The equation of a curve $G$ is given by ${{x}^{2}}y-\ln y=1$, where $x0$. Show that $\frac{\mathrm{d

Question

The equation of a curve $G$ is given by ${{x}^{2}}y-\ln y=1$, where $x0$. Show that $\frac{\mathrm{d}y}{\mathrm{d}x}=\frac{2x{{y}^{2}}}{1-{{x}^{2}}y}$.[3] Find the equation of the tangent to $G$ at the point $P$ where $y=1$.[3]

Accepted Answer

(a) shown; (b) $x = -1$

2022 HCI Promo Q2

2022 HCI Promo Q2

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