Stationary points of a parametric curve
Stationary points of a parametric curve
IB Year 6 | Grade 12
6 marks
A curve is given by \(x=t^2+1\), \(y=t^3-3t\). Find \(\frac{\mathrm dy}{\mathrm dx}\) for \(t\ne0\), and hence find its stationary points.[6]
Solution:
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Answer:\(\frac{3(t^2-1)}{2t};\ (2,2),\ (2,-2)\)
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