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0606 P13 - Nov 2019 - Q3 - 6 marks
8346

(i) Differentiate

\(y=(3x^2-1)^{-\frac13}\)

with respect to \(x\).

(ii) Find the approximate change in \(y\) as \(x\) increases from \(\sqrt3\) to \(\sqrt3+p\), where \(p\) is small.

(iii) Find the equation of the normal to the curve \(y=(3x^2-1)^{-\frac13}\) at the point where \(x=\sqrt3\).

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