2013 Promo CJC Q4
(a)
Given that $y={{\tan }^{-1}}\sqrt{x}$, find $\frac{\text{d}y}{\text{d}x}$.
[2]
(b)
Given that $\sqrt[x]{y}=\sqrt[y]{x}$, where $x>0$, $y>0$, find $\frac{\text{d}y}{\text{d}x}$ .
[4]
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