xy}}$ , where $x>0$, $y>0$ . Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ in terms of $x$ and $y$. Hence find the equation of the tangent to the curve $y={{x}^{xy}}$which is parallel to the $y$-axis.</p><p style="text-align: right;">[6]</p>

It is given that $y={{x}^{xy}}$ , where $x>0$, $y>0$ . Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ in terms of $x$ and $y$. Hence find the equation of the tangent to the curve $y={{x}^{xy}}$which is parallel to the $y$-axis.

Applications of Differentiation

H2 Math

International Baccalaureate Higher Level Mathematics

2012 HCI P1 Q3

2012 HCI P1 Q3

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