The variables $x$ and $y$ are related by $y=\sqrt{x}+\ln {{\left( xy \right)}^{3}}$. Find the value

Question

The variables $x$ and $y$ are related by $y=\sqrt{x}+\ln {{\left( xy \right)}^{3}}$. Find the value of $\frac{\mathrm{d}y}{\mathrm{d}x}$ when both $x$ and $y$ are equal to $1$. [4]

Accepted Answer

$\frac{\mathrm{d}y}{\mathrm{d}x} = -\frac{7}{4}$

2010 MJC P2 Q4 (a)

2010 MJC P2 Q4 (a)

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